The Rayleigh-Lamb frequency equation is derived in studying eigenvalues and eigenfunctions for the beam problem in a domain (-a, a) × (-d, d). It is shown that there is an upper bound and a lower bound for each branch of the frequency spectrum which consists of all roots of the frequency equation.
|Number of pages||22|
|Journal||Japan Journal of Industrial and Applied Mathematics|
|Publication status||Published - 1999 Oct|
All Science Journal Classification (ASJC) codes
- Applied Mathematics