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 o...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.展开更多
基金This research is supported by National Natural Science Foundation of China(NNSFC)(Grant No.11771400)Science Foundation of Zhejiang Sci-Tech University(ZSTU)(Grant No.16062023-Y)。
基金supported by National Nature Science Foundation of China(NNSFC)(Grant No.11601485)Science Foundation of Zhejiang Sci-Tech University(ZSTU)(Grant No.16062023-Y)
文摘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.