ACTIVE CONTROL OF THE PIEZOELASTIC LAMINATED CYLINDRICAL SHELL’S VIBRATION UNDER HYDROSTATIC PRESSURE

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (2): 182-195.

ACTIVE CONTROL OF THE PIEZOELASTIC LAMINATED CYLINDRICAL SHELL’S VIBRATION UNDER HYDROSTATIC PRESSURE

李红云, 林启荣, 刘正兴, 王超

Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P.R.China

收稿日期:2000-05-23 修回日期:2002-09-20 出版日期:2003-02-18 发布日期:2003-02-18
通讯作者: CHEN Yu-shu
基金资助:
the National Natural Science Foundation of China (10132010);the National Defense' s Technical Application and Research Foundation of Marine industry on China (99J41.4.4)

ACTIVE CONTROL OF THE PIEZOELASTIC LAMINATED CYLINDRICAL SHELL’S VIBRATION UNDER HYDROSTATIC PRESSURE

LI Hong-yun, LIN Qi-yong, LIU Zheng-xing, WANG Chao

Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P.R.China

Received:2000-05-23 Revised:2002-09-20 Online:2003-02-18 Published:2003-02-18
Supported by:
the National Natural Science Foundation of China (10132010);the National Defense' s Technical Application and Research Foundation of Marine industry on China (99J41.4.4)

摘要/Abstract

摘要： The control of the piezoelastic laminated cylindrical shell’s vibration under hydrostatic pressure was discussed. From Hamilton’s principle nonlinear dynamic equations of the piezoelastic laminated cylindrical shell were derived. Based on which, the dynamic equations of a closed piezoelastic cylindrical shell under hydrostatic pressure are obtained. An analytical solution was presented for the case of vibration of a simply supported piezoelastic laminated cylindrical shell under hydrostatic pressure. Using veloctity feedback control, a model for active vibration control of the laminated cylindrical shell with piezoelastic sensor/actuator is established. Numerical results show that, the static deflection of the cylindrical shell can be changed when voltages with suitable value and direction are applied on the piezoelectric layers. For the dynamic response problem of the system, the larger the gain is, the more the vibration of the system is suppressed in the vicinity of the resonant zone. This presents a potential way to actively reduce the harmful effect of the resonance on the system and verify the feasibility of the active vibration control model.

Abstract: The control of the piezoelastic laminated cylindrical shell’s vibration under hydrostatic pressure was discussed. From Hamilton’s principle nonlinear dynamic equations of the piezoelastic laminated cylindrical shell were derived. Based on which, the dynamic equations of a closed piezoelastic cylindrical shell under hydrostatic pressure are obtained. An analytical solution was presented for the case of vibration of a simply supported piezoelastic laminated cylindrical shell under hydrostatic pressure. Using veloctity feedback control, a model for active vibration control of the laminated cylindrical shell with piezoelastic sensor/actuator is established. Numerical results show that, the static deflection of the cylindrical shell can be changed when voltages with suitable value and direction are applied on the piezoelectric layers. For the dynamic response problem of the system, the larger the gain is, the more the vibration of the system is suppressed in the vicinity of the resonant zone. This presents a potential way to actively reduce the harmful effect of the resonance on the system and verify the feasibility of the active vibration control model.

中图分类号:

O343.1

李红云;林启荣;刘正兴;王超. ACTIVE CONTROL OF THE PIEZOELASTIC LAMINATED CYLINDRICAL SHELL’S VIBRATION UNDER HYDROSTATIC PRESSURE[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(2): 182-195.

LI Hong-yun;LIN Qi-yong;LIU Zheng-xing;WANG Chao . ACTIVE CONTROL OF THE PIEZOELASTIC LAMINATED CYLINDRICAL SHELL’S VIBRATION UNDER HYDROSTATIC PRESSURE[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(2): 182-195.

参考文献

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ACTIVE CONTROL OF THE PIEZOELASTIC LAMINATED CYLINDRICAL SHELL’S VIBRATION UNDER HYDROSTATIC PRESSURE

ACTIVE CONTROL OF THE PIEZOELASTIC LAMINATED CYLINDRICAL SHELL’S VIBRATION UNDER HYDROSTATIC PRESSURE

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