组合梁滑移和剪切变形双重效应的有限元分析

根据最小势能原理和变分法,定量研究组合梁界面滑移对构件性能的影响。滑移增大结构曲率,降低构件刚度,增加附加弯矩,从而引起挠度增大。建立考虑滑移效应和剪切变形双重作用下挠度和滑移控制微分方程。求得集中荷载条件下挠度和滑移的解析表达式。在解析表达式的基础上推导考虑双重效应的组合梁单元刚度矩阵。

Finite Element Analysis of Effects of Both Composite Beam Displacement and Shear Deformation

The influence of the slip displacement of the composite beam is studied and the differential governing equations of composite beam is presented based on the minimum potential energy theory and variation method. The slip displacement increases the curvature,reduces the stiffness, increases the additional moment and consequently leads the increase of deflection. The differential formula of flexibility and displacement under the action of both shear deformation and slip is established. The solution expression of the concentrated load flexibility and displacement is obtained. On the basis of the solution expression, we deduce the composite beam unit stiffness matrix of the dual effects of the displacement.