钢-混凝土组合梁考虑剪力滞和滑移的一阶自振频率

First Order Natural Vibration Frequency for Steel-Concrete Composite Beams Considering Influence of Shear Lags and Slips

根据结构中钢梁与混凝土板的相对滑移、钢梁翼缘和混凝土板的剪力滞效应以及结构的挠度情况,假设结构的纵向位移函数,得到结构的能量泛函;基于能量变分原理,推导结构的运动微分方程;针对简支钢-混凝土组合梁,考虑简谐自由振动的特征,得到了有阻尼振动的一阶自振频率;依此分析了剪力滞和滑移以及结构的几何参数对频率修正系数的影响.

Considering the following conditions for steel-concrete composite beam: the relative slip between the steel beam and the concrete plate, the shear lag effect between the flange of the steel beam and the concrete plate, and the deflection of the structure, the energy functions of the structure are obtained on basis of the assumption of the longitudinal displacement functions. Based on the energy variational principle, the vibration differential equa-tions of the structures are derived. The first order natural vibration frequency for simply supported steel-concrete composite beams is obtained by considering the harmonic characteristics of free vibration, and the influence of shear lags and slips as well as geometric parameters of the structures on the frequency modifying coefficient are analyzed.