周期性弹性支座上的无限长梁静力问题的精确解  

On Exact Solutions for an Infinite Uniform Beam with Periodic Elastic Supports under Arbitrary Loads

作　　者：蔡承武[1] 张焦宏 李鹰 

机构地区：[1]中山大学应用力学与工程系

出　　处：《中山大学学报（自然科学版）》1991年第1期1-6,共6页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金

摘　　要：基于无限长链式周期结构可以认为是相应的回转周期结构当子结构数目趋于无穷时的极限情形。本文应用U变换,得到了在任意载荷条件下封闭形式的精确解。对两种典型载荷,文中给出了解答的表达式;导出了近似模型的相对误差依赖于无量纲弹簧常数K的显式函数关系。The Static analysis of the infinite uniform beams resting on periodic elasticsupports and subjected to arbitrary loads is studied by the U transformationmethod. Thesystem considered can be regarded as a rotationally periodic structure with infinite number ofsubstructures. The closed form solutions for thecases of uniformly distributed and concentrated load acting on a substructure are found and compared with those obtained by the theory of the beams on elastic foundation. It is shown that the relative error is only dependent on the value ofthe nondimensional spring constant K.

关 键 词：弹性 支座 周期性 长梁 静力问题 

分 类 号：TU311.4[建筑科学—结构工程]