摘要
本文给出了粘弹性基支粘弹性圆(环)形薄板准静态弯曲的一般解法.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,并给出了数值计算结果.
In this paper, a general solution for quasistatic bending of viscoelastic circular (ring) thin plate rested, on viscoelastic foundation is given. By use of the relationship of elastic-viscoelastic anology 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 transform. Some numerical calculating results are given also.
