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
FREE VIBRATION ANALYSIS OF ISOSCELES TRIANGULAR MINDLIN PLATES BY THE TRIANGULAR DIFFERENTIAL QUADRATURE METHOD
β Scribed by H.Z. ZHONG
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 137 KB
- Volume
- 237
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
β¦ Synopsis
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 comparison with available results, good to excellent agreement is achieved for triangular plates with combinations of clamped and simply supported boundary conditions. The implementation of various other boundary conditions in triangular di!erential quadrature analysis is also discussed and the sensitivity of solution to the implementation of corner conditions in vibrational analysis is highlighted.
2000 Academic Press
fM O fM P fM N d fM O dΒΈ fM P fM N fM O dfM P dΒΈ ?@A . (11) Similar expression for C V ?@ANOP can be established, i.e., C W ?@A NOP " *ΒΈ *y *ΒΈ *y *ΒΈ *y *f NOP *ΒΈ *f NOP *ΒΈ *f NOP *ΒΈ ?@A
π SIMILAR VOLUMES
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
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.