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提出了一种基于相场函数的压电俘能器拓扑优化设计方法,通过设计俘能器的材料分布提高其工作效率。其中,利用相场函数描述俘能器上压电材料与基体材料(环氧基树脂)的分布,并建立以相场函数节点值为设计变量,以特定频率激励下俘能器的能量转换因子最大化为目标的拓扑优化模型。该文给出了目标函数和约束函数的灵敏度分析,并采用移动渐近线方法对优化问题进行求解。数值算例验证了所提出的数学模型与设计方法的可行性和有效性。
A method based on phase field function is proposed to optimize the topological design of the piezoelectric capstans. The efficiency of the captive material is improved by designing the material distribution of the capstans. The phase field function is used to describe the distribution of the piezoelectric material and the matrix material (epoxy resin) on the captor, and the energy conversion factor of the captor excited by the specific frequency is established based on the node value of the phase field function as the design variable Maximize the target topology optimization model. This paper gives the sensitivity analysis of the objective function and the constraint function, and uses the moving asymptotic method to solve the optimization problem. Numerical examples demonstrate the feasibility and effectiveness of the proposed mathematical model and design method.