西北地震学报2011，Vol.33Issue(z1)：94-98,5.
考虑水平力作用的弹性地基梁位移及内力解析解
An Analytical Solution of Beam on Elastic Foundation Subjected to Horizontal Force
摘要
Abstract
Considering the bearing characteristics of beam on elastic foundation subjected to horizontal force, a series of horizontal springs are diverted to the face between beam bottom and foundation for surmounting the shortage of Winkler foundation model which ignores the tangential interaction between the beam and foundation. The horizontal spring reaction are assumed to be proportional to the relative tangential displacement. As the geometric equation and linear-elastic constitutive equation of beam have been presented based on the basic principle of elasticity mechanics, the analysis model is built and the governing differential equations about normal and tangential deflections of beam in small defromation condition are derived. The differential equations are solved by using differentiator series method with the help of boundary and continuity conditions, the analytical solutions of displacement and internal forces of beam on elastic foundation subjected to horizontal force are deduced. At last, on the base of examples, the validity and rationality of analytical solution are verified and some influence parameters including the tangential reaction coefficient kx are discussed. The results can be used as reference for engineering design.关键词
弹性地基梁/Winkler地基模型/解析解/水平力Key words
Beam on an elastic foundation/Winkler foundation model/Analytical solution/Horizontal force分类
建筑与水利引用本文复制引用
马缤辉,赵明华,张玲,雷勇..考虑水平力作用的弹性地基梁位移及内力解析解[J].西北地震学报,2011,33(z1):94-98,5.基金项目
国家863计划项目(2006AA11Z104) （2006AA11Z104）
国家自然科学基金(51078138) （51078138）
湖南大学博士学位论文选题资助项目. （）
