复合材料结构与表面压电材料动态布局优化

针对简谐激励作用下的复合材料结构,通过优化结构的铺层、纤维铺设角度和铺层材料及优化结构表面压电材料的分布,实现了最小化结构振动响应。将压电材料的压电效应等效为压电感应力作用。应用离散材料优化(DMO)法对压电复合材料结构进行建模,以结构局部位移响应为优化目标函数,给定质量约束,建立优化问题模型,并使用移动渐近线法(MMA)求解优化问题。数值算例结果表明,该优化设计的振动响应明显小于初始设计的振动响应,说明该优化方法的有效性。

Dynamic Layout Optimization of Composite Structure and Surface Piezoelectric Material

For the composite structure under the harmonic excitation, the vibration response of the structure is minimized by optimizing the stacking sequence, fiber angles and the distribution of piezoelectric material bonded on the surface of the composite structure. The piezoelectric effect of the piezoelectric material is simplified as the piezoelectric induced force. The discrete material optimization(DMO) method is used to model the piezoelectric composite structure. The local displacement response is taken as the optimization objective function with a given constraint of the mass, the optimization problem model is established, and the method of moving asymptotes(MMA) method is used to solve the optimization problem. The result of the numerical calculating example shows that the vibration response of the optimized design is significantly smaller than that of the initial design, which demonstrates the effectiveness of the optimization method.