Tag Archives: Wave Equation

Fourier… 4

Note:  This is not really a strict mathematical discussion, but a quasi-math. My post about Fourier thing got a nice interesting comment about a week ago, which reminded me that I have not settled the theme yet, and that I … Continue reading

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Fourier… 3

Fourier again. A few years ago, I was with some students to read a textbook about audio engineering.  I did not like the book in a few ways.  One of the reasons is about treatment of wave equation. 1D wave … Continue reading

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speed of what (2)

Again this is about elastic wave.  Let me resume from this: The previous point is that the equation of motion above does not look very similar to simple wave equations we see for string vibration, plane wave of sound etc. … Continue reading

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speed… of what (1)

Of elastic wave… To an elastic body, if the body is isotropic and homogeneous, and if deformation of the body is small, the theory of linear elasticity is applicable.  Assuming no external force drives deformation of the body, the equation … Continue reading

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speed… of what (0)

I conducted some measurements about elastic wave speed.  They are expected to be ground truth against which my finite element code is tested. Here I have got an ultrasonic transducer (bolted-Langevin type). Cylindrical shape (length: 65mm, radius: 10mm).  The first … Continue reading

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Sound… of what

Striking a metal rod can create sound. How the rod emits sounds may depend on various factors, such as the way the rod is supported, material used to hit the rod, etc. But carefully listening to the sound we notice … Continue reading

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