求解弹性梁的普遍化方法  

A GENERAL METHOD FOR ELASTIC BEAM ANALYSIS

作　　者：陈连[1] 王元文[1] 吴宗泽[2] 

机构地区：[1]连云港化工高等专科学校,连云港222001 [2]清华大学,北京100084

出　　处：《力学与实践》2002年第2期27-31,共5页Mechanics in Engineering

摘　　要：介绍了一种求解弹性梁的新方法．该方法利用奇异函数与拉普拉斯变换相结合的方法导出弹性梁弯曲变形的普遍表达式，并利用边界条件确定约束力，对具有任意支承形式、受力状况和阶梯形状的静定或超静定梁具有普适性．A new method for elastic beam analysis is presented. A general expression for determining deflections and slopes of elastic beams is developed using a method combining singularity functions with Laplace transformations, and the binding forces are determined with boundary condition of the beams. This method can be used for statically determinate beams or statically indeterminate beams with dif- ferent section shapes, boundary and loading condi- tions.

关 键 词：弹性梁 弯曲变形 约束力 奇异函数 拉普拉斯变换 超静定梁 

分 类 号：O343.2[理学—固体力学] TG512.3[理学—力学]