Abstract
The Rayleigh-Lamb frequency equation is derived in studying eigenvalues and eigenfunctions for the beam problem in a domain (−a,a) x (−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.
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Liu, K.M. Eigenvalue problems for the beam and an upper and lower bound for each branch of solutions of Rayleigh-Lamb frequency equation. Japan J. Indust. Appl. Math. 16, 401–422 (1999). https://doi.org/10.1007/BF03167365
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DOI: https://doi.org/10.1007/BF03167365