Development of Sensitivity Analysis and Reanalysis mothods for Nonlinear

非线性灵敏度分析和再分析方法的发展

基本信息

批准号：
04555100
负责人：
YAO Tetsuya
金额：
$ 4.29万
依托单位：
HIROSHIMA UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Developmental Scientific Research (B)
财政年份：
1992
资助国家：
日本
起止时间：
1992 至 1994
项目状态：
已结题

项目摘要

At the starting point of this research project, only the development of methods for sensitivity analysis and reanalysis for nonlinear structural responses were aimed. However, from the practical point of view, structural optimization was also included applying the developed methods.At the beginning, the method of sensitivity analysis was developed for elastoplastic structural responses in the framework of the finite element method. For reanalysis of elastoplastic structural behavior, Taylor's series expansion method was applied. The sensitivities of elastoplastic responses of truss, frame and plate structures were calculated. The reanalysis solutions applying the proposed method were found to be in good agreement with the exact solutins. It was also found that the sensitivities of load magnification factors which enables exact yielding of elements play an important role in reanalysis.The methods of sensitivity analysis for post-buckling elastic behavior were also developed for beam-columns and stiffened plates. The finite element methods was applied for beam-columns, and the analytical method for stiffened plates. It was found that the reanalysis solution is largely different from the exact solution near the buckling load when the analysis is performed under load control.At the end, the developed methods were incorporated into the optimal design procedure. Then, the optimization of truss structure allowing yielding and that of stiffened plates allowing elastic panel buckling were performed, and the usefulness of the proposed method was demonstrated.

在该研究项目的起点，仅旨在开发非线性结构响应的灵敏度分析和再分析方法。然而，从实践的角度来看，结构优化也包括应用所开发的方法。首先，在有限元方法的框架内开发了弹塑性结构响应的灵敏度分析方法。为了重新分析弹塑性结构行为，应用了泰勒级数展开法。计算了桁架、框架和板结构的弹塑性响应灵敏度。发现应用所提出的方法的再分析解与精确解非常一致。我们还发现，荷载放大系数的敏感性在重新分析中起着重要的作用，荷载放大系数使单元能够精确屈服。还开发了梁柱和加筋板的屈曲后弹性行为的敏感性分析方法。梁柱采用有限元方法，加劲板采用解析方法。结果发现，在载荷控制下进行分析时，重新分析的解与屈曲载荷附近的精确解有很大不同。最后，将所开发的方法纳入优化设计过程。然后，对允许屈服的桁架结构和允许弹性面板屈曲的加劲板结构进行了优化，并证明了该方法的有效性。