静水压力下压电弹性圆柱振动的主动控制

李红云; 林启荣; 刘正兴; 王超

静水压力下压电弹性圆柱振动的主动控制

基金项目: 国家自然科学基金资助项目(10132010);船舶工业国防科技应用、基础研究基金资助项目(99J41.4.4)

详细信息

作者简介:
李红云(1972- ),女,广东中山人,副教授,博士(E-mail:cmshen@public2.sta.net.cn).

中图分类号: O343.1
计量
- 文章访问数: 2211
- HTML全文浏览量: 100
- PDF下载量: 841
- 被引次数: 0
出版历程
- 收稿日期: 2000-05-23
- 修回日期: 2002-09-20
- 刊出日期: 2003-02-15

Active Control of the Piezoelastic Laminated Cylindrical Shell’s Vibration Under Hydrostatic Pressure

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

摘要

摘要: 对静水压力下压电弹性层合壳的振动控制进行了研究.首先利用Hamiltion原理推导出压电弹性层合壳的非线性动力基本方程,进一步得到了静水压力作用下封闭压电弹性层合壳的动力方程.对两端简支条件下的压电弹性圆柱壳的振动问题进行了求解,并基于速度反馈控制法得到了带压电感测层/激励层的层合圆柱壳的主动控制模型.相应的数值结果表明在静载的情况下,压电层上施加合适大小、方向的电压可以改变圆柱壳的静变形;对于系统的动力响应问题,速度反馈的增益越大,越能抑制系统在共振区的振动,验证了该控制模型抑制结构振动的有效性.
- 压电弹性 /
- 圆柱壳 /
- 振动控制 /
- 速度反馈 /
- 静水压力 /
- 感测层 /
- 激励层
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.
- piezoelastic /
- cylindrical shell /
- vibration control /
- velocity feedback /
- hydrostatic pressure /
- sensor layer /
- actuator layer

HTML全文

参考文献(15)

[1]	Clinton Y K,Li Y T,Grant P S.A review on the modeling of piezoelectric sensors and actuators incorporated in intelligent structures[J].Journal of Intelligent Material Systems and Structures,1998,9(1):3-19.
[2]	Tzou H S.Piezoelectric Shells(Distributed Sensing and Control of Continua)[M].Dordrecht:Kluwer Academic Publishers,1993.
[3]	Baumhanuer J C,Tiersten H F.Nonlinear electroelastic equations for small fields superposed on a bias[J].J Acoust Soc Amer,1973,54(4):1017-1033.
[4]	Pai P F,Nafeh A H,Mook D T.A refined nonlinear model of piezoelectric plate with integrated piezoelectric actuators and sensors[J].Internat J Solids Structures,1993,30(11):1603-1630.
[5]	Yu Y Y.On the ordinary,generalized,and pseudo-variational equations of motion in nonlinear elasticity,piezoelectricity and classical plate theories[J].J Appl Mech,1995,62(2):471-478.
[6]	Tzou H S,Bao Y.Nonlinear piezothermoelasticity and multi-field actuations,Part 1:nonlinear anisotropic piezothermoelastic shell laminates[J].Journal of Vibration and Acoustics,1997,119(3):374-381.
[7]	Tzou H S,Zhou Y H.Dynamics and control of nonlinear circular plates with piezoelectric actuators[J].J Sound Vibration,1995,188(2),189-207.
[8]	Donatus C D,Sergio F,Jorn S H.Stress stiffening effects in laminated beams with piezoelectric actuators[J].Journal of Intelligent Material Systems and Structures,1998,9(2):137-145.
[9]	Bao Y,Tzou H S,Venkayya V B.Analysis of nonlinear piezothermoelastic laminated beams with electric and temperature effects[J].J Sound Vibration,1998,209(3):505-518.
[10]	Cheng C Q,Shen Y P.Stability analysis of piezoelectric circular cylindircal shells[J].J Appl Mech,1997,64(4):847-852.
[11]	Tiersten H F.Linear Piezoelectric Plate Vibrations[M].New York:Plenum Publishers,1969.
[12]	Mitchell J A,Reddy J N.A refined hybrid plate theory for composite laminates with piezoelectric laminae[J].Internat J Solids Structures,1995,32(16):2345-2367.
[13]	Palazatto A N,Dennis S T.Nonlinear Analysis of Shell Structures[M].Washington D C:AIAA Pub,1992.
[14]	Li H Y,Lin Q R,Liu Z X,et al.Free vibration of piezoelastic laminated cylindrical shell under hydrostatic pressure[J].Internat J Solids Structures,2001,38(42/43):7571-7585.
[15]	Shen S P,Kuang Z B.An active control model of laminated piezothermoelastic plate[J].Internat J Solids Structures,1999,36(13):1925-1947.