The force transmissibility of MDOF structures with a non-linear viscous damping device |
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| Authors: | Z.K. Peng Z.Q. Lang L. Zhao S.A. Billings G.R. Tomlinson P.F. Guo |
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| Affiliation: | aState Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, PR China;bDepartment of Automatic Control and Systems Engineering, University of Sheffield Mappin Street, Sheffield S1 3JD, UK;cDepartment of Mechanical Engineering, University of Sheffield Mappin Street, Sheffield S1 3JD, UK |
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| Abstract: | In the present study, the concept of the Output Frequency Response Function (OFRF), recently proposed by the authors, is applied to theoretically investigate the force transmissibility of MDOF structures with a cubic non-linear viscous damping device. The results analytically show that the introduction of cubic non-linear damping can significantly reduce the transmissibility over all resonance regions for a Multiple Degree of Freedom (MDOF) structure and at the same time leave the transmissibility over the isolation region virtually unaffected. The analysis also indicates that a strong linear damping may shift the system resonances and compromise the beneficial effects of cubic non-linear viscous damping on the force transmissibility of MDOF structures. This suggests that a less significant linear damping together with a strong cubic non-linear damping can be used in MDOF structures to achieve a desired vibration isolation performance. This research work has a significant implication for the design of viscously damped MDOF structures for a wide range of practical applications. |
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| Keywords: | Linear and non-linear viscous damping Transmissibility Frequency domain analysis Vibration isolation Volterra series |
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