基于相场函数的压电复合材料俘能器拓扑优化设计

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。

TOPOLOGY OPTIMIZATION DESIGN METHOD FOR PIEZOCOMPOSITE ENERGY HARVESTER BASED ON PHASE-FIELD FUNCTION

A topology optimization method based on a phase-field function is presented for the design of a piezoelectric energy harvester. The material distribution of the energy harvester is determined to maximize the working performance. In the proposed formulation, the distribution of both piezoelectric and base materials (Epoxy) are determined by a phase-field function, considered as a design variable. The design objective is to maximize the energy conversion efficiency of the piezoelectric energy harvester at selected frequencies of operation. Numerical techniques for a sensitivity analysis of objective and constraint functions are presented, and the proposed optimization problem is solved with the method of moving asymptotes. Numerical examples are given to demonstrate the applicability of the proposed mathematical model and design method.