math212,homework14december,4january

math212,homework14december,4january - is, find the general...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 212 , Fall 2007 Instructor : Friedemann Brock Homework assignment, 14 December 2007 – 4 January 2008 Exercise: Analyse the vibrations of an elastic solid cylinder occupying the region 0 r 1, 0 z 1, in cylindrical coordinates if its top and bottom are held fixed, its circular surface is free, and the initial velocity is zero. That
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: is, find the general solution of v tt = c 2 ( v rr + r-1 v r + r-2 v θθ + v zz ) , v ( r, θ, , t ) = v ( r, θ, 1 , t ) = v r (1 , θ, z, t ) = v t ( r, θ, z, 0) = 0 ....
View Full Document

Ask a homework question - tutors are online