摘要
给出了粘弹性基支粘弹性圆（环）形薄板的动力分析一般解法。利用弹性和粘弹性间的比拟关系及Ｂｅｓｓｅｌ－Ｋｅｌｖｉｎ函数理论，导出了拉氏象空间的单级数解，然后采用数值逆变换的方法，求得板的挠度、基支反力及弯矩并给出了一些数值计算结果。
In this paper,a general solution for dynamic analysis if viscoelastic circular (ring) thin plate rested on viscoelastic foundation is given. By use of the relationship of elastic-viscoelastic analogy and bessel-kelvin function theory, a single series solution in laplace image space is derived. Then, the deflection of plate, the reaction of foundation and the moment of plate are obtained by numerical inversion of the laplace transformation. Some numerical calculating results are also given.
关键词
粘弹性
拉氏象空间
薄板
动力分析
Visco-elastic
Laplace image space
Inverse translation
