板壳结构非线性随机有限元法研究

王庆; 姚竞争

doi:10.6052/j.issn.1000-4750.2012.06.0444

板壳结构非线性随机有限元法研究

王庆,
姚竞争

哈尔滨工程大学船舶工程学院，哈尔滨150001

详细信息

作者简介:
姚竞争(1977―)，男，湖南人，讲师，博士，从事数字化造船、船舶设计工作(E-mailyaojingzheng@hrbeu.edu.cn).

通讯作者:
王庆(1972―),男,黑龙江哈尔滨人,副教授,博士,硕导,从事船舶结构、船舶设计等工作(E-mail:wangqing@hrbeu.edu.cn).

中图分类号: TU318
计量
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出版历程
- 收稿日期: 2012-06-23
- 修回日期: 2013-01-28
- 刊出日期: 2013-12-24

STOCHASTIC FINITE ELEMENT METHOD FOR ANALYZING NONLINEAR SHELL STRUCTURES WITH RANDOM PARAMETERS

Shipbuilding Engineering Institute, Harbin Engineering University, Harbin 150001, China

摘要

摘要: 采用摄动随机有限元法研究了具有随机参数的板壳结构大挠度动力响应问题。基于Mindlin-Reissner板理论，采用全量Lagrangian法推导了具有板壳结构的大变形、大转动的动力响应有限元列式；通过基于等参变换的局部模型对随机场进行离散，结合摄动技术，建立了基于摄动技术的增量形式的随机有限元列式，计算结果与Monte-Carlo法相比较表明了该方法的有效性和精确性。通过该方法，为进一步进行结构可靠性分析提供了依据和方便。
- 几何非线性 /
- 板壳结构 /
- 摄动技术 /
- 随机有限元法 /
- 随机场
Abstract: Several algorithms were proposed for the development of a framework of the perturbation based stochastic finite element method (PSFEM) for analyzing nonlinear shell structures with random parameters. For this purpose, based on the stochastic virtual work principle, some algorithms and a framework related to SFEM were studied. An isoperimetric local average method was used to discretize the random fields. A comparison with Monte-Carlo simulation method shows that the approaches proposed herein are accurate and effective for the nonlinear dynamic analysis of structures with random parameters.
- geometrical nonlinearities /
- shell structures /
- perturbation technique /
- stochastic finite element method /
- random field

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参考文献(11)

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施引文献(9)

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