Abstract
This contribution deals with the analysis of the long-term dynamic behaviour of nonlinear systems in mechanical engineering under periodic excitation. Typically, the models of these systems are characterized by many degrees of freedom (mdof), whereas the nonlinearities are only connected to a limited number of those degrees of freedom. The key issue in the analysis method is the integration of the finite element technique with numerical tools for the analysis of nonlinear dynamic systems. The developed methodology is applied to two nonlinear systems in mechanical engineering, namely a discontinuous system and a nonlinear rotordynamic system.
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References
Brown, R.D., Addison, P. and Chan, H.C. (1994) Chaos in the Unbalance Response of Journal Bearings, Nonlinear Dynamics, 5, pp. 421–432
Childs, D., Moes H. and van Leeuwen, H. (1977) Journal Bearing Impedance Descriptions for Rotordynamic Applications, Trans. ASME,J. of Lubrication Technology, 99, pp. 198–210
DIANA (1997) User’s Manual,release 6.2, TNO Building and Construction Research, Delft, The Netherlands
Fey, R.H.B., van Campen, D.H. and de Kraker, A. (1996) Long Term Structural Dynamics of Mechanical Systems with local Nonlinearities, Trans. ASME,J. Vibration and Acoustics,118, pp. 147–153
Van Campen, D.H., Fey, R.H.B., van Liempt, F.P.H. and de Kraker, A. (1998) Steady-State Behaviour of a Solar Array System with Elastic Stops, Proc. IUTAM Syrup. of New Applications of Nonlinear and Chaotic Dynamics in Mechanics, July 27 - August 1, 1997, Cornell University, Ithaca (N.Y.), ed. F.C. Moon, Kluwer Academic Publ., Dordrecht, to appear
Van de Vorst, E.L.B., Fey, R.H.B., de Kraker, A., and van Campen, D.H. (1995) Steady-State Behaviour of Nonlinear Flexible Rotor-Bearing Systems: Part II-Application: Influence of Cavitation Modelling, Machine Vibration, 3, pp. 146–155
Van de Vorst, E.L.B., Assinck, F.H., de Kraker, A., Fey, R.H.B. and van Campen, D.H. (1996) Experimental Verification of the Steady-State Behaviour of a Beam System with Discontinuous Support, Experimental Mechanics, 36, pp. 159–165
Van de Vorst, E.L.B., van Campen, D.H., de Kraker, A. and Fey, R.H.B. (1996) Periodic Solutions of a Multi-DOF Beam System with Impact, J. Sound and Vibration, 192, pp. 913–925
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© 2000 Springer Science+Business Media Dordrecht
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Van Campen, D.H., De Kraker, A., Fey, R.H.B., Van De Vorst, E.L.B. (2000). Steady-State Dynamics of Two Nonlinear MDOF Mechanical Engineering Systems. In: Lavendelis, E., Zakrzhevsky, M. (eds) IUTAM / IFToMM Symposium on Synthesis of Nonlinear Dynamical Systems. Solid Mechanics and its Applications, vol 73. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4229-8_2
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DOI: https://doi.org/10.1007/978-94-011-4229-8_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5836-0
Online ISBN: 978-94-011-4229-8
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