摘要
工程中有一些结构可将其简化为含有弹性支撑的悬臂梁结构,采用解析法与模态叠加法相结合推导了含有一个弹性支撑的压电层合悬臂梁的主动控制方程和传感方程,采用线性二次型模态空间控制法设计控制器,对分布有一个弹性支撑的压电层合悬臂梁的振动响应进行了控制,并分析了弹性支撑在梁上的位置对控制效果的影响,为舰船上类似结构的振动主动控制提供一定参考。
Some structures in ship can be simplified into elastic beams with elastic spring supports The analytical method and modal superposition method are combined to form the active control equation of the piezoelectric laminated beam with an elastic support. Based on the Linear Quadratic modal space control method, the controller is designed to control the piezoelectric laminated cantilever with a spring. This paper provides a useful reference for the active vibration control of the similar structures of the ship.
引文
[1]Zhuang Wang,Ming Hong,Junchen Xu,Hongyu Cui.Analytical and Experimental Study of Free Vibration of Beams Carrying Multiple Masses and Springs.Journal of Marine Science and Application.2014,13(1):32-40.
[2]Banerjee J R.Free vibration of beams carrying spring-mass systems-A dynamic stiffness approach[J].Computers and Structures,2012,21-26:104-105.
[3]Wu J S,Chou H M.Free vibration analysis of a cantilever beam carrying any number of elastically mounted point masses with the analytical and numerical combined method[J].Journal of Sound and Vibration,1998,213:317-332.
[4]Benjeddou A.Advances in piezoelectric finite element modeling of adaptive structural elements:a survey[J].Computers and Structures,2000,76:347-363.
[5]Bailey T,Hubbard J E.Distributed Piezoelectric-Polymer active vibration control of a cantilever beam[J].Guidant and control,1985,8(5):605-611.
[6]Vasques C M A,Rodrigues J D.Active vibration control of smart piezoelectric beams:Comparison of classical and optimal feedback control strategies[J].Computers and Structures,2006,84:1402-1414.
[7]Preumont A.vibration control of active structures,An Introduction[M].3rd Edition,Berlin:Springer,2011.
[8]QIU Z C,HAN D J.Active vibration control of a flexible beam using a non-collocated acceleration sensor and piezoelectric patch actuator[J].Journal of Sound and Vibration,2009,326:438–455.
[9]顾仲权,马扣根,陈卫东.振动主动控制[M].北京:国防工业出版社,1998.GU Zhongquan,MA Kougen,CHEN Weidong.Active Vibration Control[M].Beijing:National Defense Industry Press,1998.