Modeling, Simulation and Control of Nonlinear Engineering by Jan Awrejcewicz

By Jan Awrejcewicz

This quantity includes the invited papers awarded on the ninth foreign convention Dynamical platforms thought and purposes held in Lódz, Poland, December 17-20, 2007, facing nonlinear dynamical platforms. The convention introduced jointly a wide crew of remarkable scientists and engineers, who care for numerous difficulties of dynamics encountered either in engineering and in day-by-day life.

Topics coated comprise, between others, bifurcations and chaos in mechanical platforms; keep watch over in dynamical structures; asymptotic equipment in nonlinear dynamics; balance of dynamical structures; lumped and non-stop platforms vibrations; unique numerical equipment of vibration research; and man-machine interactions.

Thus, the reader is given an outline of the latest advancements of dynamical structures and will persist with the most recent tendencies during this box of technological know-how. This e-book might be of curiosity to to natural and utilized scientists operating within the box of nonlinear dynamics.

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Extra info for Modeling, Simulation and Control of Nonlinear Engineering Dynamical Systems: State-of-the-Art, Perspectives and Applications

Sample text

Then this problem was considered in [2] and [3]. Extension on the case of quasi-harmonic waves in two coupled sin-Gordon chain has been performed in series of papers [4, 5]. A new approach to the problem of non-linear energy exchange was proposed in [6]. In this paper the conception of limiting phase trajectory (LPT), corresponding to complete energy transfer between nonlinear oscillators has been introduced. It was shown that in the framework of this conception an adequate understanding and description of the problem can be obtained with the use of a pair of non-smooth basic functions of time.

Then this problem was considered in [2] and [3]. Extension on the case of quasi-harmonic waves in two coupled sin-Gordon chain has been performed in series of papers [4, 5]. A new approach to the problem of non-linear energy exchange was proposed in [6]. In this paper the conception of limiting phase trajectory (LPT), corresponding to complete energy transfer between nonlinear oscillators has been introduced. It was shown that in the framework of this conception an adequate understanding and description of the problem can be obtained with the use of a pair of non-smooth basic functions of time.

It J. ) Modeling, Simulation and Control of Nonlinear Engineering Dynamical Systems. V. 2009 25 26 D. Bernardini, G. Rega The purpose of this paper is to calibrate and validate the method of wandering trajectories within a thermomechanical framework and to present some results on the overall characterization of the chaotic response of pseudoelastic oscillators. 2 Description of the System The system under consideration is a simple oscillator where the restoring force is provided by a device with pseudoelastic behavior.

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