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

Abstract

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.

2010 MSC Number:

O343.1

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

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