不确定性列车移动载荷激励下桥梁的振动分析
Vibration Analysis of Bridges Excited by Uncertain Train Moving Loads

通过引入区间过程模型，提出了一种针对受列车移动载荷激励的桥梁的不确定振动分析方法，可以得到列车经过时桥梁振动挠度响应的上下边界曲线。将单节列车用两个等间隔轮载荷的子系统来模拟，一个包含前轮部分，另一个包含后轮部分。将桥梁简化为简支梁模型，用区间过程来描述列车对桥梁的不确定性移动载荷激励。基于区间过程模型和模态叠加理论，得到桥梁挠度响应的中值函数和半径函数，从而得到挠度响应的上下边界函数。通过数值算例说明本文方法的有效性。
By introducing the interval process model, this paper proposes an uncertain vibration analysis method for bridges subjected to train moving loads to obtain the upper and lower boundary curves of vibration deflection response of the bridges. Each train is modeled as two subsystems of wheel loads of constant intervals, one containing the front wheel section and the other consisting of the rear wheel section. The bridge is simplified to a simply supported beam model, and the interval process model is used to describe the uncertainty of the moving load flow excitation of the train applied to the bridge. By combining the interval process model and the modal superposition vibration analysis theory, the middle function and radius function of deflection response of the bridge can be obtained, based on which the upper and lower boundary functions of the deflection response can be obtained. Finally, the effectiveness of the proposed method is illustrated by investigating several numerical examples