人行桥的竖向人致振动

运用双自由度并联模型对静态人体的竖向人致振动问题进行有限元分析.在一阶对称振型中,弹簧质量模型的周期随着刚度K1和K2的增大而逐渐减小,但总大于附加质量模型的周期;同时又随着质量m1和m2的减小而逐渐减小,但也总大于空桥模型的周期;且由于人体与桥梁跨中运动方向相同,因此人体刚度的存在降低了弹簧质量模型的刚度.在二阶对称振型中,刚度K2和质量m2的变化导致了某些振型的出现和消失.进而可以得出结论：附加质量模型相比弹簧质量模型而言,在结构设计方面将偏于不安全;此外,双自由度并联模型中的质量刚度比值较小的自由度对结构振动将起主导作用.

Vertical human-induced vibration of pedestrian bridge

The double degrees-of-freedom（DOFs）parallel model is adopted to analyze static vertical human-induced vibration with the finite element analysis（FEA）method.In the first-order symmetric vibration mode,the periods of the spring-mass model gradually decrease with the increase in K1 and K2,but they are always greater than the period of the add-on mass model.Meanwhile,the periods of the spring-mass model decrease with the decrease in m1 and m2,but they are always greater than the period of the hollow bridge model.Since the human＇s two degrees-of-freedom vibrate in the same direction as that of the bridge mid-span,the existence of human＇s rigidity leads to the reduction in the rigidity of the spring-mass model.In the second-order symmetric vibration mode,the changes of rigidity K2 and mass m2 result in the disappearance or occurrence of some vibration modes.It can be concluded that compared with the spring-mass model,the results of the add-on mass model lean to lack of safety to the structure;besides,the DOF with a smaller ratio of mass to rigidity plays the chief role in the vibration of the structure.