传递矩阵法在浮桥动力响应分析中的应用

Application of transfer matrix method in analysis on dynamic responses of floating bridge

为了分析作用在浮桥上的移动荷载对浮桥连接接头动态响应的影响,选取带式浮桥和分置式浮桥2种桥型,将桥节和桥脚舟简化为刚体,连接接头用弹性铰来模拟。应用传递矩阵方法,建立了桥节、桥脚舟和连接接头的传递矩阵并组装成传递方程进行编程计算。分别对带式浮桥和分置式浮桥在不同荷载移动速度和不同连接接头刚度时的动态响应进行了计算,得到了2种浮桥跨中接头处的位移时间历程曲线和受力时间历程曲线。数值计算结果表明,随着荷载移动速度的增加和连接接头刚度的减小,浮桥的变形和连接接头处的受力都在增加。为了保障浮桥通载的安全性,应控制浮桥的通载速度和提高连接接头的刚度,以减小浮桥的变形和接头受力。

To analyze the influences of the moving loads to dynamic responses of connected joints of floating bridges,ribbon bridge and separated bridge were selected,bridges and boats modeled as rigid-bodies and connected joints modeled by elastic joints.Transfer matrix method was used to establish the transfer matrixes of bridges,and boats and connected joints were assembled to transfer equations for programs.The dynamic responses of the ribbon bridge and separated bridge were calculated under different load velocities and the rigidities of the connected joints,and the displacement curves and force curves of the two floating bridges were obtained.The results of the numerical simulation show that the displacement of the floating bridges and the force of the connected joints increase with the increasing velocities of the moving load and the decreasing rigidities of the connected joints.Load velocity should be limited and the rigidity of the connected joints should be enhanced to decrease the displacement and the force for the security of the floating bridge with the moving loads.