一、前言在弹性基础梁习用的計算理論方面,可归納为如下二类:一类是假設地基单位面积上的反力与地基沉陷成正比(p=ky),即著名的溫克尔假設;另一类是假設地基为半无限平面或空間,按照梁的变位与地基沉陷保持相等的条件,求得所需地基反力.前一类方法計算虽較簡便,伹其基本假設比較粗略,所得的成果尚不够理想,故現代不少学者已較多地致力于后一类方法的研究.对于后一类方法,由于数学上的一些困难尚未完全克服,或者运算本身过于繁复,故在实际应用中,一般都采用近似解法,其中最 I. INTRODUCTION In the calculation theory of the conventional flexible beam, it can be classified into the following two categories: One is the assumption that the reaction force per unit area of ​​the foundation is proportional to the foundation settlement (p=ky), ie the famous Winkel assumption The other is assuming that the foundation is a semi-infinite plane or space, and the required foundation reaction force is obtained according to the condition that the beam’s displacement and the foundation’s subsidence are equal. The calculation of the former methods is relatively simple, and the basic assumptions are relatively rough. The results obtained are still not ideal enough. Therefore, many modern scholars have devoted more efforts to the research of the latter type of methods. For the latter methods, because some difficulties in mathematics have not been completely overcome, or the operations themselves are too complicated, In practical applications, approximate solutions are generally used.