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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
"Aleksandr Timofeev" wrote in message om... "George Dishman" wrote in message ... "sean" wrote in message om... Hi Sean, Yes I can understand that an object can have or generate `resonance` Systems are usually said to 'exhibit' resonance. but it is true also to say that standing waves and vibrating nodes in mediums like sand water etc also can be said to be resonant systems Take a very long taut wire and send two bursts of a wave of the same frequency travelling in opposite directions from the ends towards the cent --\/\/\/\/\/\/\----------------------/\/\/\/\/\/\/\/--- --- --- When they meet in the middle, they will create a standing wave pattern of while they overlap (it's twice the height but I can't show that) and pass through each other -----------------\/\/\/\/\/\/\------------------------ after that they just separate though --\/\/\/\/\/\/\----------------------/\/\/\/\/\/\/\/--- --- --- The interference pattern in the middle is a wave phenomenon but it is not resonance. Now put a clamp on the wire to stop it moving at each end of a section ------------------------------------------------------ ^ ^ If you tap one end of the wire, it will vibrate. If you tap in sync with the vibration, each tap adds a little energy and the amplitude builds up. This is a resonant system. It is insecure interpretation. Composite interaction of oscillations of two independent generators(oscillators) here is circumscribed. These generators(oscillators) have by a loading the same resonator. The exclusive importance of a "reference frequency" or SYNC here visually is demonstrated. The two waves do not even need to be of the same frequency. If they differ, the pattern of nodes will drift sideways. By the way. What devices are indispensable for the generator(oscillator) of auto-oscillations? No device is indispensable. You need a power source, gain and feedback as Bjacoby said but there are many ways to achieve those. The obvious example is a violin. Now think of two mirrors, or a pice of wave guide with the ends closed off. You can inject light and get a laser or inject RF and get a standing wave as Aleksandr said. These are also resonant but they are called "resonant cavities" because it is the act of closing off the ends that creates the resonance. and store energy and be measured in the same terms of frequencies oscillations as objects. These phenomena are also essentially identical to what would be termed a wave only atom or `particle` . They are stationary and point like They are stationary but cannot be point-like because the length of the cavity must be an integer multiple of half the wavelength. but are not objects like pendulums or particles but superimpositions of many waves on a point source.So it seems to me that for david to say only particles can explain resonance is incorrect and wave only models seen classically as standing wave s are also resonant systems Superimposition and standing waves are not of themselves resonant. What creates the resonance is the cavity that contains them, For a resonance is indispensable: - power source; A pendulum is resonant but contains no power source. - nonlinear transformer of energy; A RLC circuit is linear and resonant. - a source of a reference frequency; A resonant system usually defines its own charateristic frequency without an external reference. - an energy absorber. There is always loss in any real system but it is not a needed for resonance. Contrary to your interpretation, the PHENOMENON of a RESONANCE is ABSORPTION of energy of oscillations by an only PURE RESISTANCE. That would make every resistor connected to an AC supply a resonant system. I don't think your definition will catch on. it is the cavity that is described as resonant and the waves are merely the form of energy that it stores. The resonator ("cavity") has an only PURE RESISTANCE on frequency of a RESONANCE. True. As I said to Aleksandr, this is really just a question of terminology. There is an accepted understanding of the word resonance The accepted understanding of the term "resonance" is disputable. Other understanding of a physical phenomenon of a RESONANCE: ================================================== =================== the PHENOMENON of a RESONANCE is ABSORPTION of energy of oscillations by an only PURE RESISTANCE. ================================================== =================== It takes more than that. and you will be able to explain your ideas best if you stick to that meaning rather than try to adapt it. Remember, a child on a swing is a resonant system, small pushes correctly timed can build up a large amplitude, but it is not a wave phenomenon. You have described here PHENOMENON of the parametric generator(oscillator) of oscillations. No, I have described excitation of a simple harmonic oscillator by a near-impulsive force. If I wanted to describe parametric excitation, I would have talked of the child standing and sitting, not being pushed. George |
#52
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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
"George Dishman" wrote in message ...
