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运用多模式预测方法,基于Koiter初始后屈曲理论提出了一个有限元公式。初始后屈曲理论提供了压力作用下结构缺陷敏感性的直接信息,同时也是非线性降阶模型的理论基础。研究的目的在于说明包含了模态作用在内的壳结构的屈曲承载力分析。利用一部分有代表性的模态模型,对包含非线性前屈曲效应的轴压作用的复合柱形壳进行了耦合模式下的初始后屈曲分析。当结构缺陷较小时,从降阶模型中得到的极限屈曲荷载与从全模型非线性分析中得到的结果具有良好的一致性,这说明可以运用本文提议的方法对带有缺陷的壳结构的耦合模态响应进行快速的预测。
Using the multi-mode prediction method, a finite element formula is proposed based on Koiter’s initial post-buckling theory. The initial post-buckling theory provides direct information on the structural flaw sensitivity under pressure and is also the theoretical basis for a nonlinear reduction model. The purpose of this study is to illustrate the analysis of buckling capacity of shell structures that include modal effects. Using some typical modal models, the initial post-buckling analysis of the coupled cylindrical shell subjected to axial compression with nonlinear pre-buckling effect was performed. When the structural defects are small, the ultimate buckling load obtained from the reduced order model is in good agreement with the results obtained from the nonlinear analysis of the full model, which shows that the proposed method can be used to couple the shell structure with defects Modal response for rapid prediction.