By Jan Awrejcewicz
This quantity includes the invited papers provided on the ninth foreign convention Dynamical platforms thought and functions held in Lódz, Poland, December 17-20, 2007, facing nonlinear dynamical platforms. The convention introduced jointly a wide workforce of exceptional scientists and engineers, who take care of numerous difficulties of dynamics encountered either in engineering and in day-by-day life.
Topics lined comprise, between others, bifurcations and chaos in mechanical platforms; keep an eye on in dynamical structures; asymptotic equipment in nonlinear dynamics; balance of dynamical structures; lumped and non-stop platforms vibrations; unique numerical tools of vibration research; and man-machine interactions.
Thus, the reader is given an outline of the latest advancements of dynamical structures and will stick with the most recent tendencies during this box of technology. This ebook may be of curiosity to to natural and utilized scientists operating within the box of nonlinear dynamics.
Read Online or Download Modeling, simulation and control of nonlinear engineering dynamical systems: state-of-the-art, perspectives and applications PDF
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Nonlinear Dynamics, 28(3–4):231–241, 2002. 20. U. Dressler and J. D. Farmer. Generalized Lyapunov exponents corresponding to higher derivatives. Physica D: Nonlinear Phenomena, 59(4):365–377, 1992. Numerical Characterization of the Chaotic Nonregular Dynamics of Pseudoelastic Oscillators Davide Bernardini and Giuseppe Rega 1 Introduction Previous studies on the nonlinear dynamics of pseudoelastic oscillators showed the occurrence of chaotic responses in some ranges of the system parameters [1,2].
A method for calculating the spectrum of Lyapunov exponents by local maps in non-smooth impact-vibrating systems. Journal of Sound and Vibration, 298(4–5):1019–1033, 2006. 13. P. C. Muller. Calculation of Lyapunov exponents for dynamic systems with discontinuities. Chaos, Solitons & Fractals Some Nonlinear Oscillations Problems in Engineering Sciences, 5(9):1671–1681, 1995. 14. A. Stefa´nski and T. Kapitaniak. Estimation of the dominant Lyapunov exponent of non-smooth systems on the basis of maps synchronization.
10). It turns out, as expected, that decreasing hysteresis leads to a significant increase of the size of the regions of irregular motion, with the intermediate region tending to cluster in nearly vertical stripes at lower frequencies. 4 frequency Fig. 10 Behavior chart in excitation frequency-amplitude plane for MP1 (white: regular, black dot: non-regular) Numerical Characterization of the Chaotic Nonregular Dynamics 35 of bifurcation diagrams with frequency as control parameter (this is left for future investigations).