Right, now this is a pattern produced by flexing of the plate or by interference of sound travelling through the plate and being reflected from the boundary. Clearly the medium is essential, no plate, no resonance. Hi George I think whole system is elastic and on very short time scales, parts of the `medium` resonate before parts of the container do. In a violin it is the string then the `air and violin case` . The string also vibrates the air as well as the frame and it almost could be said that the air first begins to vibrate within the frame and it then sets off sympathetic vibrations within the wooden frame which then feeds back into the air and string but mostly the energy from all 3 dissapates to the concert hall and in turn to the structure , which then disappates some back to the air and some to the outside or foundations etc... In different situations I think diofferent parts of the system resonate firstbut remember this started out as my response to davids claim that a medium could not exhibit resonance! The sad thing is that even if you agree with me that he is wrong on that point he will still continue to post that a medium cannot resonate. He doesnt seem to listen and learn. They are raised humps of sand each in static position and each hump or node is centerd about 1 point on the plate yet each node is not a distinct object with a distinct edge. Furthermore you can even manipulate these nodes and move them by touching the plate with your finger.These nodes ARE the equivelent of what I call wave only atoms in a medium. Furthermore these nodes are what you call the exhibition of resonance. No, that is the subtlety. You can get node by reflecting a moving wave of a mirror but that is not resonance, just two wave phenomena, reflection and interference. The single mirror doesn't store energy while your vibrating plate could. Yet each node is not an object but a standing wave focused at a point like location in space. Nodes are actually points where the waves cancel. That minor point aside, note that the nodes are produced by superposition of two waves that are moving in opposite directions. Without something to reflect them back and localise the energy, you just have two overlapping waves, not resonance. This is an interesting point as it refers to the part of my argument that follows on from the acceptance that a medium can be said to exhibit resonance and that a wave only atom in a classical model would be described as a node in a medium. This model would have that atom in a infinite universe and I think you even refered earlier that although you could accept the concept of a analogy of the wave only atom in a contained sysetm it breaks down in an open infinite universe system. But does it? If we can agree that in a closed system a medium can resonate and that medium can have maxima nodes that can be compared to atoms in a wave only classical model then I would just have to show how a node in a resonating medium could occur in an open system. there are two points to support this. First of all one prerequisite of the closed system is that like a gas in a chamber the medium has to be of homogenous density or pressure and you would argue taht an open universe would in a sense because it would not be `contained` it wouyld lose pressure etc. My argument would be that in an infinite universe as long as the density is homogenous in all parts of this infinite universe the density at any one point is constant or average. Therefore one important prerequisite for a resonating infinite medium is met. Secondly I thought about it and actually a medium can resonateand standing nodes of maxima CAN occur in our observable world in water or etc in open uncontained systems . This can be done simply by having 2 identical energy sources creating waves and at the point or in the region between the two sources there are standing waves produced | | | A | | | B | | | Above A and B are vibrating sources in an open uncontained medium and the vertical lines denote maxima where overlapping waves create standing waves . This is seen in water tanks etc experiments and shows how classical waves can resonate in an open system and create maxima (in this case bands rather than nodes) So theoretically in a open infinite universe the aethger medium could resonate and nodes of maxima would be possible. And finally how to account for the sources A and B in a infinite classical universe? If the universe is infinite and of homogenous density aether, wave energy of all wavelengths travels across any point from all directions at any time . So at any point in this universe a situation that duplicates the above illustration can occur where the overlapping wavefronts cancel out as in a closed system and create maxima. As the similar wavefronts come from all directions and not just the two as in the above illustration instead of bands of maxima one gets nodes. In otther words this is how a wave only atom can be explained in a infinite universe using examples of resonating open systems of mediums already observed in our world. The medium in which these nodes appear is not one object but can consist of air, gas, water sand etc. It isnt then the cavity that resonates but the medium within the cavity that resonates No, it is the combination. That's why I emphasise it is a system not just the medium. For example your plate would not resonate if it were infinite in size, it is the boundaries that create the resonance. Here you do admit that a medium can resonate and above I have shown that the medium does not need to be contained to resonate and create maxima. Everyday examples in water and air show how open systems of mediums of homogenous density CAN resonate and can produce nodes of maxima. What I find amusing is I can tell from your posts that you know that a constrained medium CAN resonate in the same way as a constrained object like a string can resonate. Certainly. Yet you realize that by admitting this truism you have to admit that David is wrong in saying that only I haven't seen David's posts and I am no concerned who is right or wrong, I am trying to help by clarifying the terminology, not commenting on your ideas. an object or single particle can resonate and the uncomfortable truth you face is to admit that a concept of a wave only atom as a point like node of superimposed waves in a medium like an aether has observable analogies in everyday life. Sure, but just waves in