具有摩擦力的变截面悬臂梁的反问题

The Inverse Problem of A Cantilever of Variable Cross Section With Fricative Forces

为了解决铁路道岔尖轨转换力的计算问题,本文提出一个具有摩擦力的变截面悬臂梁在荷载P_1和P_2作用下的反问题的力学模型和相应的计算机迭代方法。该方法对迭代初值不附加任何限制,而且收敛速度非常快。关于道岔尖轨转换力的大量计算实践表明,该方法是可靠的。

A mechanical model of the inverse problem of a cantilever, loaded by P_1 and P_2, of variable cross section with fricative forces is established and a computer iterative method for solving the above problem is put forward in this paper with a view to solving the problem of calculating the transforming forces of the points of switch. No restriction is attached to the iterative initial values for this method. In calculation it is found that the convergence is extremly fast. A great deal of calculafions to obtain the transforming forces of the points of switch prove that the method given in the paper is reliable.