【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.更多还原

【Abstract】 In order to formulate the composite beams more realistically,a type of higher order beam kinematic assumption taking into account both the axial and transversal higher order deformation was proposed.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 interfacial friction,and the nonlinear shear connectors were considered.Then,a hybrid finite element 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 investigated.Numerical results show that the proposed higher order composite beam model approaches better to the plane stress model than do the classic models.The interfacial impenetrability and friction have significant effects on the static analysis of composite beams.更多还原