DQEM for large deformation analysis of structures with discontinuity conditions and initial displacements

  • Hu Y
  • Zhu Y
  • Cheng C
  • 4

    Readers

    Mendeley users who have this article in their library.
  • 21

    Citations

    Citations of this article.

Abstract

A nonlinear mathematical model of the large deformation analysis of beams with discontinuity conditions and initial displacements is first formulized by the arc coordinates. The differential quadrature element method (DQEM) is applied to discretize the nonlinear mathematical model, and an effective method of applying DQEM to analyse the large deformation of structures with discontinuity conditions of multivariables is presented. A set of DQEM discretization equations are obtained. Then, the Newton-Raphson method is used to solve the system of nonlinear algebraic equations. As applications, some numerical examples in engineering are presented, which include the large deformation analysis of beams, frames, piles with elastic joints. The obtained results are compared with those in the existing literatures. The numerical results show that the model and the method presented in this paper may be widely applied to solve the problems of large deformation of structures with discontinuity conditions in engineering; also the method has the advantages of little amount in computation, good stability and convergence and so on. © 2007 Elsevier Ltd. All rights reserved.

Author-supplied keywords

  • Beam
  • Differential quadrature element method (DQEM)
  • Discontinuity condition
  • Frame
  • Large deformation
  • Pile

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Yu Jia Hu

  • Yuan Yuan Zhu

  • Chang Jun Cheng

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free