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DESIGN SENSITIVITY ANALAYSIS OF NONLINEAR SHELL STRUCTURE WITH FRICTIONLESS CONTACT

机译:无摩擦接触的非线性壳结构设计敏感性分析

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A continuum-based shape and configuration design sensitivity analysis method for a finite deformation elastoplastic shell structure with Motionless contact has been developed. Shell elastoplasticity is treated based on the projection method that performs the return mapping on the subspace defined by the zero-normal stress condition. An incrementally objective integration scheme is used in the context of finite deformation shell analysis, wherein stress objectivity is preserved for finite rotation increments. The penalty regularization method is used to approximate the contact variational inequality. The material derivative concept is used to develop continuum based design sensitivity. The design sensitivity equation is solved without iteration at each converged load step. Numerical implementation of the proposed shape and configuration design sensitivity analysis is carried out using the meshfree method. The accuracy and efficiency of the proposed method is illustrated using numerical examples.
机译:已经开发了一种基于连续的形状和配置设计灵敏度分析,用于有限变形弹塑性壳结构,具有一系列动态接触。基于对由零正常应力条件定义的子空间执行返回映射的投影方法来处理壳弹性塑性。在有限变形壳体分析的背景下使用递增的客观的集成方案,其中保留了应力客观以获得有限旋转增量。惩罚正则化方法用于近似接触变分不等式。材料衍生概念用于开发基于连续的设计灵敏度。设计灵敏度方程在没有迭代的情况下在每个融合的负载步骤中解决。建议形状和配置设计灵敏度分析的数值实现使用网格法进行。使用数值例示出所提出的方法的准确性和效率。

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