Investigation on a quasi-zero-stiffness vibration isolator under random excitation

• Autorzy: Wang Y. , Li S. , Cheng C.

Identyfikatory

DOI

10.15632/jtam-pl.54.2.621

• Języki publikacji: EN

Abstrakty

EN

The dynamic response and isolation performance of a Quasi-Zero-Stiffness (QZS) vibration isolator using inclined springs as negative stiffness correctors under random excitation are presented in this paper. The probabilistic linearization method is employed to determine the dynamic response of the QZS vibration isolator and compared with the exact solution based on the Fokker-Planck-Kolmogorov (FPK) equation and the equivalent linearization method. Two performance indexes (Mean Square Relative Displacement (MSRD) and Mean Square Acceleration (MSA)) are considered to evaluate the isolation performance of the QZS vibration isolator under random excitation and compared with the equivalent linear vibration isolator. The results show that the MSRD of the QZS vibration isolator is always lower than the equivalent linear vibration isolator, while the MSA of the QZS vibration isolator can be larger or lower than the equivalent linear vibration isolator based on the values of damping ratio and spectral density of the random excitation

Słowa kluczowe

EN

vibration isolator; quasi-zero-stiffness; random excitation; dynamic analysis; performance analysis

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 2
• Strony: 621--632
• Opis fizyczny: Bibliogr. 26 poz., rys.

Twórcy

autor

Wang Y.

• College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China

autor

Li S.

• College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China

autor

Cheng C.

• College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China

Bibliografia

• 1. Alabuzhev P., Gritchin A., Kim L., Migirenko G., Chon V. And Stepanov P., 1989, Vibration Protecting and Measuring Systems with Quasi-Zero Stiffness, Hemisphere Publishing, Taylor & Francis Group, New York
• 2. Cai G.Q., Lin Y.K., 1988, A new approximate solution technique for randomly excited non-linear oscillators, International Journal of Non-Linear Mechanics, 23, 5, 409-420
• 3. Carrell A., Brennan M.J., Waters T.P., 2007, Static analysis of a passive vibration isolation with quasi zero-stiffness characteristic, Journal of Sound and Vibration, 301, 3, 678-689
• 4. Caughey T.K., 1963, Equivalent linearization techniques, The Journal of the Acoustical Society of America, 35, 11, 1706-1711
• 5. Elishakoff I., Cai G.Q., 1993, Approximate solution for nonlinear random vibration problems by partial stochastic linearization, Probabilistic Engineering Mechanics, 8, 3, 233-237
• 6. Hao Z., Cao Q., 2014, A novel dynamical model for GVT nonlinear supporting system with stable-quasi-zero-stiffness, Journal of Theoretical and Applied Mechanics, 52, 1, 199-213
• 7. Harris C.M., Piersol A.G., 2002, Shock and Vibration Handbook, McGraw-Hill, New York
• 8. Ibrahim R.A., 2008, Recent advances in nonlinear passive vibration isolators, Journal of Sound and Vibration, 314, 3, 371-452
• 9. Kirk C.L., 1988, Non-linear random vibration isolators, Journal of Sound and Vibration, 124, 1, 157-182
• 10. Klein G.H., 1964, Random excitation of a nonlinear system with tangent elasticity characteristics, The Journal of the Acoustical Society of America, 36, 11, 2095-2105
• 11. Kovacic I., Brennan M.J., Waters T.P., 2008, A study of a nonlinear vibration isolator with a quasi-zero stiffness characteristic, Journal of Sound and Vibration, 315, 3, 700-711
• 12. Le T.D., Ahn K.K., 2011, A vibration isolation system in low frequency excitation region using negative stiffness structure for vehicle seat, Journal of Sound and Vibration, 330, 26, 6311-6335
• 13. Lin Y.K., 1967, Probabilistic Theory of Structural Dynamics, McGraw-Hill, New York
• 14. Liu X., Huang X., Hua H., 2013, On the characteristics of a quasi-zero stiffness isolator using Euler buckled beam as negative stiffness corrector, Journal of Sound and Vibration, 332, 14, 3359-3376
• 15. Liu X., Huang X., Hua H., 2014, Performance of a zero stiffness isolator under shock excitations, Journal of Vibration and Control, 20, 14, 2090-2099
• 16. Lyon R.H., 1960, On the vibration statistics of a randomly excited hard-spring oscillator, The Journal of the Acoustical Society of America, 32, 6, 716-719
• 17. Lyon R.H., 1961, On the vibration statistics of a randomly excited hard-spring oscillator II, The Journal of the Acoustical Society of America, 33, 10, 1395-1403
• 18. Polidori D.C., Beck J.L., 1996, Approximate solutions for non-linear random vibration problems, Probabilistic Engineering Mechanics, 11, 3, 179-185
• 19. Polidori D.C., Beck J.L., Papadimitriou C., 2000, A new stationary PDF approximation for non-linear oscillators, International Journal of Non-linear Mechanics, 35, 4, 657-673
• 20. Robertson W.S., Kinder M.R.F., Cazzolato B.S., Zander A.C., 2009, Theoretical design parameters for a quasi-zero stiffness magnetic spring for vibration isolation, Journal of Sound and Vibration, 326, 1/2, 88-103
• 21. Shaw A.D., Neild S.A., Wagg D.J., 2013, A nonlinear spring mechanism incorporating a bistable composite plate for vibration isolation, Journal of Sound and Vibration, 332, 24, 6265-6275
• 22. Shin K., 2014, Experimental investigation of the vibration transmissibility of a magnet-spring vibration isolator under random excitation, Journal of Vibroengineering, 16, 4, 1745-1752
• 23. Wang Y., Li S.M., Li J.Y., 2014, Response and performance of a nonlinear vibration isolator with high-static-low-dynamic-stiffness under shock excitations, Journal of Vibroengineering, 16, 7, 3382-3398
• 24. Wu W.F., Lin Y.K., 1984, Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations, International Journal of Non-Linear Mechanics, 19, 4, 349-362
• 25. Xu D., Yu Q., Zhou J., 2013, Theoretical and experimental analyses of a nonlinear magnetic vibration isolator with quasi-zero-stiffness characteristic, Journal of Sound and Vibration, 332, 14, 3377-3389
• 26. Zhou N., Liu K., 2010, A tunable high-static low-dynamic stiffness vibration isolator, Journal of Sound and Vibration, 329, 9, 1254-1273

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.