【摘要】 针对由各向同性弹性核和压电层组成的两层复合圆柱的旋转问题,给出了弹性力学解。先从压电层的静电平衡方程出发,得到含一个待定常数的电位移形式解,并由此分别给出弹性核和压电层的位移通解,然后利用力学和电学边界条件以及界面处的连续条件确定出所有各层中引入的待定常数,最终得到原问题的解。数值结果表明:当压电层的内外表面均接地时,压电层中的径向应力幅值随弹性核材料的杨氏模量增大而增大,而环向应力则正好相反。弹性核材料的泊松比及外加在压电层内外表面上的电势对旋转两层复合圆柱内的应力响应均有显著的影响。更多还原

【Abstract】 An elasticity solution was developed for the rotating infinite double-layered cylinder composed of an isotropic elastic core and a piezoelectric layer.The electric displacement expression including an undetermined constant of the piezoelectric layer was first obtained by virtue of the charge equation of electrostatics.Then the general solutions for the isotropic elastic core and the piezoelectric layer were derived respectively.All the unknown constants were determined by means of the boundary conditions and the continuity conditions and the analytical solution was finally obtained.The numerical results denote that if both the interior and exterior surfaces of the piezoelectric layer are electrically shorted,the amplitude of the radial stress in the piezoelectric layer grows gradually with the increase of Young’s modulus of the elastic core and that of the tangential stress is just the contrary.Poisson’s ratio of the elastic core and the amplitude of electric potential applied to the piezoelectric layer have important effects on the stress responses.更多还原