Output-Only Identification of Vibratory Machine Suspension Parameters under Exploitational Conditions

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Abstract:

The paper concerns model based identification of vibratory machine body suspension system on the basis of dynamic responses measured under exploitational conditions. The research was carried out by means of the restoring force, boundary perturbation and direct parameter estimation techniques which, on the contrary to classical nonlinear system identification methods, requires neither excitation measurements nor linear behaviour of the considered system around an operating point. At the first stage of the research, parameters of the machine body suspension system were identified. Results accuracy was verified by determining percentage relative error of mass estimation with respect to the value calculated based on the machine geometrical and material properties. In the next step, the suspension system was modified by introduction of a nonlinear damping system. Obtained results proved that the assumed identification method is convenient for vibratory machine suspension condition monitoring and determining forces transferred on machine foundations.

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Periodical:

Solid State Phenomena (Volume 248)

Edited by:

Waldemar Rączka, Marek Sibielak

Pages:

175-185

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Online since:

March 2016

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[1] M. Giergiel, Computer aided design of vibratory machines (in Polish), Research, dissertations, monographs 104, WIGSMiE PAN, Krakow, (2002).

[2] J. Michalczyk, Vibratory machines: dynamic computations, vibrations, noise (in Polish). WNT, Warsaw, (1995).

[3] T. Banaszewski, Bolters (in Polish), WŚ, Katowice, (1990).

[4] G. Kerschen, K. Worden, A.F. Vakakis, J.C. Golinval, Past, present and future of nonlinear system identification in structural dynamics, Mech. Syst. and Signal Process. 20 (2006) 505–592.

DOI: 10.1016/j.ymssp.2005.04.008

[5] A.H. Nayfeh, L. Pai, Linear and nonlinear structural Mechanics, Wiley Interscience, New York, (2004).

[6] J.F. Schultze, F.H. Hemez, S.W. Doebling, Application of Nonlinear system updating using feature extraction and parameter effect analysis. Shock and Vib. 8 (2001) 325-337.

DOI: 10.1155/2001/581978

[7] F. Al-Bender, W. Symens, J. Swevers, J. Van Brussel, Analysis of dynamic behaviour of hysteresis elements in mechanical systems, Int. J. of Nonlinear Mech. 39 (2004) 1721-1735.

DOI: 10.1016/j.ijnonlinmec.2004.04.005

[8] V. Babitsky, V.L. Krupenin, Vibrations of strong nonlinear discontinuous systems. Springer, Berlin, (2001).

[9] H.J. Rice, Identification of weakly non-linear systems using equivalent linearization, J. Sound and Vib. 185 (1995) 473-481.

DOI: 10.1006/jsvi.1995.0393

[10] C. Soize, O. Le Fur, Modal identification of weakly non-linear system using a stochastic linearization method, Mech. Syst. and Signal Process. 11 (1997) 37-49.

[11] R. Rand, A direct method for nonlinear normal modes, Int. J. Non-Linear Mech. 9 (1974) 363-368.

[12] R.M. Rosenberg, The normal modes of nonlinear n-degree-of-freedom systems, J. of Appl. Mech. 29 (1962) 7-14.

[13] S.W. Shaw, C. Pierre, Normal modes for non-linear vibratory systems, J. of Sound and Vib. 164 (1993) 85-124.

[14] A.F. Vakakis, Non-linear normal modes and their applications in vibration theory: an overview, Mech. Syst. and Signal Process. 11 (1997) 3-22.

[15] J. Warmiński, Nonlinear Normal Modes of Parametrically and Self-Excited Systems. Recent Advances in Nonlinear Mechanics 2009, The University of Nottingham Malysia Campus, Kuala Lumpur, Malyasia, (2009).

[16] J. Kevorkian, J.D. Cole, Multiple Scales and Singular Perturbation Methods. Springer, New York, (1996).

[17] A.H. Nayfeh, Introduction to Perturbation Techniques, Wiley- Interscience, New York, (1981).

[18] R.E. O'Maley, Singular Perturbation Methods for Ordinary Differential Equations, Springer, New York, (1991).

[19] S.F. Masri, T.K. Caughey, A nonparametric identification technique for nonlinear dynamic problems, J. of Appl. Mech. 46 (1979) 433-447.

DOI: 10.1115/1.3424568

[20] M.I. Qaisi, A.W. Kilani, A power-series solution for a strongly non-linear two degree-of-freedom system, J. of Sound and Vib. 233 (2000) 489-494.

DOI: 10.1006/jsvi.1999.2833

[21] J. Awrejcewicz, V.A. Krysko, Nonclassical Thermoplastic Problems in Nonlinear Dynamics of Shells, Springer-Verlag, Berlin, (2003).

[22] J. Awrejcewicz, I.V. Andrianov, L.I. Manevitch, Asymptotical Mechanics of Thin Walled Structures. A Handbook, Springer-Verlag, Berlin, (2004).

DOI: 10.1007/978-3-540-45246-1_16

[23] J.M. Nichols, C.J. Nichols, M.D. Todd, M Seaver, S.T. Trickey, L.N. Virgin, Use of data-driven phase space models in assessing the strength of a bolted connection in a composite beam, Smart Mater. and Struct. 13 (2004) 241-250.

DOI: 10.1088/0964-1726/13/2/001

[24] J.F. Rhoads, S.W. Shaw, K.L. Turner, R. Baskaran, Tunable MEMS filters that exploit parametric resonance, J. of Vib. and Acoust. 127 (2005) 423-430.

DOI: 10.1115/1.2013301

[25] A.F. Vakakis, O. Gendelman, Energy pumping in nonlinear mechanical oscillators: Part II – resonance capture, J. of Appl. Mech. 68 (2001) 42-48.

DOI: 10.1115/1.1345525

[26] P. Ibanez, Identification of dynamic parameters of linear and nonlinear structural models from experimental data, Nucl. Eng. and Des. 25 (1973) 30-41.

[27] M. Haroon, D.E. Adams, Y.W. Luk, A Technique for Estimating Linear Parameters Using Nonlinear Restoring Force Extraction in the Absence of an Input Measurement, ASME J. of Vib. and Acoust. 127 (2005) 483–492.

DOI: 10.1115/1.2013293

[28] J. Iwaniec, Selected issues of exploitational identification of nonlinear systems (in Polish), AGH University of Science and Technology Press, Krakow, (2011).

[29] J. Goliński, Vibroinsulation of machines and systems (in Polish), WNT, Warsaw, (1979).

[30] J.P. Den Hartog, Mechanical Vibrations (in Polish), PWN, Warsaw, (1971).

[31] W. Rubinowicz, W. Królikowski, Theoretical mechanics (in Polish), PWN, Warsaw, (1971).

[32] G. Cieplok, Vibration amplitude of symmetrically suspended vibrational machine during transient resonance (in Polish), Technical Journal z. 1-M, Cracow University of Technology Publishing House, 27-45, (2008).

[33] J. Lipiński, Foundations for machines (in Polish), Arkady, Warsaw, (1985).