Two solution algorithms for the analysis of nonlinear problems

C. N. Chen

研究成果: Conference contribution

2 引文 (Scopus)

摘要

Two algorithms for the nonlinear finite element analysis are described. These algorithms concern a relaxation of the response increments defined by the modified Newton-Raphson procedure. Two different error criterions are adopted for determining the relaxation parameters. The formulation is based on the secant relation established by the initial response prediction. The relaxation parameters are simply defined by the inner products of a certain combination involving initial response increments and residual force vectors. Numerical results show that these algorithms are reliable and effective in accelerating the convergence rate of the constant stiffness iteration, with low cost of numerical computations and storage requirements.

原文English
主出版物標題Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium
編輯M.M. Salama, H.C. Rhee, J.G. Williams, S. Liu
發行者Publ by ASME
頁面623-628
頁數6
1
版本pt B
出版狀態Published - 1990
事件Proceedings of the Ninth International Conference on Offshore Mechanics and Arctic Engineering 1990. Volume III: Materials Engineering - Part A - Houston, TX, USA
持續時間: 1990 二月 181990 二月 23

Other

OtherProceedings of the Ninth International Conference on Offshore Mechanics and Arctic Engineering 1990. Volume III: Materials Engineering - Part A
城市Houston, TX, USA
期間90-02-1890-02-23

指紋

Stiffness
Finite element method
Costs

All Science Journal Classification (ASJC) codes

  • Engineering(all)

引用此文

Chen, C. N. (1990). Two solution algorithms for the analysis of nonlinear problems. 於 M. M. Salama, H. C. Rhee, J. G. Williams, & S. Liu (編輯), Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium (pt B 編輯, 卷 1, 頁 623-628). Publ by ASME.
Chen, C. N. / Two solution algorithms for the analysis of nonlinear problems. Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium. 編輯 / M.M. Salama ; H.C. Rhee ; J.G. Williams ; S. Liu. 卷 1 pt B. 編輯 Publ by ASME, 1990. 頁 623-628
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Chen, CN 1990, Two solution algorithms for the analysis of nonlinear problems. 於 MM Salama, HC Rhee, JG Williams & S Liu (編輯), Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium. pt B edn, 卷 1, Publ by ASME, 頁 623-628, Proceedings of the Ninth International Conference on Offshore Mechanics and Arctic Engineering 1990. Volume III: Materials Engineering - Part A, Houston, TX, USA, 90-02-18.

Two solution algorithms for the analysis of nonlinear problems. / Chen, C. N.

Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium. 編輯 / M.M. Salama; H.C. Rhee; J.G. Williams; S. Liu. 卷 1 pt B. 編輯 Publ by ASME, 1990. p. 623-628.

研究成果: Conference contribution

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PY - 1990

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AB - Two algorithms for the nonlinear finite element analysis are described. These algorithms concern a relaxation of the response increments defined by the modified Newton-Raphson procedure. Two different error criterions are adopted for determining the relaxation parameters. The formulation is based on the secant relation established by the initial response prediction. The relaxation parameters are simply defined by the inner products of a certain combination involving initial response increments and residual force vectors. Numerical results show that these algorithms are reliable and effective in accelerating the convergence rate of the constant stiffness iteration, with low cost of numerical computations and storage requirements.

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Chen CN. Two solution algorithms for the analysis of nonlinear problems. 於 Salama MM, Rhee HC, Williams JG, Liu S, 編輯, Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium. pt B 編輯 卷 1. Publ by ASME. 1990. p. 623-628