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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >On the predictability of zero-stiffness postbuckling
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On the predictability of zero-stiffness postbuckling

机译：关于零刚度后屈曲的可预测性

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摘要

The purpose of this paper is to derive sufficient and necessary conditions for zero-stiffness postbuckling which is bound up with a favorable form of transition from imperfection sensitivity to imperfection insensitivity in the course of sensitivity analysis of the initial postbuckling path. Zero-stiffness postbuckling as such is shown to be imperfection insensitive. Choosing Koiter's initial postbuckling analysis as the vehicle for answering the question of predictability of zero-stiffness postbuckling seems, at first sight, to be a contradiction in terms, since zero-stiffness postbuckling includes the entire postbuckling path whereas Koiter's initial postbuckling analysis is practically restricted to the neighborhood of the bifurcation point. The theoretical findings presented in this work are verified numerically.The purpose of this paper is to derive sufficient and necessary conditions for zero-stiffness postbuckling which is bound up with a favorable form of transition from imperfection sensitivity to imperfection insensitivity in the course of sensitivity analysis of the initial postbuckling path. Zero-stiffness postbuckling as such is shown to be imperfection insensitive. Choosing Koiter's initial postbuckling analysis as the vehicle for answering the question of predictability of zero-stiffness postbuckling seems, at first sight, to be a contradiction in terms, since zero-stiffness postbuckling includes the entire postbuckling path whereas Koiter's initial postbuckling analysis is practically restricted to the neighborhood of the bifurcation point. The theoretical findings presented in this work are verified numerically.
机译：本文的目的是为零刚度后屈曲导出充分必要的条件，在初始后屈曲路径的敏感性分析过程中，该条件与从不完善敏感性向不完善不敏感性的过渡是有利的。这样的零刚度后屈曲被证明是不完美的。乍看之下，选择Koiter的初始屈曲分析作为回答零刚度后屈曲可预测性问题的手段似乎是矛盾的，因为零刚度的屈曲包括整个屈曲路径，而Koiter的初始屈曲分析实际上受到限制。到分叉点附近。本文对本文提出的理论发现进行了数值验证。本文的目的是为零刚度后屈曲导出充分必要的条件，并在敏感性分析过程中以从缺陷敏感性向缺陷敏感性的过渡过渡。初始后屈曲路径。这样的零刚度后屈曲被证明是不完美的。乍看之下，选择Koiter的初始屈曲分析作为回答零刚度后屈曲可预测性问题的手段似乎是矛盾的，因为零刚度的屈曲包括整个屈曲路径，而Koiter的初始屈曲分析实际上受到限制。到分叉点附近。这项工作中提出的理论发现在数值上得到了验证。

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