复杂载荷变刚度静不定梁通用力学模型及变形方程  

General mechanics model and deformation equations of variable-stiffness statically indeterminate beam under complex load

作　　者：李学军[1] 刘义伦[2] 朱萍玉[1] 袁英才[2] 

机构地区：[1]湘潭工学院振动,冲击与诊断研究所,湖南湘潭411201 [2]中南大学机电工程学院,湖南长沙410083

出　　处：《机械设计》2002年第5期11-13,共3页Journal of Machine Design

摘　　要：对复杂载荷下变刚度静不定梁建立了一种通用力学模型 ,得出梁任一截面的弯矩方程。通过对弯矩方程的积分和积分后方程的递推 ,推导出梁任意截面的转角和挠度变形的一般方程 ,并给出工程计算实例。该方程易于采用计算机处理 。In this paper,a kind of general mechanics model of variable-stiffness statically indeterminate beam under complex load has been established,and the equations of bending moment at arbitrary section of the beam are obtained.The general equations of rotation angle and flexibility deformation at arbitrary section of beam were derived by means of the integral to bending moment equations and the iteration of the equations after integration.And the living computational example of engineering was given.These equations are easily processed by computers,thus provided a foundation for programmed solution of the variable-stiffness statically indeterminate beam under complex load.

关 键 词：复杂载荷 变刚度 静不定梁 力学模型 变形方程 

分 类 号：TU323.3[建筑科学—结构工程]