A two degree of freedom oscillator with a colliding component is considered. The aim of the study is to investigate the dynamic behavior of the system when the stiffness obstacle changes to a finite value to an infinite one. Several cases are considered. First, in the case of rigid impact and without external excitation, a family of periodic solutions are found in analytical form. In the case of soft impact, with a finite time duration of the shock, and no external excitation, the existence of periodic solutions, with an arbitrary value of the period, is proved. Periodic motions are also obtained when the system is submitted to harmonic excitation, in both cases of rigid or soft impact. The stability of these periodic motions is investigated for these four cases.
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January 2006
Research Papers
Dynamics and Stability of a Two Degree of Freedom Oscillator With an Elastic Stop
Madeleine Pascal
Madeleine Pascal
33169477521
Laboratoire Systèmes Complexes,
e-mail: mpascal@iup.univ-evry.fr
Université d’Evry Val d’Essonne et CNRS FRE 2494
, 40 rue du Pelvoux, 91020 Evry cedex, France
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Madeleine Pascal
33169477521
Laboratoire Systèmes Complexes,
Université d’Evry Val d’Essonne et CNRS FRE 2494
, 40 rue du Pelvoux, 91020 Evry cedex, Francee-mail: mpascal@iup.univ-evry.fr
J. Comput. Nonlinear Dynam. Jan 2006, 1(1): 94-102 (9 pages)
Published Online: May 16, 2005
Article history
Received:
April 19, 2005
Revised:
May 16, 2005
Citation
Pascal, M. (May 16, 2005). "Dynamics and Stability of a Two Degree of Freedom Oscillator With an Elastic Stop." ASME. J. Comput. Nonlinear Dynam. January 2006; 1(1): 94–102. https://doi.org/10.1115/1.1961873
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