悬臂梁大挠度问题的双参数摄动解  

Biparametric Perturbation Solutions of the Large Deflection Problem of Cantilever Beams

作　　者：何晓婷[1] 陈山林[1] 

机构地区：[1]重庆大学土木工程学院,重庆400045

出　　处：《应用数学和力学》2006年第4期404-410,共7页Applied Mathematics and Mechanics

摘　　要：利用拟线性分析方法中的一阶导数代换对基本方程进行了简化处理,将基本的微分积分方程转化为非线性代数方程组,并结合双参数摄动研究了悬臂梁的大挠度问题.与已有的研究结果比较表明:将拟线性方法用于研究悬臂梁的大挠度问题,计算较为简便,同时又具有良好的精度.The large deflection problem of cantilever beams was stndied by means of the biparametric perturbation method and the first order derivative substitution from pseudolinear analysis approach. This kind of substitution can transform the basic equation, an integral differential equation into a nonlinear algebraic ones thus simplify computational process. Compared with the present results, it indicates that the large deflection problem solved by using pseudolinear analysis can lead to simple and precise results.

关 键 词：悬臂梁 大挠度 拟线性 双参数摄动 

分 类 号：O343.5[理学—固体力学] O39[理学—力学]