Abstract
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.
Original language | English |
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Pages (from-to) | 401-422 |
Number of pages | 22 |
Journal | Japan Journal of Industrial and Applied Mathematics |
Volume | 16 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1999 Oct |
All Science Journal Classification (ASJC) codes
- Engineering(all)
- Applied Mathematics