等强度压电复合悬臂梁的理论建模与数值仿真

Theoretically Modelling and Numerical Simulation of Composite Piezoelectric Cantilever of Equi-strength

通过理论分析和数值模拟验证了三角形压电复合悬臂梁的等强度假设,并推导了三角形压电复合悬臂梁准静态电压输出理论表达式。采用ANSYS 11.0对三角形压电复合悬臂梁的模态特性进行了分析,确定了层合厚度比对其固有频率的影响规律,对比了采用不同基底材料的压电梁电压输出理论值和模拟值。理论和模拟结果表明三角型压电复合悬臂梁在最优层合厚度比下的最大电压输出约为5V,其谐振频率约为62Hz。

The theoretical equations for voltage output of the triangle composite piezoelectric cantilever is deduced in view of shear strain, and the equi-strength hypothesis is verified by theoretical analysis and numerical simulation. The modal characteristics of triangle composite piezoelectric cantilever is analyzed by ANSYS to determine the influence pattern of the ratio of laminated thickness on the intrinsic frequency. The theoretical and simulation values of the voltage output have been compared after deducing the theoretical equations for voltage output of the triangle composite piezoelectric cantilever and the conclusion is that the maximum voltage output is around 5 V at its natural frequency of around 62 Hz under the most appropriate thickness ratio..