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一、前言根据文克尔假定来计算弹性地基梁,利用正弦级数及多项式来解算也是便当的,我们只要找出弹性地基梁的一般弯曲方程(适合任何类型的载重),同时使级数收歛得快,在计算过程中不需要算出许多载常数及形常数,也不需要制成表,在下面导出的基本算式中,其级数项只需取n=1,2,3,就可以得到足够的精确度,因此基础梁的弯距、切力及变位等很易求得。在没有表格或表格不完善,或者为了校核,上面提出的方法是有效办法之一。在弹性基础梁的振动计算中如果也採用文克尔假定,那末本文所提供的方法也完全适用,因为弹性基础梁的振动微分方程也是四阶的,现本文不再详细研究。
I. INTRODUCTION Calculating elastic foundation beams based on the Winkler hypothesis, using sine series and polynomials to solve is also convenient. We only need to find the general bending equation of elastic foundation beam (suitable for any type of load), and make the series. The convergence is fast. In the calculation process, many load constants and shape constants do not need to be calculated, and no tables are required. In the basic equations derived below, the series items only need to take n=1, 2, and 3, Get enough accuracy, so the base beam bending distance, cutting force and displacement are easily obtained. In the absence of a form or form that is incomplete or for verification purposes, the method proposed above is one of the effective methods. If we also use the Winkler assumption in the vibration calculation of the elastic foundation beam, then the method provided by this paper is also fully applicable, because the vibrational differential equation of the elastic foundation beam is also fourth-order, and we will not study it in detail in this paper.