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非文克尔假定的弹性地基上梁的计算是一个复杂的问题,正确的计算是比较困难的,日莫契金提出的计算法是用解算多次超静定系统来代替复杂数学处理;郭步诺夫-巴萨得夫的方法是用多项式来表示反力的函数。实质上这两种方法都是近似法,其正确程度前者决定于超静定的次数,后者决定于多项式的项数。我国学者钱令希教授用二项式来表示反力的函数的方法,在一定条件范围内也可得出相当的近似答案。 本文作者在这里提出的方法是预先假定反力的分布规律、在一定的条件下得到相当满意的结果,并且使问题的解答得到进一步的简化。
The computation of the beam on the elastic foundation not assumed by Winkker is a complicated problem, and the correct calculation is more difficult. The calculation method proposed by the Mozambique is to solve the complicated static mathematics process by solving multiple statically indeterminate systems; Guo Fannov’s method is to use a polynomial to express the function of the reaction force. In essence, these two methods are approximate methods. The correct degree is determined by the number of statically indeterminate and the latter by the number of polynomial terms. Professor Qian Lingxi of our country uses the binomial formula to express the function of the reaction force, and can also obtain a comparable approximate answer within a certain range of conditions. The method proposed by the author of this paper is to presuppose the distribution law of the reaction force and get satisfactory results under certain conditions, and the solution to the problem is further simplified.