基于模型降阶压电柔性结构动力响应分析.pdfVIP

第 26 卷第 7 期 Vol.26 No.7 工 程 力 学 2009 年 7 月 July 2009 ENGINEERING MECHANICS 22 文章编号：1000-4750(2009)07-0022-06 基于模型降阶的压电柔性结构动力响应分析 * 张京军， 何丽丽，高瑞贞 (河北工程大学土木工程系，河北，邯郸 056038) 摘 要：用 ANSYS 软件对压电柔性结构建模，并计算其模态圆频率，按基于 H2 范数的空间模型降阶方法提取所 需模态，应用 D 优化设计准则确定压电元件的最优位置，避免了布置的随机性，有效的减少了传感器/驱动器的 个数而不会影响控制效果。最后以压电悬臂梁为例给出了系统的阶跃响应曲线，说明了此方法较常规的模态截断 法更具优越性。 关键词：压电柔性结构；模态截断；模型降阶；D 优化准则；ANSYS 软件 中图分类号：TU311.3 文献标识码：A THE DYNAMICAL RESPONSE ANALYSIS OF PIEZOELECTRIC FLEXIBLE STRUCTURES BASED ON MODEL REDUCTION * ZHANG Jing-jun , HE Li-li , GAO Rui-zhen (College of Civil Engineering, Hebei University of Engineering, Handan, Hebei 056038, China) Abstract: The paper builds the model of piezoelectric flexible structures and calculates the mode frequencies using ANSYS software, and then, extracts the required modes by the method of model reduction based on the spatial H2 norms of modes. The optimal location of the piezoelectric patch is determined by applying the D-optimal design principle, which avoids the location’s randomicity as well as reduces the number of sensors/actuators needed to keep the controlling effect. Finally, the paper takes a piezoelectric cantilever beam as an example and calculates the step response curve of the system. The results show that this method generates better predictions than the ordinary modes truncation. Key words: piezoelectric flexible structures; modes truncation; model reduction; D-optimal design principle; ANSYS software 近年来，压电智能结构与振动主动控制技术的 够精度的适合控制的模型。为此，模型降阶是柔性 结合为柔性结构