Timeline for Solutions to the wave equation on non orientable surfaces like a mobius strip
Current License: CC BY-SA 2.5
14 events
| when toggle format | what | by | license | comment | |
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| Jun 25, 2010 at 14:43 | history | edited | sigoldberg1 | CC BY-SA 2.5 |
added 26 characters in body; edited tags
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| Jun 24, 2010 at 1:22 | vote | accept | sigoldberg1 | ||
| Jun 24, 2010 at 1:19 | vote | accept | sigoldberg1 | ||
| Jun 24, 2010 at 1:22 | |||||
| Jun 23, 2010 at 16:40 | answer | added | S. Carnahan♦ | timeline score: 6 | |
| Jun 23, 2010 at 15:05 | vote | accept | sigoldberg1 | ||
| Jun 24, 2010 at 1:19 | |||||
| Jun 23, 2010 at 11:31 | comment | added | Willie Wong | @Steve: somehow I interpret the question the OP asked to be solving the wave equation on $M\times \mathbb{R}$, where $M$ is the Mobius strip, as opposed to solving the wave equation for a non-time-orientable metric on $M$. | |
| Jun 23, 2010 at 7:24 | answer | added | David Bar Moshe | timeline score: 4 | |
| Jun 23, 2010 at 1:36 | comment | added | sigoldberg1 | Then, a second set of boundry conditions of interest is where two sinusoidal forces are applied at two points P1 = (theta, width) = (0,1/2) and P2 = (0,-1/2), with the forces entirely out of phase (by a factor of pi), to generate a sort of rocking motion at theta = 0 | |
| Jun 23, 2010 at 1:24 | comment | added | sigoldberg1 | Force is harmonic (sinusoidal), to be applied normal to the surface. | |
| Jun 23, 2010 at 1:19 | comment | added | sigoldberg1 | I guess to more specifically respond, the boundary conditions are free, with forcing at theta = 0, on a line orthogonal to the midline circle. | |
| Jun 23, 2010 at 1:09 | comment | added | sigoldberg1 | Well, say I'm trying to excite it with vibrations near the fundamental frequency of the corresponding orientable cylindrical surface. Is the resonant frequency (eigenvalue) of the mobius strip shifted? I know this doesn't exactly answer your question, but you see what I'm imagining. | |
| Jun 23, 2010 at 1:00 | comment | added | S. Carnahan♦ | What are the boundary conditions? | |
| Jun 23, 2010 at 0:53 | comment | added | Steve Huntsman | books.google.com/books?id=t0D_YmZpTucC&pg=PA333 | |
| Jun 23, 2010 at 0:05 | history | asked | sigoldberg1 | CC BY-SA 2.5 |