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Keywords: Lyapunov’s exponents
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Proceedings Papers

Proc. ASME. IDETC-CIE2001, Volume 6B: 18th Biennial Conference on Mechanical Vibration and Noise, 1779-1788, September 9–12, 2001
Publisher: American Society of Mechanical Engineers
Paper No: DETC2001/VIB-21510
..., characterized by a smaller number of degrees of freedom. A technique was then implemented for calculating Lyapunov’s exponents also during the time intervals of the impacts. The introduction and evaluation of these exponents can also permit us to perform the stability analysis with respect to overturning...
Proceedings Papers

Proc. ASME. IDETC-CIE2003, Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 1479-1490, September 2–6, 2003
Publisher: American Society of Mechanical Engineers
Paper No: DETC2003/VIB-48478
... The present paper illustrates some recently developed techniques to evaluate stability features, such as characteristic multipliers and Lyapunov’s exponents, for a problem with strong discontinuities. The problem analyzed concerns the plane dynamics of a rigid block simply supported...
Proceedings Papers

Proc. ASME. IDETC-CIE2005, Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 1999-2010, September 24–28, 2005
Publisher: American Society of Mechanical Engineers
Paper No: DETC2005-84574
... special tools, specific for non-smooth functions, must be introduced to perform the stability analysis. In the present study, the theory due to Mu¨ller [19] is used to handle the evaluation of Lyapunov’s exponents upon discontinuities, by introducing the treatment, both analytical and numerical...