横向可压缩电流变夹层梁的振动特性
Vibration analysis of electrorheological sandwich beams with transversely compressible core
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摘要: 讨论了电流变夹层梁在考虑电流变材料层横向可压缩时的动力学特性。在建模过程中将电流变材料视为可压缩的粘弹性材料, 假设电流变材料层的横向位移随厚度变化。基于一阶剪切变形理论和能量方法建立了电流变夹层梁的挤压-剪切动力学模型, 并采用有限元方法进行了离散求解。通过对悬臂梁的仿真和实验分析得出:在电流变夹层梁的振动过程中, 上、下约束层的横向位移并不完全相等, 在低频阶段相差不大, 但在高频阶段较为明显; 加大外加电场的强度, 可以减小横向位移的差值; 而电流变层厚度的增加, 将使横向位移的差值加大。Abstract: The dynamic characteristic of the elect rorheological ( ER) sandwich beams with a compressible core wasstudied. Assuming that the t ransverse displacement s vary with the thickness of the ER layer , a compressional-shearmodel was developed based on a first order shear deformation theory and the energy approach. Then the dynamicequations were solved by the finite element method. The result s show that the t ransverse displacement s of the topelastic layer and the bottom layer are different . The difference is small in the low-f requency range , but obvious inthe high-f requency range. Increasing the intensity of the applied electric field will decrease the difference. The thicker the ER layer , the larger the difference.