Design of stiffened panels for stress and buckling via topology optimization
Design of stiffened panels for stress and buckling via topology optimization
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DOI：
10.1007/s00158-021-03062-3
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发表时间：
2021-10-12
影响因子：
3.9
通讯作者：
Kim, H. Alicia
中科院分区：
文献类型：
--
作者：
Chu, Sheng;Featherston, Carol;Kim, H. Alicia
本文研究了加筋板的重量最小化，同时在应力和屈曲约束下优化尺寸、布局和拓扑。使用多个水平集函数提出了有效的拓扑优化参数化。采用板单元对加筋板进行建模。加劲肋通过隐式水平集函数进行参数化。加强筋的内部拓扑及其布局都得到了优化。改进了自由形式网格变形方法来调整有限元网格。尺寸优化也包括在内。蒙皮和加强筋的厚度进行了优化。在单元的底部、中间和顶部表面评估弯曲、剪切和膜应力。 p-范数函数用于将这些应力聚合在单个约束中。为了解决优化问题，进行了半解析灵敏度分析，并概述了优化算法。数值研究证明并验证了所提出的方法。
This paper investigates the weight minimization of stiffened panels simultaneously optimizing sizing, layout, and topology under stress and buckling constraints. An effective topology optimization parameterization is presented using multiple level-set functions. Plate elements are employed to model the stiffened panels. The stiffeners are parametrized by implicit level-set functions. The internal topologies of the stiffeners are optimized as well as their layout. A free-form mesh deformation approach is improved to adjust the finite element mesh. Sizing optimization is also included. The thicknesses of the skin and stiffeners are optimized. Bending, shear, and membrane stresses are evaluated at the bottom, middle, and top surfaces of the elements. A p-norm function is used to aggregate these stresses in a single constraint. To solve the optimization problem, a semi-analytical sensitivity analysis is performed, and the optimization algorithm is outlined. Numerical investigations demonstrate and validate the proposed method.