含压电片梁的静变形控制

首先借助阶梯函数，建立了含有任意分布的用作执行器的压电片的梁挠曲轴线方程。然后利用该方程，进行了梁的静变形控制的研究。最后结合实例，用“遗传＋配点”法对压电片的位置和尺寸进行了优化。结果表明，本文建立的挠曲方程形式简洁，求解简单：“遗传＋配点”法优化效果明显。

Shape Control of Beam Containing Piezoelectric Patches

Applying Heaviside function, the equations governing the beam that possessing spatially distributed piezoelectric patches have been established. Based on these equations, some problems about the shape control have been discussed. Using the collocation point method combined with genetic algorithm, the optimal locations and scales of these piezoelectric patches have been selected. Numerical examples of beam have been presented to illustrate the simplicity and efficacy of the algorithm.