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压电智能结构振动主动控制及优化配置研究

Research on Active Vibration Control and Optimal Placement of Piezoelectric Smart Structures

【作者】 宋媚婷

【导师】 洪明; 崔洪宇;

【作者基本信息】 大连理工大学 , 船舶与海洋结构物设计制造, 2011, 硕士

【摘要】 舰船主要受到螺旋桨、主机、波浪和风等激励源的作用,在这些激励的作用下,极易使舰船产生有害振动。有害振动影响舰船隐身性、安全性和舒适性。因此,对舰船结构振动主动控制的研究是十分有意义的。本文就是研究舰船最基本结构--梁或板的振动主动控制问题。本文以Mindlin板弯曲理论和Hamilton原理为基础,考虑机电耦合特性,建立了四节点四边形压电层合单元有限元模型。采用线性二次型独立模态空间控制方法对压电智能结构振动进行主动控制,推导了状态空间控制方程,并基于精细积分法求解结构受控模态控制前后的响应。采用FORTRAN语言编写了建模及控制过程的程序。分别在简谐激励和舰船振动信号激励作用下,对非连续分布式压电悬臂梁进行了振动主动控制,从仿真结果可以看出,梁结构的振动被有效的抑制,验证了本文方法的有效性。对于压电片离散铺设的情况,联系本文控制方法,以线性二次型性能指标最小为优化准则,使用自适应进化策略优化算法对压电传感器/作动器的位置进行优化,将优化理论与有限元理论结合,编制相应的程序。优化仿真结果验证,优化所得压电片最优布置时的控制效果比非连续分布式铺设时的效果好。本文的研究为进行舰船结构振动主动控制提供理论基础。

【Abstract】 The vessel is mainly affected by the propeller, main engine, wave and wind force. In this environment, harmful vibration will occur easily, and it will affect the invisibility, safety and comfortableness of the vessel. So, it is very significant to research on the active vibration of ship structures. In this paper, the active vibration control is researched for beam or plate which is the basic component in ship.The finite element model of the 4-node quadrilateral piezoelectric composite structure is developed based on the Mindlin bending theory and Hamilton’s principle, considering the electric and mechanical properties. An Independent Modal Space Control (IMSC) technique based on Linear Quadratic Regulator (LQR) method is adopted to carry out the active vibration control of piezoelectric smart structures, control equation in state space is derived and the High Precise Direct (HPD) integration method is used to calculate the response of the structure’s controlled modal before and after control. The corresponding programs are composed in FORTRAN. Active vibration control for a discontinuous distributed piezoelectric cantilever, which is subjected to harmonic and the vessel’s vibration signal excitation, is used in simulation examples, the vibration of the cantilever is suppressed effectively, and the method in this paper is verified to be effective. For the situation that piezoelectric patches are laid discretely, taking the control method into account, Linear Quadratic Regulator performance index is used as optimal criteria, and adaptive evolutionary strategy method is adopted as optimal algorithm. Combining optimal theory with finite element theory together, the corresponding program is composed. The optimal example result shows that the control effect of optimal placement is better than the control effect of discontinuous distributed placement. The researches in this paper provide a theoretical basis for active vibration control of vessel structure.

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