Three-Dimensional Buckling and Vibration Analyses of Rectangular Plates by the Differential Quadrature Method

• Main Authors: Chia-Hung Sun, 孫嘉鴻
• Other Authors: Siu-Tong Choi
• Format: Others
• Language: zh-TW
• Published: 2005
• Online Access: http://ndltd.ncl.edu.tw/handle/20869456466486808730

碩士 === 國立成功大學 === 航空太空工程學系碩博士班 === 93 === 　This thesis presents an application of the differential quadrature method for three-dimensional buckling and vibration analyses of rectangular plates. The governing equations of rectangular plates are based on the three- dimensional elasticity theory. The formulation of differential quadrature is applied to transform the governing equations into algebraic ones, the eigenvalues of which are buckling loads or natural frequencies of rectangular plates. The influences of aspect ratio and thickness-to-width ratio on natural frequencies of rectangular plates with different boundary conditions are studied. In addition, the buckling factors of rectangular plates with different boundary conditions under uni- and bi-axial loadings are obtained. The present DQ solutions show good agreement when compared with exact or approximate solutions. It is found that the DQM presents accurate result for three-dimensional analyses of rectangular plates.