车辆作用下钢-混凝土组合简支梁动力特性

Dynamic characteristics of steel-concrete composite simply supported beam under vehicles

首先,在考虑组合梁结合面剪切滑移效应的情况下,推导了车辆作用下钢-混组合梁的刚度分布函数。然后,采用待定系数表达组合梁和车辆的振动位移函数。进而基于矩阵传递法的基本思想,根据变形协调及力的平衡条件,建立了以待定系数表达的整个车-组合梁振动系统的振动方程,根据该振动方程可以计算出车辆作用下钢-混凝土简支梁的自振频率和振型。最后,采用有限元方法验证了本文方法的有效性和可靠性。

In this paper, first, the stiffness distribution function of steel-concrete composite beam under vehicles is derived, in which the effect of share slip of the composite beam is considered. Then, the undetermined coefficients are used to express the vibration functions of the composite beam and the vehicles. Further, based on the matrix transfer method, the vibration equation of the vehicle-beam vibration system expressed by the undetermined coefficients is established using the deformation compatibility and the force equilibrium condition. The natural frequencies and mode shapes of the steel-concrete simply supported beam under vehicles can be calculated by this vibration equation. Finally, the validity and reliability of the presented method are verified by finite element method.