a medium on their own would simply disperse. Yes but hopefullly I have shown that in an infinite open system there is always wave energy arriving and that in an open system resonance can occur with maxima. In a `violin in air` situation the air within the frame also resonates and this amplifies and feeds back into the whole system so it is technically the string ,bridge, frame and air within the cavity that resonate. Yes the string I am sure would still vibrate in a vacuum. And if the body were also removed yes the string itself would also vibrate . So the conclusion is that a system of one or many parts can resonate . And ifone were to remove the string and hum into a violin frame containing air the air would resonate and in turn the frame would resonate sympathetically and the two together as a system would vibrate or resonate. What we end up with is the fact that resonance is exhibited by mediums such as air and objects such as wood and metal contrary to Davids belief that gas air etc and water cannot resonate Finally we have no conclusive proof that a vacuum be it aether or QT does or does not resonate in this above situation .Its just we have yet to measure it. In the violin, the vibration of the string is coupled to the body where there are further quite separate resonances in the panels as you described earlier. (See "Chladni patterns" he http://www.phys.unsw.edu.au/~jw/strings.html ) Those patterns move the air and that can excite a further resonance formed by the air inside the body. That is called a Helmholtz Resonance and is again defined by the cavity. Of course no air, no resonance in this case, but for the string, bridge and fret resonance, putting the violin in a vacuum chamber would actually increase the Q of the resonance since a large part of the power lost from the string goes into moving the air via the mechanical linkages to make the sound we hear. You certainly eliminate the Helmholtz resonance but the others are still present though they are now damped. This reduces the Q in contrast to operation in a vacuum which increases the Q. And because the air doesnt resonate their are less sympathetic resonations in the wood casing of the instrument. If you ever get the opportunity, try this experiment with a stringed instrument. I have. In other words David is completely wrong in saying that a single particle or object vibrating is the only manifestation of resonance. If that is what he said, he is wrong (e.g. plantary orbital resonances). If you said you can get resonance with waves in a medium but nothing else then you are also wrong. Is this an agreement that a medium can resonate and do you agree that a medium can resonate in an open system. as I have shown above? Your second point doesnt make sense in grammatical terms. What do you mean by "..but nothing else.." in the sentence above? Sean |
#53
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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
"George Dishman" wrote in message ...
"sean" wrote in message om... "George Dishman" wrote in message ... Right, now this is a pattern produced by flexing of the plate or by interference of sound travelling through the plate and being reflected from the boundary. Clearly the medium is essential, no plate, no resonance. Hi George I think whole system is elastic and on very short time scales, parts of the `medium` resonate before parts of the container do. In a violin it is the string then the `air and violin case` . The string also vibrates the air as well as the frame and it almost could be said that the air first begins to vibrate within the frame and it then sets off sympathetic vibrations within the wooden frame which You could say that but you would be wrong. The string does not couple to the air directly because it is thin and cuts through the air instead of moving it. Try bowing an electric guitar with no amp. The string moves the bridge and the soundpost and bass bar transmit the motion to the bulk of the panels. It is the large surface area of the panels that moves the air like a piston. Hi George THats not true George. If you were right then a rubber band stretched between your fingers and plucked would be inaudible but both of us know that it is indeed audible . The only way to hear the band is by the air vibrating the air about your ear. So in fact the string resonates the case AND the air and in turn to lesser or greater degrees each sympathetically induces further vibrations in the other. If you stopped reading books and watching the world around you you would understand physics better http://www.phys.unsw.edu.au/~jw/violintro.html#bridge then feeds back into the air and string but mostly the energy from all 3 dissapates to the concert hall and in turn to the structure , which then disappates some back to the air and some to the outside or foundations etc... In different situations I think diofferent parts of the system resonate firstbut remember this started out as my response to davids claim that a medium could not exhibit resonance! The sad thing is that even if you agree with me that he is wrong on that point I don't. There you go George you say just for the sake of it that you dont agree with me yet later on you admit that a medium like air IS part of a resonating system and I supply you with your own quotes to back this up. So you contradict yourself when you say that you Do agree with him that a medium cannot resonate within a system. Make up your mind, can a medium within a system be said to exhibit resonance? Bexcause if you say that NO a medium in a system cannot be said to exhibit resonace then you immediately contradict yourself with the quotes later reproduced in this post . One being that if one removes the air or medium from a resonating system then the remaining part of the system experiences an increase in amplituide or stored energy or Q or whatever particular term you wish to call it . And the Q could only increase in the remaining part of the system if it had only been present in the air/medium before it had been removed. I think actually George it is you who must learn what resonance is as you seem to constantly offer opposing views of what it is. he will still continue to post that a medium cannot resonate. He doesnt seem to listen and learn. I have said I don't agree with you several times. I have also given you several examples of resonance in systems without waves. If you listen and think