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Micromechanical vibro-impact systems: a review
Journal of Micromechanics and Microengineering, 2023Abstract Spurred by the invention of the tapping-mode atomic force microscopy three decades ago, various micromechanical structures and systems that utilize parts with mechanical impact have been proposed and developed since then. While sharing most of the dynamical characteristics with macroscopic vibro-impact systems and benefiting ...
Chun-Pu Tsai, Wei-Chang Li
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, 2013 Presents a systematic view of vibro-impact dynamics based on the nonlinear dynamics analysis Comprehensive understanding of any vibro-impact system is critically impeded by the lack of analytical tools viable for properly characterizing grazing ...
Albert C. J. Luo, Yu Guo
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Suppressing Homoclinic Chaos for Vibro-Impact Oscillators
International Journal of Bifurcation and Chaos, 2022In this paper, theoretical framework and numerical verification for suppressing homoclinic chaos of a class of vibro-impact oscillators are discussed by adding parametric excitations in the form of [Formula: see text] as the control item. The analytical Melnikov method for planar vibro-impact systems is employed to obtain the corresponding thresholds ...
Shuangbao Li, Jinzhuo Chen, Liying Kou
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Approximation et existence en vibro-impact
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1999Summary: We consider a dynamical system with a finite number of degrees of freedom, in generalized coordinates, subject to unilateral constraints, which are smooth, but not necessarily convex. When the constraints are saturated, we define an impact law involving a restitution coefficient \(e\in[0,1]\).
Paoli, Laetitia, Schatzman, Michelle
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Some Remarks on a Vibro-Impact Scheme
Numerical Algorithms, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Vibro-impacting power harvester
SPIE Proceedings, 2010The certification of retro-fitted structural health monitoring (SHM) systems for use on aircraft raises a number of challenges. One critical issue is determining the optimal means of supplying power to these systems, given that access to the existing aircraft power-system is often problematic.
Scott Moss +3 more
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Random P-bifurcation in a Duffing-van der Pol vibro-impact system with a Bingham model.
ChaosThe present work investigates stochastic P-bifurcation phenomena in a Duffing-van der Pol vibro-impact oscillator containing a Bingham model under Gaussian white noise excitation.
Z. Kan +3 more
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Analysis of Dry Friction Dynamics in a Vibro-impact Energy Harvester
SIAM Journal on Applied Dynamical SystemsVibro-impact (VI) systems provide a promising nonlinear mechanism for energy harvesting (EH) in many engineering applications. Here, we consider a VI-EH system that consists of an inclined cylindrical capsule that is externally forced and a bullet that ...
Christina Athanasouli +2 more
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Chaotic modes of oscillation of a vibro-impact system
Journal of Applied Mathematics and Mechanics, 2005The authors propose an approach for analytic investigation of the behavior of systems with impact. The classical variables such as point coordinate and its velocity are taken as the phase variables. It is established that the solutions corresponding to arbitrary close initial data can have different number of impacts for the time interval equal to the ...
Kryzhevych, S. G., Pliss, V. A.
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