考虑层间滑移效应的组合梁解析计算

Closedform Solution of Composite Beam Considering Interfacial Slip Effects

摘要:

将双层组合梁的接触面模拟成Goodman弹性夹层,用Goodman弹性夹层法分析双层组合梁在弹性工作阶段的滑移、内力及挠度与荷载之间的关系.分别针对简支梁、悬臂梁在多种荷载作用下,根据边界条件计算出梁在该荷载约束条件下的内力、滑移和挠度分布规律,通过“滑移附加弯矩”引入层间相对滑移对组合梁的影响.该理论公式既能描述组合梁的界面滑移规律,又可以计算界面滑移对组合梁变形挠度及截面应力分布的影响.利用通用有限元软件对组合梁的界面滑移与变形进行了有限元分析,验证了解析计算结果.所得的理论计算公式物理意义明确,简化了组合梁结构截面应力分布和变形挠度的计算.

Abstract:

Based on Goodman model,which is used for simulating the contact surface between beams,this paper presents an analysis of the relationship interfacial slip of composite beam,internal force,deflection and load in elastic state.For the simplysupported and cantilever beams subjected to variety of loads,the impacts on deformation due to the interfacial slip are considered through the “additional slip bending moment”.This theoretical formula can describe the law of slip,deflection and sectional stress distribution.The closedform solutions are then validated by means of finite element analysis.All the theoretical formula in the paper which reflects the structural mechanism can simplify calculation of interfacial slip effects of composite beam.