about those, you may learn what the word "resonance" means. How about we stick to this short definition: Resonance is `when a vibrating system responds in amplitude with an alternate driving force where the two frequencies are similar. ` So for instance, if two vibrating sources in an open water tank as I described earlier set up nodes of maxima patterns. (which are what you call interfernce yet still can be said to be stationary maxima or ` a vibrating system` or stored energy)If a third vibrating source is added to create a triangle of 3 sources then the maxima pattern changes and one would get a different pattern of nodes instead of bands and the central part of the vibrating medium now or central maxima has increased amplitude. Now that is a definition of resonance according to the textbook definition. I have a vibrating system,the water in between the two sources that has staionary maxima between the two sources .And then I add a new driving force of similar wavelength and the maxima, still stationary, now have their amplitude increased. That is all within the textbook definition. I think you are being dogmatic by saying a medium cannot` resonate `. Yet there is no restriction I have read in textbook definitions of resonance that say only solid objects like wood or metal can resonate. The only prerequisite is that the system has to be vibrating, and the word system does not exclude a medium like air or water You are being dogmatic in saying that only a vibrating string contained at either end that has additional energy input and has its amplitude increased can be said to resonate and yet, When water in a vibrating container has the vibrations increased in amplitude those maxima within the water increase. That is to me a vibrating system that responds with an increased amplitude to additional driving force. The only difference I can see is that the strings `resonance` has a longer sustain then the water in the tank. For instance if I vibrate the tank the nodes appear and when I stop the vibrations they will disappear very rapidly probably within a second whereas the string will sustain for a few seconds although it must be said that the water when the outside vibration source stops probably still has a sustain of those nodes its just that they become too small to see with our eyes. And if you consider a string that is vibrating and then continuously plucked that string continues exhibiting resonance. But surely when a container of water is continuosuly vibrated , each shake is essentially the same as each pluck of the string in that it is a series of additional driving forces and the result is a continously vibrating container of water . That water is exhibiting resonance becuase the waves contained within the system have their amplitudes continuosly added to by additional driving forces of similar wavelength which in turn sustains the amplitude of the stationary nodes. And if a different frequency of vibrations was introduced those particular nodes would disapeear as they did not have the defining "additional driving force of similar wavelength " They are raised humps of sand each in static position and each hump or node is centerd about 1 point on the plate yet each node is not a distinct object with a distinct edge. Furthermore you can even manipulate these nodes and move them by touching the plate with your finger.These nodes ARE the equivelent of what I call wave only atoms in a medium. Furthermore these nodes are what you call the exhibition of resonance. No, that is the subtlety. You can get node by reflecting a moving wave of a mirror but that is not resonance, just two wave phenomena, reflection and interference. The single mirror doesn't store energy while your vibrating plate could. Yet each node is not an object but a standing wave focused at a point like location in space. Nodes are actually points where the waves cancel. That minor point aside, note that the nodes are produced by superposition of two waves that are moving in opposite directions. Without something to reflect them back and localise the energy, you just have two overlapping waves, not resonance. This is an interesting point as it refers to the part of my argument that follows on from the acceptance that a medium can be said to exhibit resonance and that a wave only atom in a classical model would be described as a node in a medium. This model would have that atom in a infinite universe and I think you even refered earlier that although you could accept the concept of a analogy of the wave only atom in a contained sysetm it breaks down in an open infinite universe system. But does it? If we can agree that in a closed system a medium can resonate and that medium can have maxima nodes that can be compared to atoms in a wave only classical model then I would just have to show how a node in a resonating medium could occur in an open system. there are two points to support this. First of all one prerequisite of the closed system is that like a gas in a chamber the medium has to be of homogenous density or pressure and you would argue taht an open universe would in a sense because it would not be `contained` it wouyld lose pressure etc. My argument would be that in an infinite universe as long as the density is homogenous in all parts of this infinite universe the density at any one point is constant or average. OK. In fact any change in homogeneity could act as a boundary. Therefore one important prerequisite for a resonating infinite medium is met. Secondly I thought about it and actually a medium can resonateand standing nodes of maxima CAN occur in our observable world in water or etc in open uncontained systems . This can be done simply by having 2 identical energy sources creating waves and at the point or in the region between the two sources there are standing waves produced | | | A | | | B | | | Above A and B are vibrating sources in an open uncontained medium and the vertical lines denote maxima where overlapping waves create standing waves . This is _interference_, not _resonance_! For resonance you must be able to store the energy _after_ the driving force has gone. Please try to understand what the word means. The interference pattern exists only as long as the sources remain active. That is such a load of nonsense George. That is physically impossible for those maxima to instantly disapear and if you believe that then you believe in magic. Those maxima or