载荷特征对桥梁振动分析的影响

Influence of Load Characteristics on Vibration Analysis of Bridges

刮过的阵风,通过的行人和车辆等因素,都会引起桥梁的振动。如果振动过大,则会引起桥梁结构的大变形,从而造成桥梁结构的局部损坏,缩短其安全服役寿命,甚至会出现坍塌等严重的事故,造成人员伤亡和重大财产损失。本文结合《理论力学》、《材料力学》和《振动力学》的基本分析原理,通过对一类桥梁进行受力分析、物理建模和数学建模分析,获取了一个通用的桥梁振动数学模型,并对比分析了外界载荷为非线性和线性时对方程的显著影响。因此,在设计桥梁之初,就必须结合实地情况来预估会由非线性振动引起的危害,并进行有效的控制。

The gusts that are blown, the pedestrians and vehicles that pass through, can cause vibration of the bridge. If the vibration is too large, it will cause large deformation of the bridge structure, resulting in partial damage of the bridge structure, shortening its safe service life, and even serious accidents such as collapse, resulting in casualties and major property losses. Combining the basic analysis principles of Theoretical Mechanics, Mechanics of Materials and Vibration Mechanics, this paper obtains a general mathematical model of bridge vibration by stress analysis, physical modeling and mathematical modeling of a class of bridges. The significant influence of the external load on the equation is analyzed and compared. Therefore, at the beginning of the design of the bridge, it is necessary to combine the situation on the ground to estimate the hazard caused by nonlinear vibration and to carry out effective control.