轴对称三维弹性力学的一个精确解

AN EXACT SOLUTION OF AXISYMMETRIC PROBLEMS BY THREE-DIMENSIONAL ELASTICITY

本文采用三维调和函数在轴对称情况下的一般解,利用三维弹性理论中一些物理量的调和性质,直接从位移函数出发,给出了空间轴对称问题的精确解形式。并针对厚板弯曲问题,建议了一个具体分析过程。从而回避了传统的寻求应力函数的复杂运算。

In this paper, by employing the solutions for the three-dimensional harmonic problems and taking advantage of harmonic feature of some physical quantities,the author gives the exact solution for the spatial axisymmetric problem. A procedure is suggested to deal with the axisymmetric bending problem of thick circular plates. There for, the complicated calculations for the stress functions are not nesseary.