智能梁振动主动控制的广义位置函数法

研究了具有离散分布式压电传感器、执行器的智能梁，在外加电场作用下振动模态与外加电场之间的耦合关系，提出了智能梁主动控制的一种新的计算方法-广义位置函数法，并引入执行器位置函数的级数展开式，简化了计算，结果表明，智能梁振动控制效果与压电执行器长度、数目以及位置有密切的关系。

GENERALIZED LOCATION FUNCTION METHOD FOR VIBRATION CONTROL OF SMART BEAMS

Smart structure has arrested much attention in recent years because its adaptability and good functionality as incorporating sensors and actuators. Many researchers have put their mind to modeling and searching more easy calculation methods for smart structure. A new method of modeling and calculation for smart beam generalized location function method was built in this paper. The relation between control voltage and vibration modal of a smart beam with distributed piezoelectric sensors and actuators was presented. Generalized Location Function was applied to define the location of the piezoelectric sensors and actuators, and its series expansion function was used to simplify the process of computation. A simply supported beam was studied as an example. The results show that the control effect is mainly determined by the number, length and location of the actuators.