Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture

[+] Author and Article Information
A. F. Vakakis

Department of Mechanical and Industrial Engineering, University of Illinois, 1206 W. Green Street, Urbana, IL 61801 e-mail: avakakis@uiuc.edu

O. Gendelman

Institute of Chemical Physics, Russian Academy of Sciences, Kosygin Street 4, 117977 Moscow, Russia e-mail: ovgend@center.chph.ras.ru

J. Appl. Mech 68(1), 42-48 (May 02, 2000) (7 pages) doi:10.1115/1.1345525 History: Received September 29, 1999; Revised May 02, 2000
Copyright © 2001 by ASME
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Grahic Jump Location
Transient responses I1(t) and I2(t) of system (1) for, (a) h=0.5, (b) h=0.8, (c) h=1.125; – oscillator 1, [[dashed_line]] oscillator 2
Grahic Jump Location
Phase portraits of system (14) for, (a) μ>ν, and (b) μ≤ν
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Numerical solutions of system (30): (a) no resonance capture (M=2.8), (b, c, d) resonance capture (M=4.0, 10.0, 15.0)
Grahic Jump Location
Transient response y1(t) of system (1), (a) when no energy pumping occurs (h=0.5), and (b,c) when energy pumping takes place (h=0.8, 1.125). ⋄⋄⋄⋄⋄⋄⋄⋄ Analytical approximations based on (30), – Numerical simulations.




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