外激励下压电球壳的球对称稳态响应分析

Spherical-Symmetric Steady-State Response of Piezoelectric Spherical Shell Under External Excitation

对压电球壳空间球对称稳态响应问题进行了研究· 考虑空间球对称压电材料 ,不计体力和自由电荷 ,在球坐标下利用弹性理论 ,由压电材料的本构方程、几何方程和运动方程导出了外激励作用下位移、应力、应变、电势、电位移和电场强度各量的稳态解 ,并对带压电激励和感应层的弹性球壳的球对称响应问题进行了求解· 该结果可以给结构的空间球对称动力控制问题提供良好的理论依据 ,为日后对于一般性的空间动力问题的研究提供参考·

Spherical_symmetric steady_state response problem of piezoelectric spherical shell in the absence of body force and free charges is discussed. The steady_state response solutions of mechanical displacement, stresses, strains, potential and electric displacement were derived from constitutive relations, geometric and motion equations for the piezoelectric medium under external excitation (i.e. applied surface traction and potential)in spherical coordinate system. As an application of the general solutions, the problem of an elastic spherical shell with piezoelectric actuator and sensor layers was solved. The results could provide good theoretical basis for the spherical_symmetric dynamic control problem of piezoelectric intelligent structure. Furthermore, the solutions can serve as reference for the research of general dynamic control problem.