【摘要】 有限分析法是近年来发展起来的一种新的数值方法,该方法与有限差分法和有限单元法是不同的,有限分析法的基本思想是利用局部分析解建立计算格式,因而是一种更好的数值逼近。本文用有限分析法试算了矩形截面杆的扭转问题,并将该方法与加权残数法相结合,进一步求解了任意非矩形截面(如圆,椭圆,三角形)杆的扭转问题。计算结果表明,该方法具有精度高,计算简便等优点。更多还原

【Abstract】 This paper attempts to solve the problem of rectangular bars torsion by means of the Finite Analytic Method(FAM), and associates FAM with the boundary collocation approach of weighted residuals method. Thus, FAM can also be used to solve the torsional problem of bars of various cross sections besides the rectangular. The calculating results show that this approach has the advantages of high accuracy and calculating simplicity.更多还原