随机参数智能桁架结构振动主动控制研究
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摘要
随机参数压电智能桁架结构振动主动控制是目前结构设计与控制研究领域中的重要课题。本文针对随机参数压电智能桁架结构开展了结构动力分析、主动杆优化配置和结构振动主动控制研究。在考虑结构材料的物理参数(质量密度和弹性模量)为随机变量的情况下，对结构进行了基于概率的动力特性分析；在考虑结构材料的物理参数、外加荷载和闭环控制力均为随机变量的情况下，对结构进行了动力响应分析。以直接输出速度反馈作为闭环控制律，基于最大耗散能准则，建立了以主动杆配置位置和控制系统增益为设计变量，具有动力响应(应力响应和位移响应)可靠性约束的压电智能桁架结构主动杆优化配置的数学模型。最后，通过数值算例验证了文中建立的动力特性分析模型、动力响应分析模型和主动杆优化配置模型的正确性及可行性；通过计算机仿真，表明了对结构振动主动控制的有效性。
Active vibration control for piezoelectric intelligent truss structures with random parameters is an important task in the field of engineering structural research, study and control today. In this paper, the research of structural dynamic analysis, the optimization of active bars placement and the active vibration control for piezoelectric structure are studied. Considering the randomness of physics parameters of structural material (mass density and elastic module), the problem of the structural dynamic characteristic analysis based on probability is studied. The problems of dynamic response analysis of closed loop control system based on reliability for the intelligent truss structures with random parameters were studied, in which the randomness of physics parameters of structural material and applied loads and control forces are considered. Firstly, for the intelligent structure's active bars, a constant output velocity feedback control law is dissipation energy due to control action and the optimal mathematical model with the reliability constraints on dynamic stress and displacement was built. Several numerical examples are present to illustrate the correctness and practicability of model of dynamic characteristic analysis, dynamic response analysis and optimization of active bars' location built in this paper. The validity of active vibration control for piezoelectric structure with random parameters is demonstrated by means of the computer simulation. And some significant conclusions and results are obtained.
Active vibration control for piezoelectric intelligent truss structures with random parameters is an important task in the field of engineering structural research, study and control today. In this paper, the research of structural dynamic analysis, the optimization of active bars placement and the active vibration control for piezoelectric structure are studied. Considering the randomness of physics parameters of structural material (mass density and elastic module), the problem of the structural dynamic characteristic analysis based on probability is studied. The problems of dynamic response analysis of closed loop control system based on reliability for the intelligent truss structures with random parameters were studied, in which the randomness of physics parameters of structural material and applied loads and control forces are considered. Firstly, for the intelligent structure's active bars, a constant output velocity feedback control law is dissipation energy due to control action and the optimal mathematical model with the reliability constraints on dynamic stress and displacement was built. Several numerical examples are present to illustrate the correctness and practicability of model of dynamic characteristic analysis, dynamic response analysis and optimization of active bars' location built in this paper. The validity of active vibration control for piezoelectric structure with random parameters is demonstrated by means of the computer simulation. And some significant conclusions and results are obtained.
引文
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[21]K. Hiramoto,H. Doki & G. Obinata. Optimal placement for active vibtation control using explicit solution of algebraic Riccati equation to "H∞,H2,matrix, closed-loop". Journal of sound and vibration, 2000, 29(5): 1057-1075
[22]J.Tang, T. Liu & K.W. Wang. Semiactive and active-passive hybrid structural damping treatments via piezoelectric materials. The shock and vibration digest, 2000, 32(3): 189-200
[23]Robert C.Wetherhold & Osama. J. Aldrakaihem. Bending and twisting vibration xontrol of flexible-structures using piczoelectric materials. The shock and vibration digest, 2001, 33(3): 187-197
[24]Michael L. Fripp and Mauro J. Atalla. Review of modal sensing and actuation techniques. The shock and vibration digest, 2001, 33(1): 3-14
[25]J.Oh. S. Poh, M. Ruzzene and A. Baz. Vibration control of beams using electro-magnetic compressional damping treatment. Journal of vibration and acoustics, 2000, 122(3): 235-243
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[27]Chang-Ho Hong and Inderjit Chopa. Modeling and validation of induced strain actuation of composite coupled plates. AIAA Journal, 1999, 37(3): 372-377
[28]Kagaiva Y, Tsuchiya T. Finite element simulation of dynamic responses of piezoelectric actuators. Journal of sound and vibration, 1996, 191(4): 519-538
[29]杨胜敏，陶宝祺，秦太验．压电作动器用于振动主动控制技术的研究．航空学报，1997，18(1)：100-103
[30]王忠东，陈塑寰．智能结构有限元动力模型的建立及主动振动控制和抑制．计算力学学报，1998，15(1)：38-43
[31]王中东，关伟，陈塑寰．智能结构振动控制中执行元件最优位置的选择．振动工程学报，1999，12(4)：576-582
[32]马爱军，刘守荣，陈塑寰．压电框架单元及其在结构振动控制中的应用．宇航学报，1999，20(1)：33-40
[33]王存堂，唐建中，费鸣，史维祥．主动振动控制实现中传感／作动元件配置问题的全局优化方法研究．应用力学学报，1998，15(1)：55-59
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[35]李俊宝，吕刚，张景绘．智能桁架结构振动阻尼控制研究．西安交通大学学报，1998，32(10)：75-78
[36]王宗利，林启荣，刘正兴．压电智能梁振动控制的优化设计．力学季刊，2000，21(4)：454-461
[37]任建亭，闫云聚，姜节胜．分布参数压电层合梁的振动主动控制．机械强度，2000，22(4)：303-306
[38]蔡炜，李山青，杨耀文，刘正兴．压电层合板振动控制的有限元方法．固体力学学报，1998，19(1)：45-51
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