基于Hankel和Laplace变换,对电冲击下的电致伸缩圆柱的瞬态应力和位移分布进行了研究,给出实心圆柱的瞬态位移和应力场的半解析解.数值算例结果表明,在外电场冲击条件下,圆柱内部的应力和位移将会明显增大,并呈周期性变化,该理论研究和数值分析结果可为电致伸缩材料器件的设计提供参考.
The response histories and distributions of transient stresses, displacement of asymmetric electrostrictive structures subjected to a sudden electrical shock were studied. Exact solutions for transient displacement and stress fields in the solid cylinder were determined by using Laplace and Hankel transform techniques. Numerical results were also presented and graphically shown. It is found that the transient displacement and stress would be significantly large in magnitude when electrical loading is applied. Furthermore, the technique for solving the asymmetric problem is applicable to the cylindrical problem of other materials.