This paper presents a differential quadrature (DQ) solution for free vibration analysis of thick plates of continuously varying thickness on two-parameter elastic foundations. The formulations are based on the first-order shear deformation theory taking into account the effects of rotary inertia. Th
Vibration of prismatic beam on an elastic foundation by the differential quadrature element method
โ Scribed by Chang-New Chen
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 242 KB
- Volume
- 77
- Category
- Article
- ISSN
- 0045-7949
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โฆ Synopsis
A new numerical approach for solving the vibration of a beam resting on an elastic foundation is proposed. The approach uses the dierential quadrature (DQ) to discretize the dierential eigenvalue equation deยฎned on each element, the transition conditions deยฎned on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. It is the dierential quadrature element method (DQEM) analysis model of the vibration of beams resting on elastic foundations. Numerical results obtained are presented. They prove that the developed DQEM analysis model is ecient and reliable.
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