The triangular di!erential quadrature method is applied to the free #exural vibration of isosceles triangular Mindlin plates. The "rst six frequencies are sought and the convergence of triangular di!erential quadrature method in vibrational analysis of triangular Mindlin plates is examined. In compa
VIBRATION ANALYSIS OF CIRCULAR MINDLIN PLATES USING THE DIFFERENTIAL QUADRATURE METHOD
β Scribed by K.M. Liew; J.-B. Han; Z.M. Xiao
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 224 KB
- Volume
- 205
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
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 and clamped edges. Through these computations, the capability and simplicity of the differential quadrature method for moderately thick plate eigenvalue analysis is demonstrated, and convergence and accuracy are thoughtfully examined. The case of a rigid point support at the plate centre is also considered in the present paper, for which special attention is paid to the capability and convergence of the current method.
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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. Fun
A methodology for applying the differential quadrature (DQ) method to the free vibration analysis of arbitrary quadrilateral plates is developed. In our approach, the irregular physical domain is transformed into a rectangular domain in the computational space. The governing equation and the boundar