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首页> 外文会议>The 7th China-Japan-Korea joint symposium on optimization of structural and mechanical systems >Integrated Layout Optimization Design of Multi-component Systems Based on the Stiffness Spreading Method
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Integrated Layout Optimization Design of Multi-component Systems Based on the Stiffness Spreading Method

机译：基于刚度分布法的多部件系统集成布局优化设计

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摘要

In this paper, the authors extend the stiffness spreading method (SSM), which was proposed previously for layout optimization design of truss structures, to formulate a novel model for the integrated layout optimization design of discrete components and continuous supporting structures.In the proposed model, movable discrete components are included in the design domain. The stiffness matrices of these discrete components are replaced by a set of equivalent stiffness matrices and embedded into the background structure based on the SSM, and their locations can be optimized together with the supporting structural topology simultaneously. The locations of the discrete components and the pseudo-densities of the supporting structure are assigned as the geometrical and topological design variables respectively.All sensitivities required for the optimization can be easily obtained and calculated by analytical methods.In this paper, the model of Solid Isotropic Microstructure with Penalization (SIMP) is applied to optimize the continuous supporting structures and the Method of Moving Asymptotes (MMA) is used as the optimizer. Two types of discrete components, separate bars and substructures consisting of bars, are considered, and no remeshing is required during the optimization process.Several mean compliance minimization problems are studied subject to material volume constrain.Numerical examples illustrate the feasibility and efficiency of the proposed method.
机译：在本文中，作者扩展了先前用于桁架结构布局优化设计的刚度扩展方法（SSM），从而为离散构件和连续支撑结构的集成布局优化设计建立了一个新模型。在设计领域中包括可移动的分立组件。这些离散组件的刚度矩阵被一组等效的刚度矩阵替换，并基于SSM嵌入到背景结构中，并且可以与支撑结构拓扑一起同时优化它们的位置。离散构件的位置和支撑结构的伪密度分别被指定为几何和拓扑设计变量。可以通过分析方法轻松获得和计算优化所需的所有灵敏度。采用具有罚分性的各向同性微结构（SIMP）来优化连续支撑结构，并使用移动渐近线方法（MMA）作为优化器。考虑了两种类型的离散组件，分别是独立的钢筋和由钢筋组成的子结构，并且在优化过程中不需要重新网格化。研究了在材料体积约束下的几个平均合规性最小化问题。数值示例说明了该建议的可行性和效率方法。

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