Would you make a version with radial vibrations of an inflated ball (or soap bubble...), i. e in spherical coordinates with vibrations along r? I know it leads to spherical harmonics but I always mess up the equations...
Sorry for the delayed response, but I somehow missed this until now... The condition β*β > α*α physically implies that the spatial frequency components must be real and non-zero to ensure wave-like behavior across the membrane. If this were not true, we would get exponential growth or decay rather than wave patterns.
Nice explanation…This would be neat to see solved numerically like the previous pendulum and harmonic oscillator videos.
Thank you. Looking forward to plate vibration.
thank you for this
thank you
Please make something on relavity
excellent
Is it possible for you to start a lecture series on Homogenization theory and Classical Laminate Theory?
This is somewhat outside the scope of this material. I will eventually get to composite materials, but might take me a while.
good content, thank you
Thanks!
Would you make a version with radial vibrations of an inflated ball (or soap bubble...), i. e in spherical coordinates with vibrations along r? I know it leads to spherical harmonics but I always mess up the equations...
Will add this to my To Do list.
Why Beta square is assumed bigger than alpha square ?
Sorry for the delayed response, but I somehow missed this until now...
The condition β*β > α*α physically implies that the spatial frequency components must be real and non-zero to ensure wave-like behavior across the membrane. If this were not true, we would get exponential growth or decay rather than wave patterns.