椭圆形等直杆自由扭转的加权残值法力学分析

Mehod of Weighted Residuals Analysis of Elliptic Equivalent Cross Section Steam Free Twist

针对椭圆形等直杆的自由扭转问题，建立了加权残值压力学分析的基本理论，并用最小二乘法推导出了应力计算的公式。经实验检验，理论值与实验值能较好吻合，表明该理论也可用于解决椭圆等直杆的约束扭转问题。

Devoted to the question about elliptic equivalent cross section steam free twist, the paper establishes the basic theory about stress analysis by method of weighted residuals and the stress formula by least squares method. The theory and its application in practice yield a better combination, as is shown by experiment, and the theory can settle the problem of elliptic steam restrain twist.