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电场及双向压缩下含压电层的对称层合圆柱壳体的动力稳定性
引用本文:朱军强,沈亚鹏,杨新迈.电场及双向压缩下含压电层的对称层合圆柱壳体的动力稳定性[J].航空学报,2003,24(1):21-27.
作者姓名:朱军强  沈亚鹏  杨新迈
作者单位:西安交通大学,机械结构强度与振动国家重点实验室,陕西,西安,710049
基金项目:国家自然科学基金资助课题 (5 0 13 5 0 3 0 ,10 13 2 0 10 )
摘    要: 应用一阶剪切变形理论, 分析了简支边界有限长含压电层的对称层合圆柱壳及壳块在谐变电场及双向周期荷载作用下的动力稳定性问题, 并用模态展开的方法得出一阶动力不稳定区。选择几种模态为例说明材料的压电性、壳体几何参数和加载形式对不稳定区的影响。结果表明此类压电复合结构的动力不稳定区主要由结构自身刚度及外载所决定, 而受外加电场及压电效应影响很小。

关 键 词:动力稳定性  压电材料  层合壳  一阶剪切变形理论  Mathieu方程  
文章编号:1000-6893(2003)01-0021-07
修稿时间:2001年12月11

Dynamic Instability of Laminated Piezoelectric Shell Under the Action of Electric Field and Two-Way Compressive Loads
ZHU Jun qiang,SHEN Ya peng,YANG Xin mai.Dynamic Instability of Laminated Piezoelectric Shell Under the Action of Electric Field and Two-Way Compressive Loads[J].Acta Aeronautica et Astronautica Sinica,2003,24(1):21-27.
Authors:ZHU Jun qiang  SHEN Ya peng  YANG Xin mai
Institution:The State Key Laboratory of Mechanical Structural Strength and Vibration; Xi'an Jiaotong University; Xi'an 710049; China
Abstract:Based on the first order shear deformation theory, dynamic instability of finite length symmetrical laminated cylindrical shells and panels sandwiched between piezoelectric materials with simply supported boundary conditions is analyzed under the action of electric field and two way periodic compression. The first instability region by applying the unimodel approximation method is derived. Several mode shapes are selected to explain the effects of the piezoelectricity of materials, geometric parameters of shells as well as loading form on instability regions. The results show that stiffness and loads mainly decide the instability region of this sort of laminated piezoelectric structure, but the influence of the electric field and piezoelectric effect is puny.
Keywords:dynamic instability  piezoelectric material  laminated shell  first  order shear deformation theory  Mathieu's  equation
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