等截面直杆扭转问题的进一步研究

A FURTHER RESEARCH ON THE TORSION PROBLEM OF A STRAIGHT BAR WITH UNIFORM CROSS SECTION

首先给出计算弹性矩形截面直杆扭转问题的一种新方法 ,并采用矩形膜振动位移函数来求解该问题的应力函数 .该方法简单易行、精度高 ,然后采用了特殊坐标变换式解决了求解任意多边形截面的等直杆扭转问题 ,使扭转问题处理统一化 ,便于应用 .以上两方面研究对工程结构计算都有很高的实用价值 .

This paper presents a New method of calculating torsion problem of a straight bar with rectangular cross section. The stress function is the displacement function of rectangular film in transverse Vibration. Coordinate-changing is used for solving the torsion problem of a straight bar with various cross sections. This method is simple for engineering calculating.