nodes will disapear but within a short time frame as the energy disapates to the surrounding air, just as a string stops vibrating over a slightly longer but still short time frame of maybe a second or two . I bet if one took high speed photography of my above illustration one could actually see the water maxima decay over a few hundreths of a second maybe even a tenth of a second. Do you really seriuosly believe that the maxima disapear instantaneously with no decay? Show me the experimental proof that a system as I propose defies conservation of energy and actually some energy according to you `disapears instantaneously` from our universe. This is seen in water tanks etc experiments and shows how classical waves can resonate in an open system and create maxima (in this case bands rather than nodes) So theoretically in a open infinite universe the aethger medium could resonate and nodes of maxima would be possible. Nodes and antinodes occur due to interference. Yes,Nodes and antinodes are seen in interference patterns . But if you read a textbook definition they are also said to occur in standing waves. And is not a string vibrating in essence a standing wave? A vibrating string is where the wave energy travelling down the string is reflected back at the boundary, the guitar bridge, and is superimposed on the incident wave creating a staionary node in the midle of the string with the standing wave as having the same length as the length of the confined string. And finally how to account for the sources A and B in a infinite classical universe? If the universe is infinite and of homogenous density aether, wave energy of all wavelengths travels across any point from all directions at any time . So at any point in this universe a situation that duplicates the above illustration can occur where the overlapping wavefronts cancel out as in a closed system and create maxima. As the similar wavefronts come from all directions and not just the two as in the above illustration instead of bands of maxima one gets nodes. In otther words this is how a wave only atom can be explained in a infinite universe using examples of resonating open systems of mediums already observed in our world. The medium in which these nodes appear is not one object but can consist of air, gas, water sand etc. It isnt then the cavity that resonates but the medium within the cavity that resonates No, it is the combination. That's why I emphasise it is a system not just the medium. For example your plate would not resonate if ^^^^^^^^^^^^^^^^^^^ it were infinite in size, it is the boundaries that create the resonance. Here you do admit that a medium can resonate I suggest you read it more carefully again, I said exactly the opposite. You speak in riddles and contradictions. What is the opposite of me saying a medium can resonate? Answer: You say It CANT resonate... I assume thats what you mean by "the opposite". Then you suggest that a medium CAN resonate, within a system, by saying "no its a combination". Ah,! a contradiction . You just said a medium cant resonate and then you suggest it can . Maybe what you mean to say is that a medium can resonate within a contained system? Is that what you mean by " no its the combination" ? and above I have shown that the medium does not need to be contained to resonate and create maxima. Everyday examples in water and air show how open systems of mediums of homogenous density CAN resonate and can produce nodes of maxima. They are examples of interference, not resonance. What I find amusing is I can tell from your posts that you know that a constrained medium CAN resonate in the same way as a constrained object like a string can resonate. Certainly. Yet you realize that by admitting this truism you have to admit that David is wrong in saying that only I haven't seen David's posts and I am no concerned who is right or wrong, I am trying to help by clarifying the terminology, not commenting on your ideas. an object or single particle can resonate and the uncomfortable truth you face is to admit that a concept of a wave only atom as a point like node of superimposed waves in a medium like an aether has observable analogies in everyday life. Sure, but just waves in a medium on their own would simply disperse. Yes but hopefullly I have shown that in an infinite open system there is always wave energy arriving and that in an open system resonance can occur with maxima. Resonance does not mean maxima and you have not deemonstrated how energy can be stored on a small fixed region using only an infinite and homogenous medium. Where did I ever say that Resonance is just maxima? That doesnt even make sense. Its kind of like me describing an orange and you saying "NO ,you are wromg an orange isnt just orange".. Resonance does not just mean maxima but maxima can be seen in a resonating system. The central point of a vibrating string is a maxima where the displacement of string mass is greatest. And in a pendulum the maximum displacement and therefore stored energy is in the end weight of the pendulum. Is that not a node or maxima in both central point of a guitar string and end weight of a pendulum? Regarding whether or not a infinite medium can store energy in a fixed point like a node how about this: Two vibrating sources of energy A and B are infinitely far apart and have been vibrating at the same frequency for infinity and their two wavefronts approach and overlap as follows A | | | | | | | | | | | | | | | | | | | | | | B This duplicates the earlier diagram where the two sources are a finite distance apart and as long as the two sources have been vibrating infinitely then when they do reach and overlap a series of standing waves or maxima nodes occur exactly as in the finite example. And these nodes will remain in the same spot and retain the same amplitude as long as A and B have not moved. And finally viewed up close at one maxima the maxima can be said to be duplicating in all respects the same conditions and appearances as a similar maxima within a finite container where the additinal driving force on that container is exerted continuosly and is said to be a resonating system. In a `violin in air` situation the air within the frame also resonates and this amplifies and feeds back into the whole system so it is technically the string ,bridge, frame and air within the cavity that resonate. No, technically there are several independent resonators