Plastic collapse analysis of arch structures by using the differential quadrature element method with a global secant relaxation-based accelerated iteration procedure

Chang-New Chen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A global secant relaxation(GSR)-based accelerated constant stiffness iteration scheme is used to carry out the incremental/iterative solution of nonlinear differential quadrature element problems involving plastic collapse of arch structures. The differential quadrature element method (DQEM) uses the extended differential quadrature (EDQ) to discretize the differential equation defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the arch structures. The DQEM can accurately describe the deformation behavior of the plastic deformed arch structures. The accelerated constant stiffness iteration procedure can overcome the possible deficiency of numerical instability caused by local failure existing in the iterative computation. Moreover, this method can efficiently accelerate the convergence rate of the iterative computation. Consequently, the incremental/iterative analysis can be consistently carried out to update the response history up to a near ultimate load stage, which is important for investigating the global failure behavior of a structure under certain external cause. Sample problems are solved, and the numerical results of limit strength are presented.

Original languageEnglish
Title of host publicationProceedings of the 9th International Conference on Computational Structures Technology, CST 2008
PublisherCivil-Comp Press
Volume88
ISBN (Print)9781905088232
Publication statusPublished - 2008 Jan 1
Event9th International Conference on Computational Structures Technology, CST 2008 - Athens, Greece
Duration: 2008 Sep 22008 Sep 5

Other

Other9th International Conference on Computational Structures Technology, CST 2008
CountryGreece
CityAthens
Period08-09-0208-09-05

All Science Journal Classification (ASJC) codes

  • Environmental Engineering
  • Civil and Structural Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence

Fingerprint Dive into the research topics of 'Plastic collapse analysis of arch structures by using the differential quadrature element method with a global secant relaxation-based accelerated iteration procedure'. Together they form a unique fingerprint.

Cite this