热机电耦合板壳的动力学分析及主动控制  

Dynamics analysis and the active control of piezothermoelastic plates and shells

作　　者：孙晓洁[1] 姚林泉[1] 闫浩[1] 朱忠奎[1] 

机构地区：[1]苏州大学城市轨道交通学院,江苏苏州215021

出　　处：《振动工程学报》2015年第2期217-226,共10页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(11172192);浙江省重中之重"近海冲击与安全"项目开放课题项目(zj1107)

摘　　要：采用八节点实体壳单元、电势沿厚度方向二次分布的压电单元以及等参热单元,为克服梯形自锁、厚度自锁以及剪切自锁,采用ANS和杂交应力元法,基于Hellinger-Reissner广义变分原理建立了热机电耦合作用下的压电板壳动力学有限元方程。根据所建立的有限元方程分别对静态和动态问题进行计算,验证了模型具有相当高的有效性和精确性。同时验证了热流和电载荷联合作用对整片和分片铺设压电片结构的静动态特性的影响,在现有假设的前提下,热流作用仅影响机械场的载荷向量,而电场影响机械场的载荷和刚度向量。最后采用常增益负速度反馈控制方法对热机电耦合压电智能结构进行有效的主动振动控制。进一步引入"位移反馈"建立新的控制模式,消除了温度场效应所引起的平衡位置的偏移。An eight-node solid-shell element,a nonlinear distributed electric potential element and an isoparametric thermal ele-ment have been used to formulate the coupled thermo-piezoelectric-mechanical model of plates and shells based on the Hell-inger-Reissne variational principle.Hybrid stress and assumed natural strain are adopted to immune to shear,membrane,trap-ezoidal,thickness lockings.According to the present model,the static and dynamic problems of overall and distributed piezoe-lectric sensor/actuator are calculated.The numerical results show that the proposed model has well effective and accurate.The effect of environmental factors such as electric,thermal load can be validated by the related examples in which thermal load on-ly effects mechanical load and electric load effects both mechanical load and stiffness.Then the active control of piezother-moelastic systems is obtained by the method of negative velocity feedback.Further,modify feedback control method with dis-placement feedback added is provided in order to eliminate the gap caused by thermal load.

关 键 词：弹性振动 压电结构 热机电耦合 负速度反馈控制 应力杂交元 

分 类 号：O326[理学—一般力学与力学基础] TB381[理学—力学]