✦ LIBER ✦
Analysis of vibration by the wave propagation method and Bolotin's method for a rectangular thin plate with at least one side roller-supported
✍ Scribed by Matthew P. Coleman
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 694 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0165-2125
No coin nor oath required. For personal study only.
✦ Synopsis
two asymptotic methods for the estimation of eigenvalues of boundary value problems, are shown to be equivalent for the case of a rectangular Kirchhoff thin plate, each edge of which is clamped, simply-supported or roller-supported. The wave method is then used to calculate the eigenfrequencies for those cases for which the eigenfunctions are not obtainable by separation of variables. Finally, the same eigenfrequencies are computed numerically by discretization using the Legendre-tau method. The asymptotic results and the numerical results are seen to be in good agreement, even near the low end of the spectrum.