摘要
介绍了一种求解任意弹性梁的新方法。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,并利用边界条件和约束处的变形协调条件确定约束反力和变形常数(左端面的挠度和转角),对由固定和活动铰链支座、径向和角度弹性支承以及固定端等支承形式任意组合而成的,具有任意支承沉降的,承受任意载荷(集中力、集中力偶和均布力)的,具有任意阶梯形状的静定或超静定弹性梁具有普遍的适用性。该方法可以方便、准确地确定任意梁在支座处的约束反力以及任一截面的挠度和转角等参数,可用于复杂梁的计算机分析、优化设计和计算机辅助设计。
A new method for arbitrary 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 support reactions and deformation constants-deflection and slop of the left end are determined with boundary conditions and deformation conditions of the beams. This method can be used for statically determinate beams or statically indeterminate beams arbitrarily made up of different kinds of supports: hinged support, movable support, fixed support, elastic support and clearance support, borne different kinds of loads: concentrated force, concentrated moment and uniform load, and had arbitrary stepped shapes, can determine its supporting reactions and deflection and slope at any section easily and accurately. It has practical value in computer analysis, optimum design and CAD for complicated stepped beams.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2004年第12期71-74,共4页
Journal of Mechanical Engineering
关键词
任意梁
约束力
弯曲变形
普遍化方法
<Keyword>Arbitrary beam Support reaction Bending deflection General method
