叠层深梁的精确解  

An exact solution of deep laminated beams

作　　者：高荣誉[1] 范家让[2] 

机构地区：[1]安徽建筑工业学院土木工程学院,安徽合肥230022 [2]合肥工业大学土木与水利工程学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2009年第5期738-741,753,共5页Journal of Hefei University of Technology：Natural Science

基　　金：安徽省科技厅科研资助项目(02021033)

摘　　要：从弹性力学的基本方程出发,抛弃任何有关应力和位移模式的假定,导出梁的状态方程,采用Cayley-Hamilton定理,有效处理重特征值问题,得出任意高跨比叠层深梁的精确解,并给出数值结果。On the basis of elasticity, the state equation of elastic beams is established, and no assumptions of displacement and stress models are made. By using the Clayey-Hamilton theorem, repeated eigenvalues are dealt with effectively, and the exact solution is presented for laminated beams with arbitrary depth-span ratio. Numerical results are given.

关 键 词：叠层深梁 CAYLEY-HAMILTON定理 状态方程 精确解 

分 类 号：TU323.3[建筑科学—结构工程]