Letter to the Editors ## COMMENTS ON 'VIBRATION ANALYSIS OF PLATES WITH CUTOUTS BY THE MODIFIED RAYLEIGH-RITZ METHOD' Dr K. Y. Lam and coworkers must be congratulated for their interesting contribution and useful results. 1 It is felt, however, that a more careful mathematical analysis is needed
Vibration analysis of plates with cutouts by the modified Rayleigh-Ritz method
β Scribed by K.Y. Lam; K.C. Hung; S.T. Chow
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 448 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0003-682X
No coin nor oath required. For personal study only.
β¦ Synopsis
An efficient and accurate numerical method in the study of the vibration of rectangular plates with cutouts and non-homogeneity is presented. By dividing the problem domain into appropriate rectangular segments, the deflection function for the originally complex domain can easily be found. The method is simple and versatile by virtue of the use of a newly developed characteristic polynomial function in the Rayleigh-Ritz procedures. Numerical results obtained for isotropic and orthotropic plates are compared with the open literature and the agreement is found to be very good.
π SIMILAR VOLUMES
A variant of the Rayleigh-Ritz method is presented for solving the free vibration problem of annular plates with internal axisymmetric supports. The method is simple, accurate and may be readily programmed and run on a microcomputer. A comprehensive tabulation of the fundamental frequencies is prese
An analytical model is developed to predict the modal characteristics of thin-walled circular cylindrical laminated shells with free ends. The shell is orthotropic and has mid-plane symmetry. By using Love's first-approximation shell theory, a strain energy functional containing both bending and str