NDLI: A Procedure for Reducing the Chaotic Response Region in an Impact Mechanical System

Content Provider	Springer Nature Link
Author	Lenci, Stefa Rega, Giuseppe
Copyright Year	1998
Abstract	The problem of reducing the chaotic response of a simple mechanical system, previously studied by Shaw and co-workers is reconsidered. The chaotic motion is detected by a version of the Melnikov's method which does not require a perturbation analysis. The original Shaw problem is firstly formulated in a mathematical satisfactory way and successively relaxed in order to obtain the solution, which is found by using a result of Ghizzetti. It involves two equal and opposite impulses, of adequate amplitude and acting with a precise phase difference; this solution represents the external excitation which reduces as much as possible the chaotic behaviour of the system. Some precise theoretical suggestions are furnished, and some numerical results are presented to verify the practical realizability of the optimal excitation and the possibility to apply the present results to the field of 'controlling chaos'.
Starting Page	391
Ending Page	409
Page Count	19
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	15
Issue Number	4
e-ISSN	1573269X
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	1998-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mechanics Vibration, Dynamical Systems, Control Mechanical Engineering Automotive and Aerospace Engineering, Traffic
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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