The application of DQEM to the analysis of the influence of axially distributed force to the deflection of an Euler-Bernoulli beam

• Main Authors: Zhong-Yuan Zhang, 張鐘元
• Other Authors: Chang-New Chen
• Format: Others
• Language: zh-TW
• Published: 2006
• Online Access: http://ndltd.ncl.edu.tw/handle/63026470231633949485

碩士 === 國立成功大學 === 系統及船舶機電工程學系碩博士班 === 94 === A new numerical approach for solving the problem of a beam with random force is proposed. The approach uses the differential quadrature (DQ) to discretize the governing differential equations defined on all elements, the transition conditions defined on the interelement boundaries of two adjacent elements, and the boundary conditions of the beam. By assembling all the discrete relation equations, a global linear algebraic system can be obtained. Numerical results of the solutions of beams resting on a foundations obtained by the DQEM are presented. The differential quadrature element method (DQEM) proposed by Dr.C.N. Chen is a numerical analysis method for analyzing continuum mechanics problems. The numerical procedure of this method can systematically implemented into a computer program. The coupling of solutions at discrete points is strong. In addition, all fundamental relations are considered in constructing the overall discrete algebraic system. Consequently, convergence can be assured by using less discrete points, and accurate results can be obtained by using less arithmetic operations which can reduce the computer CPU time required.