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首页> 外文期刊>International journal of non-linear mechanics >Dynamic buckling of a 2-DOF imperfect system with symmetric imperfections
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Dynamic buckling of a 2-DOF imperfect system with symmetric imperfections

机译：具有对称缺陷的2自由度缺陷系统的动态屈曲

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摘要

Non-linear dynamic buckling of a two-degree-of freedom (2-DOF) imperfect planar system with symmetric imperfections under a step load of infinite duration (autonomous system) is thoroughly discussed using energy and geometric considerations. This system under the same load applied statically exhibits (prior to limit point) an unstable symmetric bifurcation lying on the non-linear primary equilibrium path. With the aid of the total energy-balance equation of the system and the particular geometry (due to symmetric imperfections) of the plane curve corresponding to the zero level total potential energy "surface" exact dynamic buckling loads are obtained without solving the non-linear initial-value problem. The efficiency and the reliability of the technique proposed herein is demonstrated with the aid of various dynamic buckling analyses which are compared with numerical simulation using the Verner-Runge-Kutta scheme, the accuracy of which is checked via the energy-balance equation.
机译：利用能量和几何考虑因素，充分讨论了在无限持续时间的阶跃载荷下，具有对称缺陷的两自由度（2-DOF）缺陷平面系统的非线性动态屈曲。该系统在静态施加的相同载荷下（在极限点之前）表现出位于非线性主要平衡路径上的不稳定对称分支。借助系统的总能量平衡方程式和与零级总势能“表面”相对应的平面曲线的特定几何形状（由于对称缺陷），可以获得精确的动态屈曲载荷，而无需求解非线性初值问题。本文提出的技术的效率和可靠性借助各种动态屈曲分析得到了证明，这些屈曲分析与使用Verner-Runge-Kutta方案的数值模拟进行了比较，其准确性通过能量平衡方程式进行了检验。

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