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The Vibration of Stepped Beams and Rectangular Plates By an Elemental Dynamic Flexibility Method

✍ Scribed by J. Lee; L.A. Bergman

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
596 KB
Volume
171
Category
Article
ISSN
0022-460X

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✦ Synopsis

A new method for the concise and efficient solution of the free and forced vibration of a class of complex linear structures is proposed. The structures, having discontinuous properties, are divided into elemental substructures, and the displacement field for each is obtained in terms of its dynamic Green's function. The characteristic equation of the system is derived from interelement compatibility conditions, from which the system eigenvalues are found. The system eigenfunctions and the orthogonality relation for the eigenfunctions are derived, leading to an analytical solution for the forced response of the system.

πŸ“œ SIMILAR VOLUMES

Static and free vibrational analysis of
Static and free vibrational analysis of rectangular plates by the differential quadrature element method
✍ Wang, Xinwei ;Wang, Yong-Liang ;Chen, Rong-Bing πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 103 KB πŸ‘ 2 views

The dierential quadrature (DQ) element method proposed by Wang and Gu in 1997 has been extended to analyse rectangular plate problems. The methodology is worked out in detail and some numerical examples are given.