压电智能桁架的灵敏度分析与优化设计

在压电桁架结构的有限元分析方法基础上，考虑电荷载和机械荷载联合作用的机电耦合效应，给出了压电智能桁架的位移和自振频率对常规尺寸设计变量和形状设计变量的灵敏度计算公式，增加了电压这一类新的设计变量，给出了位移对电压的灵敏度计算方法。在此基础上实现了通过优化压电主动桁架的电压进行变形控制的方法，并在JIFEX软件中实现了压电桁架的灵敏度分析与优化设计。文中给出的数值算例验证了算法和程序的有效性。

OPTIMUM DESIGN AND SENSITIVITY ANALYSIS OF PIEZOELECTRIC INTELLIGENT TRUSSES

This paper studies the problem of optimum design on structural stiffness and free vibration frequency of piezoelectric intelligent trusses. On the basis of finite element analysis method and taking into consideration the mechanical electric coupling effect under electric load and mechanical load, a computational formula of sensitivities of structural displacement and free vibration frequency with respect to size and shape design variables have been proposed. A calculation method of displacement sensitivity with respect to the electric voltage, a new kind of design variable, is also established. A new method for structural deformation control by optimizing the voltages of piezoelectric active truss is implemented. The numerical methods of optimum design and sensitivity analysis for piezoelectric truss structures are implemented in JIFEX software. Numerical examples given in the paper demonstrate the effectiveness of the methods and the program.