that are coupled mechanically. How petty. Thats just another way of phrasing my description. Thats like me saying..."putting a plug into the drain will prevent the bath from emptying".... and then you saying.." No, technically a stopcap is coupled manually with the outflow port of a water system to prevent leakage" Yes the string I am sure would still vibrate in a vacuum. And if the body were also removed yes the string itself would also vibrate . So the conclusion is that a system of one or many parts can resonate . Right, but remove the bridge and it wont. The string must be held in tension, it must be fairly free to move over most of its length but has to be clamped at the ends to reflect the wave. All those are required for it to contain the energy of the vibration. Of course this is true. What I was suggesting that if the string were clamped or held rigid but the body were removed so as to remove vibrations from a closed or semi closed wooden frame from the system. Sort of like stretching a rubber band between your fingers.Effectively your fingers are not part of the resonating system except that they contain the rubber band. The fact is, remove the clamps the string would flop down to the floor of the room or whatever and it would be impossible to input a energy to the string in the first place and I never suggested that a medium or object could resonate without any input energy. A medium /object will also only resonate (or vibrate and give stationary nodes) if there is energy input and the medium/object density remains the same . For instance a bell will resonate even if is floating in air by being thrown as long as the bells density remains the same and if it were possible to continually strike it with the same input driving force while mid air its resonance would not decay.In an infinite universe the density can remain the same and the energy input can remain constant as I have explained earlier and therefore a uncontained medium like aether could exhibit resonance as nodes of energy And ifone were to remove the string and hum into a violin frame containing air the air would resonate Helmholtz Resonance as I said. and in turn the frame would resonate sympathetically Chladni patterns as I said. and the two together as a system would vibrate or resonate. What we end up with is the fact that resonance is exhibited by mediums such as air and objects such as wood and metal contrary to Davids belief that gas air etc and water cannot resonate Finally we have no conclusive proof that a vacuum be it aether or QT does or does not resonate in this above situation .Its just we have yet to measure it. In the violin, the vibration of the string is coupled to the body where there are further quite separate resonances in the panels as you described earlier. (See "Chladni patterns" he http://www.phys.unsw.edu.au/~jw/strings.html ) Those patterns move the air and that can excite a further resonance formed by the air inside the body. That is called a Helmholtz Resonance and is again defined by the cavity. Of course no air, no resonance in this case, but for the string, bridge and fret resonance, putting the violin in a vacuum chamber would actually increase the Q of the resonance since a large part of the power lost from the string goes into moving the air via the mechanical linkages to make the sound we hear. You certainly eliminate the Helmholtz resonance but the others are still present though they are now damped. This reduces the Q in contrast to operation in a vacuum which increases the Q. And because the air doesnt resonate their are less sympathetic resonations in the wood casing of the instrument. If you ever get the opportunity, try this experiment with a stringed instrument. I have. In other words David is completely wrong in saying that a single particle or object vibrating is the only manifestation of resonance. If that is what he said, he is wrong (e.g. plantary orbital resonances). If you said you can get resonance with waves in a medium but nothing else then you are also wrong. Is this an agreement that a medium can resonate and do you agree that a medium can resonate in an open system. as I have shown above? You have shown you can get interference in an unbounded medium which was never in dispute. You still seem not to be listening to what the word "resonance" means. All the arguments you have oferred are applicable to interference, not resonance. Forget about waves for a moment and consider how a mass and spring system or a pendulum can be resonant. I have already answered this but I will again but if you dont mind I will stick to my one textbook definition of resonance as yours seems to change depending on the point you are arguing... `Resonance is where the amplitude of a vibrating system responds to an additional driving force of similar frequency.` Hence... a medium in this case is constrained and vibrating and contains energy stored as maxima minima where the reflected waves of the enrgy in the medium overlap and superimpose. Or.. a string constrained is vibrating and the energy is stored as maxima and minima in the string where the reflected waves of the energy in the string overlap and superimpose. Next,... An additional driving force of similar frequency is exerted on the medium and the amplitude/energy of the maxima and minima is increased or sustained Or,...An additional driving force of similar frequency is exerted on the string and the amplitude/energy of the maxima and minima is increased or sustained In experiment each continued shake of the container sustains the resonance of the system of the container and the medium and in the case of the string each additional pluck of the string sustains the resonance of system being the string and the clamped frame that holds it Your second point doesnt make sense in grammatical terms. What do you mean by "..but nothing else.." in the sentence above? I meant with nothing to refect the waves back so they can be contained in one area thus storing energy. George That means You said. quote ...."If you said you can get resonance with waves in a medium but nothing else then you are also wrong."..unquote. In response to me saying..."In other words David is completely wrong in saying that a single particle or object vibrating is the only manifestation of resonance."