DQFEM Analyses of Static and Dynamic Nonlinear Elastic-Plastic Problems Using a GSR-Based Accelerated Constant Stiffness Equilibrium Iteration Technique-Reference-Cited by-同舟云学术

DQFEM Analyses of Static and Dynamic Nonlinear Elastic-Plastic Problems Using a GSR-Based Accelerated Constant Stiffness Equilibrium Iteration Technique

Published:2001-02-28 Issue:3 Volume:123 Page:310-317
ISSN:0094-9930
Container-title:Journal of Pressure Vessel Technology
language:en
Short-container-title:

Author:

Chen Chang-New¹

Affiliation:

1. Department of Naval Architecture and Marine Engineering, National Cheng Kung University, Tainan, Taiwan

Abstract

An integrated numerical technique for static and dynamic nonlinear structural problems adopting the equilibrium iteration is proposed. The differential quadrature finite element method (DQFEM), which uses the differential quadrature (DQ) techniques to the finite element discretization, is used to analyze the static and dynamic nonlinear structural mechanics problems. Numerical time integration in conjunction with the use of equilibrium iteration is used to update the response history. The equilibrium iteration can be carried out by the accelerated iteration schemes. The global secant relaxation-based accelerated constant stiffness and diagonal stiffness-based predictor-corrector equilibrium iterations which are efficient and reliable are used for the numerical computations. Sample problems are analyzed. Numerical results demonstrate the algorithm.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Safety, Risk, Reliability and Quality

Link

http://asmedigitalcollection.asme.org/pressurevesseltech/article-pdf/123/3/310/5761633/310_1.pdf

Reference21 articles.

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2. Chen, C. N. , 1992, “Efficient and Reliable Accelerated Constant Stiffness Algorithms for the Solution of Non-linear Problems,” Int. J. Numer. Methods Eng., 35, pp. 481–490.

3. Ponthot, J. P. and Hogge, M., 1994, “On Relative Merits of Implicit/Explicit Algorithms for Transient Problems in Metal Forming Simulation,” Proc., International Conference on Numerical Methods for Metal Forming in Industry, Baden-Baden, GERMANY, 2, pp. 128–148.

4. Chen, C. N., 1998, “The Differential Quadrature Finite Element Method,” Applied Mechanics in the Americas, D. Pamplona et al. eds., American Academy of Mechanics, 6, pp. 309–312.

5. Bellman, R. E., and Casti, J., 1971, “Differential Quadrature and Long-term Integration,” J. Math. Anal. Appl., 34, pp. 235–238.

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