【摘要】 本文根据弹性力学关于应力函数与翘曲函数的基本理论,应用有限元法与有限差分法对非圆截面柱体抗扭断面系数的计算提出了较为完善的方法.首先用有限元法通过应力函数求解;再用有限元法通过翘曲函数求解,最后用有限差分法通过应力函数求解.对这几种方法进行了比较.更多还原

【Abstract】 Based on stress functions and warping functions as put forth by the theory of elasticity, the paper proposes a more perfect way of calculating torsional rigidity for non-circular cross-sections by means of the finite elements and finite differences. Solutions were first found by finite elements with the help of stress functions, then by finite elements aided by warping functions, and finally by finite differences with stress functions. A comparison of the solutions is shown.更多还原