This paper presents di!erential quadrature solutions for free vibration analysis of moderately thick annular sector plates based on the Mindlin "rst-order shear deformation theory. Numerical characteristics of the di!erential quadrature method are illustrated through solving selected annular sector
Vibration analysis of shear deformable circular arches by the differential quadrature method
β Scribed by K. Kang; C.W. Bert; A.G. Striz
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 319 KB
- Volume
- 183
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
The differential quadrature method is applied in the computation of the eigenvalues of the equations of motion governing in-plane and out-of-plane vibration of circular arches, based on the Bresse-Timoshenko beam theory in which both rotatory inertia and shear deformation are taken into account. Fundamental frequencies are calculated for arches of rectangular and circular cross sections under clamped-clamped end conditions and the results are compared with numerical solutions by another method. The present method gives good accuracy with only a limited number of grid points.
π SIMILAR VOLUMES
Axisymmetric free vibrations of moderately thick circular plates described by the linear shear-deformation Mindlin theory are analyzed by the differential quadrature (DQ) method. The first fifteen natural frequencies of vibration are calculated for uniform circular plates with free, simply-supported
In this paper, the two-dimensional di!erential quadrature element method (DQEM) is developed for the static analysis of symmetric cross-ply laminates using the "rst-order shear deformation plate theory. In this study, the laminated plate, which may contain di!erent discontinuities in loading, geomet