基于递阶遗传算法的结构非接触形状控制

Structure of non-contact shape control based on hierarchical genetic algorithms

以PLZT光致伸缩层合梁非接触形状控制问题为研究对象,提出了一种结合结构拓扑优化与递阶遗传算法的控制方法.该方法以PLZT光致伸缩驱动器的拓扑分布和照射的光强值为设计变量,以PLZT光致伸缩层合梁的期望形状与控制形状的差值函数为适应度函数,应用结构拓扑优化、递阶遗传算法和有限元法,优化了PLZT光致伸缩驱动器的分布和所照射的光强值.与基于传统遗传算法的形状控制方法的计算结果进行了对比分析,该方法的进化速度提高了91%以上,所控制的结构形状与期望形状的误差较传统遗传算法降低了76%以上.

Taking the non-contact shape control of a beam bonded with PLZT photostric- tive actuators on its surface as an object, a control method was proposed by combining the struc- tural topology optimization and hierarchical genetic algorithms. In this method, the topological distribution of photostrictive actuators and the light intensity were chosen as design variables, and the shape errors between the desired shape and the achieved shape of beam bonded with PLZT photostrictive actuators were taken as the fitness function. The distribution of PLZT photostrictive actuators and the light intensity were optimized by using structural topology opti- mization, hierarchical genetic algorithms and finite element method. The performance of the presented method for shape control was assessed in comparison with that of the conventional ge- netic algorithm. The results demonstrate that the speed of the evolution of the presented method has been improved by more than 9 l % and the errors between the desired shape and the achieved shape have been reduced by over 76 % compared with the conventional genetic algorithm.