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Parameter identification of damping models in multibody dynamic simulation of mechanical systems

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Abstract

To reduce vibration and noise, a damping mechanism is often required in mechanical systems. Many types of dampers are currently used. In this paper, several typical damping models, i.e., structural damping, frictional damping, and viscoelastic damping, are illustrated, and their parameters are identified for multibody dynamic simulation. Linear damping, widely adopted for structural damping, is applied to beam deflection. Quadratic damping including air resistance is applied to plate deflection. To model stick phenomenon in mechanical dampers, a STV (stick-transition velocity) model was first introduced. To identify parameters, an optimization process is applied to the damping parameters. A new MSTV (modified stick-transition velocity) model is proposed for a friction damper. A modified Kelvin–Voight model is suggested for a rubber bushing model used in vehicle dynamics, and its parameters are identified. A modified Bouc–Wen model is also proposed; it includes the hysteretic behavior of an elastomer, and optimized results with parameter identification are compared to test results.

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References

  1. Bathe, K.J.: Finite Element Procedures. Prentice Hall, New York (1996)

    Google Scholar 

  2. Yoo, W.S., Lee, J.H., Park, S.J., Sohn, J.H., Dmitrochenko, O., Pogorelov, D.: Large deflection analysis of a thin cantilever beam: physical experiments and simulation using absolute nodal coordinate formulation. Nonlinear Dyn. 34, 3–29 (2003)

    Article  MATH  Google Scholar 

  3. Benfratello, S., Falsone, G., Muscolino, G.: Influence of the quadratic term in the along-wind stochastic response of SDOF structures. Eng. Struct. 18(9), 685–695 (1996)

    Article  Google Scholar 

  4. Yoo, W.S., Lee, J.H., Park, S.J., Sohn, J.H., Dmitrochenko, O., Pogorelov, D.: Large deflection analysis of a thin plate: computer simulations and experiments. Multibody Syst. Dyn. 11, 185–208 (2004)

    Article  MATH  Google Scholar 

  5. Do, N.B., Ferri, A.A., Bauchau, O.A.: Efficient simulation of a dynamic system with LuGre friction. J. Comput. Nonlinear Dyn. 2, 2281–2289 (2007)

    Google Scholar 

  6. Noh, G.H., Yoo, W.S., Chung, B.S., Kang, D.W., Lyu, J.C.: Matching of multibody dynamic simulation and experiment of a drum-type washing machine. In: Proceedings of ACMD2006, A00662, August 1–4, Tokyo, Japan (2006)

  7. Pfeiffer, F., Glocker, C.: Multibody Dynamics with Unilateral Contact. Wiley, New York (1996)

    Book  Google Scholar 

  8. Ferri, A.A., Heck, B.S.: Analysis of stick–slip motion in Coulomb damped systems using variable structure system theory. In: Proceedings of the ASME Design and Technical Conferences, Sacramento, CA (1997)

  9. Dehoff, P.H., Lianis, G., Goldberg, W.: An experimental program for finite linear viscoelasticity. Trans. Soc. Rheol. 10(1), 385–398 (1966)

    Article  Google Scholar 

  10. Ahn, T.K., Kim, K.J.: Sensitivity analysis for estimation of complex modulus of viscoelastic materials by non-resonance method. J. Sound Vib. 176(4), 543–561 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  11. Lee, S.B., Wineman, A.: A model for non-linear viscoelastic coupled mode response of an elastomeric bushing. Int. J. Non-Linear Mech. 35, 177–199 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  12. Ledesma, R., Ma, Z.D., Hulbert, G., Wineman, A.: A nonlinear viscoelastic bushing element in multibody dynamics. Comput. Mech. 17, 287–296 (1996)

    Article  MATH  Google Scholar 

  13. ADAMS User manual, MSC software, USA (1998)

  14. Bouc, R.: Forced vibration of mechanical systems with hysteresis. In: Proceedings of the 4th Int. Conf. on Nonlinear Oscillations, Czechoslovakia (1967)

  15. Wen, Y.K.: Approximate method for nonlinear random vibration. J. Eng. Mech. Div. 101(4), 249–264 (1975)

    Google Scholar 

  16. Sain, P.M., Sain, M.K., Spencer, B.F., Dain, J.D.: The Bouc hysteresis model: an initial study of qualitative characteristics. In: Proceedings of the American Control Conference, pp. 2559–2563 (1988)

  17. Ni, Y.Q., Ko, J.M., Wong, C.M.: Identification of non-linear hysteretic isolators from periodic vibration tests. J. Sound Vib. 217(4), 737–756 (1998)

    Article  Google Scholar 

  18. Spencer, B.F., Dyke, S.J., Sain, M.K., Carlson, J.D.: Phenomenological model for magnetorheological dampers. J. Eng. Mech. 123(3), 230–238 (1997)

    Article  Google Scholar 

  19. Ok, J.K., Sohn, J.H., Yoo, W.S.: Development of nonlinear-coupled mode bushing model based on the Bouc–Wen hysteretic model. In: Proceedings of IDETC 2007, Las Vegas, Nevada (2007)

  20. Yoo, W.S., Baek, W.K., Sohn, J.H.: A practical model for bushing components for vehicle dynamic analysis. Int. J. Veh. Des. 36(4), 345–364 (2004)

    Article  Google Scholar 

  21. Pfeiffer, F.: On non-smooth dynamics. Meccanica 43, 533–554 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  22. Schiehlen, W., Seifried, R.: Three approaches for elastiodynamic contact in multibody systems. Multibody Syst. Dyn. 12, 1–16 (2004)

    Article  MATH  Google Scholar 

  23. Zahariev, E.V.: Dynamic bifurcation of multibody systems. Nonlinear Dyn. 34, 95–111 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  24. Pogorelov, D.Y.: Jacobian matrices of the motion equations of a system of bodies. J. Comput. Syst. Sci. Int. 46(4), 563–577 (2007)

    Article  MATH  MathSciNet  Google Scholar 

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Correspondence to Wan-Suk Yoo.

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Kim, HJ., Yoo, WS., Ok, JK. et al. Parameter identification of damping models in multibody dynamic simulation of mechanical systems. Multibody Syst Dyn 22, 383–398 (2009). https://doi.org/10.1007/s11044-009-9163-5

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  • DOI: https://doi.org/10.1007/s11044-009-9163-5

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