A Multi-point constraints based integrated layout and topology optimization design of multi-component systems
A Multi-point constraints based integrated layout and topology optimization design of multi-component systems
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DOI：
10.1007/s00158-014-1134-7
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发表时间：
2015-02
影响因子：
3.9
通讯作者：
Jihong Zhu;H. Gao;Weihong Zhang;Ying Zhou
中科院分区：
文献类型：
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作者：
Jihong Zhu;H. Gao;Weihong Zhang;Ying Zhou
布局与拓扑一体化优化是对结构伪密度和构件位置两类设计变量同时进行优化，以找到合适的可动构件布局及其支撑结构拓扑模式。本文的目的是展示一种新的多点约束（MPC）的方法，其中铆钉或螺栓连接的组件和它们的支撑结构之间的介绍。MPC中涉及的位移一致性被严格保持，使得构件与支撑结构一起承担载荷。此外，可以获得更多的好处，如避免有限元网格重新划分和精确的几何形状的组件。特别是，相对于组件的位置的灵敏度可以通过导出MPC方程来分析和有效地实现。最后，通过数值算例验证了该方法的有效性.
The integrated layout and topology optimization is to find proper layout of movable components and topology patterns of their supporting structures, where two kinds of design variables, i.e. the structural pseudo-densities and the components’ locations are optimized simultaneously. The purpose of this paper is to demonstrate a new multi-point constraints (MPC) based method where the rivets or bolts connections between the components and their supporting structures are introduced. The displacement consistence involved in the MPC is strictly maintained which makes the components to carry the loads together with the supporting structures. Moreover, more benefits like avoidance of finite element remeshing and precise geometry of the components can be obtained. In particular, sensitivities with respect to the components’ locations can be analytically and efficiently achieved by deriving the MPC equations. Finally, several numerical examples are tested and discussed to demonstrate the validity of the proposed method.