智能桁架结构机电耦合有限元分析与实验研究

Electromechanical Coupled Finite Element Analysis and Experimental Study on Intelligent Truss Structure

从压电弹性体的本构关系和机电耦合变分原理出发，建立了智能桁架结构的机电耦合有限元动力方程。由此推导出智能桁架结构的动态响应与压电主动构件输入电压之间的机电耦合传递函数，并给出结构模态参数识别方法，提出了利用压电主动构件作为智能桁架结构内激励源的结构模态测试新理论。最后，用文中的分析方法建立了一个三维智能桁架结构的动力学模型，有限元计算与实验结果的一致性很好。

Based on the constitutive equations of piezoelectric elasticity and electromechanical coupled variation principle,the finite element formulae are presented for modeling the electromechanical coupled dynamic characteristics of intelligent truss structures.Moreover,the electromechanical coupled transfer functions are derived to express the relationship between the input voltage of piezoelectric actuators and the dynamic responses of intelligent truss structures.Then,a new modal test approach,in which the piezoelectric actuators of intelligent truss structures are used as internal excitation sources,is proposed to extract modal parameters of intelligent truss structures.The presented analysis methods are employed in modeling of a 3 dimension intelligent truss structure.The results of finite element calculation are in good agreement with the experimental ones.