双层高阶组合梁的界面摩擦效应  

Effects of Interfacial Friction on Two-Layer Higher Order Composite Beams

作　　者：何光辉[1,2] 欧阳煜[2] 杨骁[2] 

机构地区：[1]浙江海洋大学港航与交通运输工程学院,浙江舟山316022 [2]上海大学土木工程系,上海200072

出　　处：《上海交通大学学报》2016年第11期1724-1731,共8页Journal of Shanghai Jiaotong University

基　　金：国家高技术研究发展计划(863)项目(2009AA032303-2)

摘　　要：为了更真实地描述组合梁的力学行为,提出了一种同时考虑梁的轴向和横向高阶变形的运动学假定.基于提出的高阶梁模型,得到了考虑界面不可穿透性、界面摩擦效应和非线性剪力键的双层组合梁模型静力分析的修正能量驻值原理.利用修正能量驻值原理,推导了该非线性组合梁模型的混合型高阶有限单元.在线性假定范围内对比分析了基于高阶梁理论、平面应力模型和Timoshenko梁理论的组合梁有限元应力分析,验证了高阶梁模型的可靠性;考察了界面不可穿透性与界面摩擦效应对组合梁静力行为的影响.数值结果表明:提出的高阶模型较经典梁模型更逼近于平面应力模型;界面不可穿透性与摩擦对组合梁静力行为具有显著影响.In order to formulate the composite beams more realistically, a type of higher order beam kine- matic assumption taking into account both the axial and transversal higher order deformation was pro- posed. Based on the proposed higher order beam model, a modified stationary value principle of potential energy （MSP） to govern the composite beams was obtained, where the impenetrability of the interface, the effect of interracial friction, and the nonlinear shear connectors were considered. Then, a hybrid finite ele- ment was formulated using the MSP, and the reliability of the present composite model was verified through the comparison of stress analyses among the results generated by the proposed model, the plane stress model and the Timoshenko composite beam model, within the linear range. Finally, the influences of the interfacial friction and impenetrability on the static mechanical behavior of composite beams were in- vestigated. Numerical results show that the proposed higher order composite beam model approaches bet- ter to the plane stress model than do the classic models. The interracial impenetrability and friction have significant effects on the static analysis of composite beams.

关 键 词：高阶梁理论 组合梁 接触非线性 混合型有限单元 准静态分析 

分 类 号：TU323.3[建筑科学—结构工程] TU398.9