一种3层组合悬臂梁的理论分析  

Theoretical analysis of a cantilever beam composed of three-layers

作　　者：詹春晓[1] 刘一华[1] 

机构地区：[1]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）》2010年第10期1531-1535,共5页Journal of Hefei University of Technology：Natural Science

基　　金：安徽省自然科学基金资助项目(090414157)

摘　　要：文章基于平面假设,对一种由不同材料组成的3层组合悬臂梁进行了理论分析,给出了组合梁的位移和应力计算公式,所得到的结果可以很容易退化为双层组合悬臂梁和单层悬臂梁的情况;通过2个算例表明,理论计算结果与电测法实验结果和有限元数值分析结果均吻合较好,说明所得到的理论分析结果是正确的;讨论了各层的高度和间距对组合梁位移和应力的影响,并就间距为零、材料和层高相同的3层组合悬臂梁的位移和应力与总高度相同的单层悬臂梁的位移和应力进行了比较。A three-layer cantilever beam made of dissimilar materials is analyzed theoretically based on the plane cross-section assumption,and the displacement and stress formulae of the beam are obtained.The obtained solution can easily degenerate into those of the cantilever beam composed of two-layers and single-layer.Two examples show that the theoretical results coincide well with the experiment results obtained by the strain gage method and the numerical results of the finite element method,which implies the correctness of the theoretical solution obtained in this paper.The influences of the layer heights and the distances between the layers on the displacements and stresses of the composite cantilever beam are discussed.The displacement and stress of the three-layer cantilever beam made of the same material with the same layer height but without distances between the layers are compared with those of the single-layer one with the same total height.

关 键 词：不同材料 组合悬臂梁 位移 应力 

分 类 号：O341[理学—固体力学]