... Note that my line you responded to (obliquely and with intent to obfuscate) actually wasnt saying that a medium uncontained could resonate but that David was wrong to assume that a medium vibrating in a container was not exhibiting resonance. Yet you knew that if you responded directly to my point you couldnt say that David was right in saying that a medium in a system wasnt resonating because even above you admit that a system with a medium and a container can be said to resonate. So to avoid the embarrasment of having to admit David is wrong to think a medium in a system cannot resonate you instead fabricate the untruth that I was always insisting that only a medium without a container could resonate . Thats absolutely untrue as initially my point to David was quite clearly that a medium in a container could be said to resonate. And I know what your response will be to this will be . You will say something contradictory that implicitly agrees with me yet tries to make it seem you dont agree as in one of your below quotes previously.. GD.. "No, it is the combination. That's why I emphasise it is a system not just the medium. "... (Sean..goodness that sounds like you admit a medium constrained can resonate) GD..""If you said you can get resonance with waves in a medium but nothing else then you are also wrong."... (Sean ..there you go again, the implication in that statement is that with nothing else, ie no container , there can be no resonace which implies that with a container the medium and the system can resonate) GD.."Of course no air, no resonance in this case, but for the string, bridge and fret resonance, putting the violin in a vacuum chamber would actually increase the Q of the resonance since a large part of the power lost from the string goes into moving the air via the mechanical linkages to make the sound we hear."... ( Sean.. there you go again suggesting that in a vacuum without the air to `absorb` or hold some of the resonant energy the energy amplitude has to increase in the remaining parts of the system. Implicit in your statement is then the assumption that with air in the system the energy stored is less in the other parts of the system and therefore the only conclusion is that if the air stores some of the energy and it is part of the resonating system then a medium can be part of a resonating system which according to David is not possible) |
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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
Dear Sergey Karavashkin:
"Sergey Karavashkin" wrote in message om... TO ALL COLLEAGUES: Dear Colleagues, I always wonder, how do you confuse yourself by substituting the statement of problem by the desirable model. What concern RC-oscillator has here? The wave model of photoeffect is based on Stop there. RC circuit has what for a frequency threshold? As frequency is increased, what does the amplitude in an RC circuit do? What is the resonant frequency of an RC circuit? There is no parallel. David A. Smith |
#56
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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
\(formerly\)" dlzc1.cox@net wrote in message news:z1t6b.46391$Qy4.38651@fed1read05...
Dear Sergey Karavashkin: "Sergey Karavashkin" wrote in message om... TO ALL COLLEAGUES: Dear Colleagues, I always wonder, how do you confuse yourself by substituting the statement of problem by the desirable model. What concern RC-oscillator has here? The wave model of photoeffect is based on Stop there. RC circuit has what for a frequency threshold? As frequency is increased, what does the amplitude in an RC circuit do? What is the resonant frequency of an RC circuit? What can you report us of a role a feedback in generators of auto-oscillations? There is no parallel. Once again, what can you report us of a role a feedback in generators of auto-oscillations? Aleksandr |
#57
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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
Dear Aleksandr Timofeev:
"Aleksandr Timofeev" wrote in message om... \(formerly\)" dlzc1.cox@net wrote in message news:z1t6b.46391$Qy4.38651@fed1read05... Dear Sergey Karavashkin: "Sergey Karavashkin" wrote in message om... TO ALL COLLEAGUES: Dear Colleagues, I always wonder, how do you confuse yourself by substituting the statement of problem by the desirable model. What concern RC-oscillator has here? The wave model of photoeffect is based on Stop there. RC circuit has what for a frequency threshold? As frequency is increased, what does the amplitude in an RC circuit do? What is the resonant frequency of an RC circuit? What can you report us of a role a feedback in generators of auto-oscillations? There is no parallel. Once again, what can you report us of a role a feedback in generators of auto-oscillations? One photon, one electron. What feedback is required? In the photoelectric effect, none is required. It isn't some form of standing wave. Resonance requires in-phase displacement and acceleration. The inductor acts as one (di/dt), and the capacitance as the other (integral[i.dt]) in phase space. Offloading the inductance to "the Universe" is well and good, but leaves you with no adequate momentum storage term. The electron in the photoelectric effect isn't really moving, unless it has been freed of the surface, and it is then no longer feeding back. There is no parallel. David A. Smith |
#58
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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
"Aleksandr Timofeev" wrote in message om... "George Dishman" wrote in message ... "Aleksandr Timofeev" wrote in message om... By the way. What devices are indispensable for the generator(oscillator) of auto-oscillations? No device is indispensable. You need a power source, gain and feedback as Bjacoby said but there are many ways to achieve those. You have forgotten about nonlinearity, which one in actual devices is the transformer of energy in energy of oscillations. I am not quite sure what you mean here Aleksandr. In the RC oscillator we talked about before for example, there is no non-linear element used for coupling. You have forgotten about nonlinearity, which one in actual devices restricts a vibration amplitude or power. Certainly some form of ALC is important in practice but it is not essential from a theoretical point of view which is how I answered. If the gain is greater than one, the oscillation amplitude will grow exponentially. If you want to look at these in real life, it is also quite common to use linear elements