Reducing force transmissibility in multiple degrees of freedom structures through anti-symmetric nonlinear viscous damping  

作　　者：Z.-K.Peng Z.-Q.Lang G.Meng S.A.Billings 

机构地区：[1]State Key Laboratory of Mechanical System and Vibration,Shanghai Jiao Tong University [2]Department of Automatic Control and Systems Engineering,University of Sheffield

出　　处：《Acta Mechanica Sinica》2012年第5期1436-1448,共13页力学学报（英文版）

基　　金：supported by the EPSRC (UK);the National Science Fund for Distinguished Young Scholars (11125209);the National Natural Science Foundation of China (10902068 and 51121063)

摘　　要：In the present study, the Volterra series theory is adopted to theoretically investigate the force transmissibility of multiple degrees of freedom （MDOF） structures, in which an isolator with nonlinear anti-symmetric viscous damping is assembled. The results reveal that the anti-symmetric nonlinear viscous damping can significantly reduce the force trans- missibility over all resonance regions for MDOF structures with little 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 solve the dilemma occurring in the design of linear viscously damped vibration isolators where an increase of the damping level reduces the force transmissibility over resonant frequencies but increases the transmissibility over non-resonant frequency regions. This work is an extension of a previous study in which MDOF structures installed on the mount through an isolator with cubic nonlinear damping are considered. The theoretical analysis results are also verified by simulation studies.In the present study, the Volterra series theory is adopted to theoretically investigate the force transmissibility of multiple degrees of freedom （MDOF） structures, in which an isolator with nonlinear anti-symmetric viscous damping is assembled. The results reveal that the anti-symmetric nonlinear viscous damping can significantly reduce the force trans- missibility over all resonance regions for MDOF structures with little 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 solve the dilemma occurring in the design of linear viscously damped vibration isolators where an increase of the damping level reduces the force transmissibility over resonant frequencies but increases the transmissibility over non-resonant frequency regions. This work is an extension of a previous study in which MDOF structures installed on the mount through an isolator with cubic nonlinear damping are considered. The theoretical analysis results are also verified by simulation studies.

关 键 词：Nonlinear viscous damping Force transmissibility - Vibration isolation Volterra series 

分 类 号：O328[理学—一般力学与力学基础]