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针对悬架车辆与桥梁的非线性耦合作用,提出一种新的四自由度非线性悬架半车模型的振动微分方程;采用基于威尔逊-θ法开发的微分方程求解程序求解车辆振动响应;利用有限元方法,得出了不同桥面不平度桥梁在不同车速作用下的挠度动态响应规律。数值分析表明:车辆悬架系统的特性对桥梁动荷载系数影响较大,在文中设定的非线性悬架参数车辆作用下,考虑车辆的非线性悬架系统使得简支梁的动荷载系数显著减小;连续梁的动荷载系数普遍大于相应车速下线性悬架车辆作用下的动荷载系数,尤其在桥面状况较差且货车通常运行的低速时较明显,非线性悬架系统车辆会加剧连续梁耦合振动。
Aiming at the nonlinear coupling between suspension vehicle and bridge, a new vibration differential equation of semi-vehicle model with four degrees-of-freedom nonlinear suspension is proposed. The differential equation solution based on Wilson-θ method is used to solve vehicle vibration response. Finite element method, the dynamic response of different bridge deck under different vehicle speeds is obtained. Numerical analysis shows that the characteristics of the vehicle suspension system have a great influence on the dynamic load coefficient of the bridge. Under the nonlinear suspension parameters set forth in the paper, the dynamic load coefficient of the simply supported beam is significant considering the vehicle’s nonlinear suspension system The dynamic load coefficient of continuous beam is generally greater than the dynamic load factor of linear suspension vehicle under the corresponding vehicle speed, especially when the condition of bridge deck is poor and the truck runs normally at low speed, and the nonlinear suspension vehicle will be aggravated Continuous beam coupling vibration.