Structural analysis by the differential quadrature method using modified weighting matrices

Siu Tong Choi, Yu Tuan Chou

研究成果: Conference contribution

6 引文 斯高帕斯(Scopus)

摘要

The differential quadrature method has lately been more and more often used for analysis of engineering problems as an alternative for the finite element method or finite difference method. In this paper, static, dynamic and buckling analyses of structural components are performed by the differential quadrature method. To improve the accuracy of this method, an approach is proposed for selecting the sampling points which include base points and conditional points. The base points are taken as the roots of the Legendre polynomials. Accuracy of the problems analyzed will be increased by using the base points. The conditional points are determinedaccording to boundary conditions and specified conditions of external load. A modified algorithm is proposed for applying two or more boundary conditions in a sampling point at boundary of domain, such that the higher-order partial differential equation can be solved without adding new sampling points. By applying this approach to variety problems, such as deflections of beam under nonuniformly distributed loading, vibration and buckling analyses of beam and plate, it is found that numerical results of the present approach are more accurate than those obtained by the equally-spaced differential quadrature method and is computationally efficient.

原文English
主出版物標題18th Computers in Engineering Conference
發行者American Society of Mechanical Engineers (ASME)
ISBN(電子)9780791880364
DOIs
出版狀態Published - 1998
事件ASME 1998 Design Engineering Technical Conferences, DETC 1998 - Atlanta, United States
持續時間: 1998 九月 131998 九月 16

出版系列

名字Proceedings of the ASME Design Engineering Technical Conference
6

Conference

ConferenceASME 1998 Design Engineering Technical Conferences, DETC 1998
國家/地區United States
城市Atlanta
期間98-09-1398-09-16

All Science Journal Classification (ASJC) codes

  • 機械工業
  • 電腦繪圖與電腦輔助設計
  • 電腦科學應用
  • 建模與模擬

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