𝔖 Bobbio Scriptorium
✦   LIBER   ✦

VIBRATION ANALYSIS OF CIRCULAR MINDLIN PLATES USING THE DIFFERENTIAL QUADRATURE METHOD

✍ 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

No coin nor oath required. For personal study only.

✦ 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.


πŸ“œ SIMILAR VOLUMES


FREE VIBRATION ANALYSIS OF ISOSCELES TRI
✍ H.Z. ZHONG πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 137 KB

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 shear deformable c
✍ K. Kang; C.W. Bert; A.G. Striz πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 319 KB

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

Free Vibration Analysis of Curvilinear Q
✍ C. Shu; W. Chen; H. Du πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 94 KB

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