可移动变形组件法中组件数对拓扑结构优化的影响

Effect of component number on topology structure optimization in moving morphable component method

  • 摘要: 可移动变形组件法因具有设计变量少、可显式表达结构几何参数等优点,现已广泛被应用于工程结构的拓扑优化设计中。针对可移动变形组件法中组件数目对拓扑结构优化的影响,基于可移动变形组件框架,利用有限元分析和灵敏度分析求解设计域的结构场,以移动渐近线法更新设计变量,以体积为约束函数,以结构柔度最小为目标函数,研究了不同组件数目对特定受力条件下短板算例的拓扑结构优化的影响。结果表明随着组件数目从6个增加至20个时,目标函数值相应减小,拓扑结构轮廓更为光滑、细节更加突出;然而其拓扑优化结构的复杂程度相应增加、优化耗时增加。研究结果为实际拓扑优化中合理选择组件数目提供了有益的借鉴。

     

    Abstract: The moving morphable components method has the advantages of less design variables and explicit expression of structural geometric parameters, and has become a topology optimization method widely used in the design of engineering structures. In this paper, the influence of the initial number of components in the movable morphable component method on topology optimization is studied. Based on the moving morphable component framework, the finite element analysis and sensitivity analysis are used to solve the structural field of the design domain. The moving asymptote method is used as the optimization method to update the design variables. The volume is used as the constraint function and the structural flexibility is the minimum objective function. The influence of the number of different components on the topology optimization results of the short beam examples under specific stress conditions is studied. The results show that as the number of components increases from 6 to 20, the objective function value decreases correspondingly, the topology contour is smoother and the details are more prominent; however, the complexity of the topology optimization structure increases correspondingly, and the optimization takes time. Research can provide a useful reference for the reasonable selection of components in actual topology optimization.

     

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