压电悬臂梁智能元数字仿真模型设计及分析

Digital simulation model design and analysis of piezoelectric cantilever beam smart elements

针对在薄壳结构上层合压电传感器与作动器的智能结构系统进行振动控制问题,提出了一种专用的数字电路化智能元仿真模型进行振动特性分析的新方法.以压电悬臂梁系统为例,利用有限差分方法将主体结构、压电传感信号及压电控制力矩的动力学偏微分方程转化为智能元差分方程;建立基于Newmark-β积分方法的智能元数学矩阵模型;在DSP数字电路系统上设计智能元仿真系统;对不同差分密度和积分时间步长下系统各个模态的输出特性进行了分析,并与相关文献中采用不同控制方法的模拟电路仿真结果进行了比较,取得了更精确的结果.该方法为压电结构系统的振动特性仿真分析提供了新途径.

According to the vibration control of piezoelectric laminated structronic thin shell system, a new method for vibration characteristic analysis by using special digital circuit model of smart elements was presented. By means of the finite difference discretization method, the dynamic partial differential equations of the cantilever beam, sensing signal and piezoelectric control moments were transformed to finite difference equations. Dynamics smart elements matrix model based on Newmark-β integration method was established. DSP circuits of smart element simulation systems were fabricated to simulate the output characteristics of the piezoelectric structronic cantilever beam systems under lower modes with different finite difference mesh elements and different integration time steps. The results with different control methods are more precise than that of the analog circuit model in relevant reference. This method provides a new approach for the vibration simulation analysis of piezoelectric structronic systems.