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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >The Koiter-Newton approach using von Karman kinematics for buckling analyses of imperfection sensitive structures
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The Koiter-Newton approach using von Karman kinematics for buckling analyses of imperfection sensitive structures

机译：使用冯·卡门运动学的Koiter-Newton方法对不完善的敏感结构进行屈曲分析

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The Koiter-Newton approach is a reduced-basis method for nonlinear structural analyses. The method combines Koiter's approach as a predictor step and the Newton arc-length technique as a corrector step to trace the entire load-displacement equilibrium path of a structure in a step by step manner. This computationally highly efficient and accurate solution method has recently demonstrated a superior performance in nonlinear analyses compared to standard techniques. In this paper we propose an extension to buckling imperfection sensitivity analyses exploiting the method's stability and reliability. We present two different modeling techniques for imperfection loads that both profit from the Koiter-Newton approach reducing the initial computation steps to a small fraction thereof. We introduce von Kdrmdn kinematics which neglect some nonlinear terms of the Green strain-displacement relations to further increase the computational efficiency of the analysis by an essential reduction of the computation effort required to obtain higher order derivatives of the strain energy. Using various numerical examples and benchmark tests we demonstrate the overall high quality and performance of the proposed method.
机译：Koiter-Newton方法是用于非线性结构分析的减基法。该方法结合了Koiter的方法作为预测器步骤和Newton弧长技术作为校正器步骤，以逐步跟踪结构的整个载荷-位移平衡路径。与标准技术相比，这种计算高效，准确的求解方法最近在非线性分析中表现出了卓越的性能。在本文中，我们提出了一种扩展屈曲缺陷敏感性分析的方法，该方法利用了方法的稳定性和可靠性。我们提出了两种不同的缺陷负荷建模技术，这两种技术均受益于Koiter-Newton方法，从而将初始计算步骤减少到一小部分。我们介绍了von Kdrmdn运动学，该运动学忽略了Green应变-位移关系的一些非线性项，以通过显着减少获得应变能的高阶导数所需的计算工作量来进一步提高分析的计算效率。通过使用各种数值示例和基准测试，我们证明了所提出方法的整体质量和性能。

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