### 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 |
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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 |

卷 | 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 18 → 1990 二月 23 |

### Other

Other | Proceedings of the Ninth International Conference on Offshore Mechanics and Arctic Engineering 1990. Volume III: Materials Engineering - Part A |
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城市 | Houston, TX, USA |

期間 | 90-02-18 → 90-02-23 |

### 指紋

### All Science Journal Classification (ASJC) codes

- Engineering(all)

### 引用此文

*Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium*(pt B 編輯, 卷 1, 頁 623-628). Publ by ASME.

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*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.

研究成果: Conference contribution

TY - GEN

T1 - Two solution algorithms for the analysis of nonlinear problems

AU - Chen, C. N.

PY - 1990

Y1 - 1990

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0025210293&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025210293&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0025210293

VL - 1

SP - 623

EP - 628

BT - Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium

A2 - Salama, M.M.

A2 - Rhee, H.C.

A2 - Williams, J.G.

A2 - Liu, S.

PB - Publ by ASME

ER -