边界元应力函数法解旋转体的扭转问题

A Boundary Integral Method of Elastic Torsion of a Shaft of Rotational Symmetry by Stress Function

摘要: 本文考虑旋转体在端部受有扭矩作用的弹性扭转问题。由调和函数φ/(r²)sin 2θ(其中φ为应力函数,r、θ、z 为圆柱坐标)出发,根据格林公式建立边界积分方程。在该方程中场变量为φ和1/(r²)(бφ)/(бn),在侧面上φ为常数,且与施加的扭矩有关,而后者恰为所需求的在旋转体侧面上的合剪应力。文末给出三个计算实例。

Abstract: The paper presents the solution of elastic torsion of axisymmetric bodies.Using the harmonic function and Green formula,the boundary integral equation is obtained in which the field variables such as stress function and total transverse stress on boundary are involved.Three test examples are given.