such as the crude example of a thermistor to stabilise the signal level. As long as the oscillator frequency is much higher than the thermal time constant, there is negligible non-linearity in the electrical response (but yes I am aware that there is always some non- linearity). Aleksandr, all that aside, I am trying to explain to Sean the difference between resonance and interference, not pass an exam in practical electronics. Do you really think these questions are helping him? For a resonance is indispensable: - power source; A pendulum is resonant but contains no power source. If we shall eliminate transients viewing, the source of oscillations is indispensable for observation of oscillations in resonant system. If a source of oscillations, which one has frequency close to frequency of resonant system, misses, the oscillations in resonant system CAN NOT BE WATCHED. Ah you mean a signal source, not a power source. I thought you meant like the power supply needed for the RC oscillator. Yes, the phenomenon of resonance is an interaction between a signal source and a system capable of oscillation, but that resonant system can itself be passive. - nonlinear transformer of energy; A RLC circuit is linear and resonant. If there is an inflow of energy, then there are oscillations. If there is no inflow of energy, then the oscillations miss. This "RLC circuit" is linear in a narrow gamut of hooked up power. If the hooked up power will exceed electric strength of "linear RLC circuit", that one will become "nonlinear RLC circuit"... ;-) Yes, "nonlinear" in the sense of "non-functioning"! ;-) - a source of a reference frequency; A resonant system usually defines its own charateristic frequency without an external reference. " A resonant system usually defines its own charateristic frequency " in a narrow gamut of hooked up power. ;-) For an LC circuit, the resonant frequency is 1/sqrt(LC) and it is passive. - an energy absorber. There is always loss in any real system but it is not a needed for resonance. THE SYSTEM ABSORBS maximum POWER AT a RESONANCE. ************************************************** **************** THE MAXIMUM of ABSORBED POWER by system is ESSENCE of a resonance. ************************************************** **************** The vibration amplitude has minor value. In theory a pure LC circuit absorbs no power. However, I checked my text book and it says "Resonance, defined here to occur at the frequency at which forced oscillations have their maximum amplitude, may be defined in other ways as, for example, at the frequency at which maximum power is transferred from the driving unit to the oscillating system or at which the speed of the oscillating mass is a maximum." Further we shall consider classic QUADRIPOLES from the theory of electric circuits, then my point of view on a resonance will become more clear to you. Contrary to your interpretation, the PHENOMENON of a RESONANCE is ABSORPTION of energy of oscillations by an only PURE RESISTANCE. That would make every resistor connected to an AC supply a resonant system. It is an ingenious guess. If the wave length of hooked up alternating stress is more than the maximum geometrical size of the resistor, then the resistor is in "resonance". I would have said that "in resonance" meant the power line frequency was the same as the self-resonant frequency of the resistor due to lead inductance and parasitic capacitance. However, what I meant was that, for an RLC circuit, if the Q is less than 0.5 the circuit is over-damped and will not oscillate. I think it is stretching the definition of resonance if you include power absorbtion by a load that cannot oscillate. Other than that I would agree with you. George |
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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
Dear George Dishman:
"George Dishman" wrote in message ... "Aleksandr Timofeev" wrote in message om... .... If we shall eliminate transients viewing, the source of oscillations is indispensable for observation of oscillations in resonant system. If a source of oscillations, which one has frequency close to frequency of resonant system, misses, the oscillations in resonant system CAN NOT BE WATCHED. Ah you mean a signal source, not a power source. I thought you meant like the power supply needed for the RC oscillator. Yes, the phenomenon of resonance is an interaction between a signal source and a system capable of oscillation, but that resonant system can itself be passive. George, would you say that photons that couple the source to the system in only one direction provide sufficient "interaction" for an RC based oscillator? If you put a diode between the power supply and the RC circuit, can you still get resonant behaviour? David A. Smith |
#60
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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
(formerly)" dlzc1.cox@net wrote in message news:9o87b.47469$Qy4.20923@fed1read05... Dear George Dishman: "George Dishman" wrote in message ... "Aleksandr Timofeev" wrote in message om... ... If we shall eliminate transients viewing, the source of oscillations is indispensable for observation of oscillations in resonant system. If a source of oscillations, which one has frequency close to frequency of resonant system, misses, the oscillations in resonant system CAN NOT BE WATCHED. Ah you mean a signal source, not a power source. I thought you meant like the power supply needed for the RC oscillator. Yes, the phenomenon of resonance is an interaction between a signal source and a system capable of oscillation, but that resonant system can itself be passive. George, would you say that photons that couple the source to the system in only one direction provide sufficient "interaction" for an RC based oscillator? Sorry David, I'm not sure what you mean. By an RC oscillator I mean a discrete circuit built from electrical components. Photons would let you see the PCB and the components but that's all. If you put a diode between the power supply and the RC circuit, can you still get resonant behaviour? The supply would be DC so if the positive goes to the anode the circuit would work as usual but if it goes to the cathode there would be no power to the circuit and it just wouldn't work. I think you may be referring back to an earlier part of the thread that I missed. George |
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