非均匀弹性地基上梁的弯曲

Bending of beams on non-uniform elastic foundations

采用伽辽金法,对非均匀Winkler地基上梁的弯曲进行了分析,将原问题转化为求解代数方程组的问题.数值计算表明,理论是正确的且有很好的适用性.当非均匀地基基床系数k1与k2差异较大时,均匀与非均匀Winkler地基上梁的弯曲有明显的差异,在设计时应引起重视.

Galerkin Method was used to analyze the bending of beams on non-uniform Winkler foundations.The original problems were transformed into solving the problems of algebraic equations.Numerical calculation results show the theory is correct and has very good applicability.And when the fonudation coefficient k1 and k2 of non-uniform foundations have great differences,the bending of beams on uniform Winkler foundations and the bending of beams on non-uniform Winkler foundations have obvious differences,those differences should be paid attention to in the design of beams.