圆截面压电曲杆在冲击载荷作用下的动力响应

Dynamic Response of 3D Piezoelectric Circular Bent Rods under Impulsive Loading

对三维压电圆截面曲杆受到冲击荷载时的动力响应进行了研究.在正交曲线坐标系中建立了压电圆环形曲杆中波传播的空间运动方程.通过Fourier级数展开对冲击应力进行模拟,结合已得到的频散关系和边界条件求出径向位移响应的波幅系数,再通过频散方程确定了各位移电势幅值系数之间的关系,得到曲杆受冲击荷载作用下的波幅系数.应用本构关系得到所需的应力、电势及位移响应.

The dynamic response of 3D piezoelectric circular bent rods under impulsive loading was studied. The equations of wave propagation along 3D piezoelectric cylindrical bent rods in an orthogonal curvilinear coordinate system were established. The characteristics of the dispersion of the wave propagation were calculated based on the given boundary conditions. The Fourier series were used to simulate the stress pulse and the ampli- tude coefficients were obtained. Then by considering the constitutive relations and the shape functions, other response components, like stresses, potential and displacements, were calculated.