Shape optimization of thin walled structures governed by geometrically nonlinear mechanics
Shape optimization of thin walled structures governed by geometrically nonlinear mechanics
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DOI：
10.1016/j.cma.2012.05.016
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发表时间：
2012-09
影响因子：
7.2
通讯作者：
M. Firl;K. Bletzinger
中科院分区：
文献类型：
--
作者：
M. Firl;K. Bletzinger
本文介绍了一种结构优化策略，将基于有限元的参数化与非线性运动学相结合，以优化薄壳结构的形状。优化基于基于梯度的策略，其中所需的导数由伴随方法制定。所应用的求解算法将众所周知的非线性路径跟随策略与形状优化的设计更新过程相结合。这产生了稳健且灵活的方法，只需要最少的系统评估。所提出的优化目标改善了结构的承载性能并最小化位移和应力。结果表明，这种有效的设计还表现出改进的极限载荷。这一贡献通过几个形状优化问题说明了所提出的方法的应用。所提出的结果证明了优化设计的卓越性能，即使优化设计受到不可避免的缺陷的干扰。结果表明，非线性运动学在薄壳结构形状优化中的应用可以获得更真实的系统响应和梯度数据。所提出的方法分别适用于各种优化策略，例如拓扑、尺寸或材料优化。
This paper introduces a structural optimization strategy that combines FE-based parametrization with nonlinear kinematics in order to optimize the shape of thin shell structures. The optimization is based on gradient based strategies where the required derivatives are formulated by the adjoint approach. The applied solution algorithm combines the well known nonlinear path following strategies with the design update procedure of the shape optimization. This results in robust and flexible methods that require only a minimum of system evaluations. The proposed optimization goals improve the load carrying behavior of the structure and minimize displacements and stresses. It is shown that such efficient designs also exhibit an improved limit load. This contribution illustrates the application of the proposed method by several shape optimization problems. The presented results prove the exceptional performance of the optimized designs even if the optimal design is disturbed by unavoidable imperfections. It is shown that the application of nonlinear kinematics in the shape optimization of thin shell structures allows for a much more realistic system response and gradient data. The proposed approach is applicable to all kind of optimization strategies like topology, sizing or material optimization, respectively.