Wave Shapes

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xmo1

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Why do (sinusoidal) waves look parabolic rather than circular?<br /><br />Would I be correct in saying potential energy has zero frequency? <div class="Discussion_UserSignature"> <p>DenniSys.com</p> </div>
 
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harmonicaman

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The study of periodic harmonic vibrations is my particular field of interest!<br /><br />Here's some wave stuff:<br /><br />Wave motion.<br /> Sinusoidal wave lesson.<br /><br />The amplitude of a wave is related to the energy it is transporting. <b>Sinusoidal</b> merely means that the wave has a periodic motion which can be expressed by the equation y = sin x, where x is degrees and y is the energy level. A sinusoidal wave may have a circular form as a special case. <br /><br /><i>"Would I be correct in saying potential energy has zero frequency?"</i><br /><br />I believe the potential energy still has "Potential" frequency, but zero momentum.<br /><br />(Somebody please correct me if I'm wrong here!)
 
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yevaud

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I just posted this a day or so ago.<br /><br />Resonance Experiment <div class="Discussion_UserSignature"> <p><em>Differential Diagnosis:  </em>"<strong><em>I am both amused and annoyed that you think I should be less stubborn than you are</em></strong>."<br /> </p> </div>
 
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harmonicaman

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<b>Yevaud -</b><br /><br />I didn't see that post, very nice! I use an adjustable pitch tuning fork and a pie plate to create similar effects on a much smaller scale -- nowhere near the sophistication of the example in that video (I need to get me one of those...).<br /><br />I also have a 3 foot long homemade aluminum tuning fork; when I press it onto a block of dry ice it makes some very interesting auditory vibrations. <br /><br />Here are some examples of my harmonographic vibration figures. <br /><br />I've recently figured out a few different methods for creating some really spectacular stereoptic vibration figures viewable in 3D by using either red/blue anaglyphic glasses or a stereoscope (similar to a Viewmaster 3D slide viewer). Of course, I had to get myself a really fancy $2,000 Topcon Mirror Stereoscope to view the 3D drawings myself; I was using the archaic cross-your-eyes method, but this was giving me headaches... <img src="/images/icons/rolleyes.gif" /><br /><br />I'll put some of my 3D drawings online soon (both the anaglyphs and the stereoptic viewer examples) but I need to work out a few minor technical issues first...
 
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xmo1

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Waves are created by a disturbance? Can waves exist without a disturbance? Is there a name for disturbance?<br /><br />The more I learn about this the less I understand. A water wave: I see the wave moving in the water. I see things in the water bobbing up and down. The water itself doesn't seem to be going anywhere. It is just bobbing up and down. So it is a wave that is moving? What <is /> that? Is it a force; energy, like lightening, or gravity? What is it? Oh God! It's invisible. I'm scared. See what I mean. I have got to know the answers.<br /><br />The patterns on the plate seemed to shift very quickly at times. I don't know if it was someone cutting frames out of the movie, but there seemed to be phase transitions. Is that true? Were there phase transitions?<br /><br />Makes me wonder what affects waves can have on the basic elements and on some of the products about the home, or some of the more exotic materials being invented.<br /><br />I can see why you are interested in this subject. <div class="Discussion_UserSignature"> <p>DenniSys.com</p> </div>
 
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siarad

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<blockquote><font class="small">In reply to:</font><hr /><p>Makes me wonder what affects waves can have on the basic elements and on some of the products about the home<p><hr /></p></p></blockquote><br />Katherine Jenkins, a local mezzo soprano, broke part of a chandelier when singing in Swansea guild hall.
 
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xmo1

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Hello siarad:<br /><br />Getting things to line up in a pattern is a useful technology. Combine that with things that attract and repel, and with things that bind and you have a fairly good toolbox for inventing new materials.<br /><br />I have seen kidney stones being turned into dust using sound waves, and of course microwaves and infrared heats things up. Nothing new there.<br /><br />Phase transition and force at a distance have always interested me. The resonance experiment makes both of those properties visible. <div class="Discussion_UserSignature"> <p>DenniSys.com</p> </div>
 
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nexium

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My small knowledge of mechanical oscillations is limited to a bit here and there. I value your opinion about the oscillations = transients on the proposed space elevator which will be about 100,000 kilometers, one or two meters wide at geo altitude = 36,000 kilometers and perhaps one milimeter thick at Geo altitude where the tension will be thousands of tons. The ribbon is thinner and narrower near the ends = tapered. There is a one thousand tons (plus) counter weight at an altitude of about 100,000 kilometers and the anchor ship pulls down on the tether with an average tension of about 20 tons. ie how many days does it take increased tension at the anchor ship to be detected at 100,000 kilometers altitude? It is hoped that the ribbon can be 95% CNT = carbon nano tubes with about 5% binder. CNT is thought to be very elastic, so the ribbon may behave like an extremely long bungie cord. Keep in mind that Earth's gravity decreases as the square of the distance = 1/4 g at an altitude of about 6000 kilometers, and the entire ribbon circles the Earth each 24 hours. Neil
 
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harmonicaman

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<i>"The patterns on the plate seemed to shift very quickly at times. I don't know if it was someone cutting frames out of the movie, but there seemed to be phase transitions. Is that true? Were there phase transitions?"</i><br /><br />Not "Phase Transitions"! In physics, the term "Phase Transition" is used to indicate a transformation of a substance between the solid, liquid, and gaseous state due to the thermodynamic effect of changes in temperature and/or pressure. <br /><br />What you observe in the <i>Chladni plate</i> experiment is a sympathetic vibration of the plate when the pitch of the sound wave matched the natural resonating frequency of the plate. <br /><br />The salt then tends to gravitate towards the nodes of the vibrating plate, (areas of the least movement) and away from the areas of greatest vibratory amplitude (the anti-nodes).<br /><br />Since the plate can only vibrate at it's own natural frequency, or a natural harmonic of that frequency; the salt only moves into a new pattern when the sound vibration matches a natural harmonic of the plate's natural frequency -- and as you observed, the change can occur quite rapidly. <br /><br />Tacoma Narrows Bridge; a harmonic vibration engineering disaster.
 
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xmo1

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So the outcome varies with the resonant frequencies of the medium. The medium could be a recipe of any number of ingredients with the wave fronts emanating from multiple points in order to create the desired map through 3D space. I seen a sculpter work with mathematical formulas.<br /><br />It is a neat way to look at forming objects mapped by sound waves at a distance. <div class="Discussion_UserSignature"> <p>DenniSys.com</p> </div>
 
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