厚壳三维分析的半解析解

本文对座标系三维弹性力学问题采用周向与径向解析,轴向离散的半解析数值方法。通过引入部分解析函数,将三维问题归结为一维离散化方程。这种方法能适应于一大类复杂的弹性力学问题,方法简单,计算工作量少。本文用这方法来分析厚壳的三维变形与应力规律,研究大厚跨比的强厚壳的三维弹性理论解,为建立可靠的强厚壳理论提供依据。

THREE-DIMENSIONAL ANALYSIS OF THICK SHELL BY SEMI-ANALYTICAL METHOD

In this paper, three-dimensional elasticity problem in cylindical coordinate system is solved by semi-analytical numerical method using the analytical function in radial and circular directions and discrete polynomial in axial direction. Then the three-dimensional problem could be reduced to one-dimensional discrete one by introducing partial analytical function. This method is suitable to solve a series of complicated elasticity projects with less coputation. The deformation and stress distributions and three-dimensional elasticity solution for strong thick shell with the thickness-span ratio greater than one third are also strong thick shell is also provided.