考虑界面不可压的高阶组合梁静力弯曲——位移法与混合型的有限元分析  

Static bending of higher order composite beams considering interfacial incompressibility:displacement and hybrid-based finite element analysis

作　　者：何光辉[1] 汪德江[1] 杨骁[1] 

机构地区：[1]上海大学土木工程系,上海200072

出　　处：《浙江大学学报（工学版）》2015年第9期1716-1724,共9页Journal of Zhejiang University：Engineering Science

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

摘　　要：为了真实地描述组合梁的界面相互作用和各子梁的力学行为,提出一种考虑界面不可压缩性与各子梁高阶位移的双层组合梁模型.根据最小势能原理和广义最小势能原理,得到高阶组合梁静力分析的位移法和混合型有限元方程.讨论变分原理类型和基本未知量的插值阶次对组合梁位移和内力收敛性能的影响.对比基于所提出的高阶组合梁模型、Reddy高阶组合梁模型、Newmark模型和平面应力模型的简支组合梁的静力分析结果,验证所建立的高阶模型的合理性.分析组合梁界面横向不可压缩性对其挠度的影响.结果表明:与Reddy模型相比,所提出的高阶模型更精细地刻画了组合梁结构;混合型单元具有抗滑移锁死性能;组合梁的界面不可压缩性对其挠度分析的影响不可忽略.A two-layer composite beam model was proposed to formulate the interfacial interaction and the mechanical behavior of each sub-layer realistically.The model incorporated the higher order displacement of each sub-layer and the incompressibility of each sub-layer＇s interface.Displacement and hybrid-based finite element（FE）equations for static analysis were respectively obtained according to the principle of minimum potential energy（PMPE）and the generalized PMPE.The convergence performances of the proposed FE on the displacement and the internal force were discussed,resulting from the variational principle type and the interpolation order of the basic unknowns.A comparison was made among the static analysis results of simply supported composite beams generated by the proposed higher order beam model（HOBM）,Reddy HOBM,Newmark＇s model and plane stress model to verify the reliability of the proposed model.The influence of interfacial incompressibility on the composite beam deflection was analyzed.The results show that the proposed HOBM may depict the composite beam structure more finely than the Reddy＇s mode.The hybrid element is free of slip locking,and the interfacial incompressibility has unnegligible influence on the deflection analysis.

关 键 词：高阶梁理论 组合梁 非线性有限元 混合列式 界面不可压缩性 

分 类 号：TU323.3[建筑科学—结构工程] TU398.9