Moment Lyapunov Exponent and Stochastic Stability of Two Coupled Oscillators Driven by Real Noise

[+] Author and Article Information
N. Sri Namachchivaya

Department of Aeronautical and Astronautical Engineering, University of Illinois, 103 S. Wright Street, Urbana, IL 61801-2935

H. J. Van Roessel

Department of Mathematical Sciences, University of Alberta, Edmonton AB, Canada

J. Appl. Mech 68(6), 903-914 (Feb 26, 2001) (12 pages) doi:10.1115/1.1387021 History: Received May 15, 2000; Revised February 26, 2001
Copyright © 2001 by ASME
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Grahic Jump Location
Almost-sure stability boundary for follower force and end moment cases under real noise excitation, i.e., ω1=0.5,ω2=2, κ=1, δ1=.001,delta2=.002, α=0.5
Grahic Jump Location
Moment Lyapunov exponent for the follower force problem with κ=1, δ1=0.5,δ2=1,S(ω+)=1,S(ω)=1
Grahic Jump Location
Moment Lyapunov exponent for the general case S(2ω1)=1,S(2ω2)=2,S(ω12)=2,S(ω1−ω2)=1,p11=1,p22=2,p12=p21=κ=1,δ1=1,δ2=2
Grahic Jump Location
Moment Lyapunov exponent for the general case S(2ω1)=1,S(2ω2)=2,S(ω12)=2,S(ω1−ω2)=1,p11=1,p22=2,p12=−p21=κ=1,δ1=1,δ2=2
Grahic Jump Location
Thin rectangular beam subjected to stochastic excitation




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