钢-混凝土组合梁的温度响应分析

根据钢-混凝土组合梁的受力特征,建立了混凝土板、钢梁上翼板、钢梁下翼板的纵向位移函数和钢与混凝土之间的相对位移函数.考虑了组合梁沿梁高线性分布的温度梯度作用,由弹性力学中应力与应变的关系,推导出组合梁的势能总方程.基于能量泛函变分原理,得出了组合梁在温度效应下的控制微分方程及相应的边界条件.若只考虑挠度位移函数,则该方程可退化为普通梁的变形微分方程.运用该方法可以求解变温、温差和温度梯度作用下组合梁的温度效应问题.

Temperature responses of steel-concrete composite girders

Based on the mechanics characteristic of steel-concrete composite girders,the slip between steel girder and concrete slab and the longitudinal displacement function that include concrete plane,the above flange and bottom flange of steel girders were built.Considering the action of temperature diversities and temperature grades,the total potential energy function of composite girders was deduced due to the relationship of elastic stress and strain.Finally,on the base of energy functional variation principle,the governing differential equations and boundary condition under temperature effect were obtained.If only considering the deflection of the displacement function,the equation can degenerate into the deformation differential equations of ordinary beam.Therefore,taking advantage of this method can solve the problem of variable temperature,temperature and temperature gradient under the action of the composite beam temperature effects.