Effects of anti-symmetric nonlinear viscous damping on the force transmissibility of multi-degree of freedom structures  

作　　者：Zhike Peng,1, ) and Zhiqiang Lang2 1)State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China 2)Department of Automatic Control and Systems Engineering, University of Sheffeld Mappin Street, Sheffeld, S1 3JD, UK 

出　　处：《Theoretical & Applied Mechanics Letters》2011年第6期63-68,共6页力学快报（英文版）

基　　金：supported by the National Science Fund for Distinguished Young Scholars (11125209);the National Natural Science Foundation of China (10732060, 10902068);the EPSRC (UK)

摘　　要：In the present study, the concept of the output frequency response function is applied to theoretically investigate the force transmissibility of multi-degree of freedom (MDOF) structures with a nonlinear anti-symmetric viscous damping. The results reveal that an anti-symmetric nonlinear viscous damping can significantly reduce the transmissibility over all resonance regions for MDOF structures while it has almost no effect on the transmissibility over non-resonant and isolation regions. The results indicate that the vibration isolators with an anti-symmetric damping characteristic have great potential to overcome the dilemma in the design of linear viscously damped vibration isolators where an increase of the damping level reduces the force transmissibility over resonant region but increases the transmissibility over non-resonant regions.In the present study, the concept of the output frequency response function is applied to theoretically investigate the force transmissibility of multi-degree of freedom (MDOF) structures with a nonlinear anti-symmetric viscous damping. The results reveal that an anti-symmetric nonlinear viscous damping can significantly reduce the transmissibility over all resonance regions for MDOF structures while it has almost no effect on the transmissibility over non-resonant and isolation regions. The results indicate that the vibration isolators with an anti-symmetric damping characteristic have great potential to overcome the dilemma in the design of linear viscously damped vibration isolators where an increase of the damping level reduces the force transmissibility over resonant region but increases the transmissibility over non-resonant regions.

关 键 词：nonlinear damping force transmissibility vibration isolation volterra series 

分 类 号：TB535[理学—物理]