压电智能结构动力系统的伽辽金方法

A GALERKIN METHOD FOR MODELLING AN INTELLIGENT STRUCTURAL DYNAMIC SYSTEM WITH PZT SENSORS & ACTUATORS

由压电传感器、作动器和梁组成的机电耦合动力系统,本文提出了一个计算机数值模拟的伽辽金方法。从哈密顿原理出发,导出其状态方程,采用有限维样条函数逼近该动力系统的运动。算例与实验结果比较表明:本文提出的方法,对于机电耦合梁的振动控制分析是有效的。此方法也容易进一步推广到其他更为复杂的智能结构。

In this paper, a Galerkin method for modeling the dynamic system of a beam-type structure with PZT sensors and actuators is presented. Applying Hamilton principle, the static equation of the dynamic system is derived and piecewise splines are used to approximate the motion of the system. Numerical examples show that this proposed solution provides an efficent method not only for modelling the dynamic systems of the intelligent beam-type structure, but also may approximate with the dynamics of more complicated intelligent structures system with an extension of the technique.