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TECHNICAL PAPERS

Numeralytics: A Computation Approach for Engineering Practitioners

[+] Author and Article Information
Ben Zion Sandler

Ben Gurion University of the Negev, Department of Mechanical Engineering, Beer-Sheva 84105, P.O.B. 653, Israele-mail:sandler@bgumail.bgu.ac.il

J. Mech. Des 124(2), 151-157 (May 16, 2002) (7 pages) doi:10.1115/1.1460903 History: Received November 01, 1999; Online May 16, 2002
Copyright © 2002 by ASME
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References

Figures

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Forced vibrations in a system with a gap h=0.1 and a linear friction force. The equation is f6=x″ [t] +.5x′ [t]+16g1−.5 sin [1.7t]=0.
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Comparison between the amplitude variances of a one-mass oscillator for the nonlinear 1 and linear 2 cases
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Examples of solutions for different frequencies, mass m1 and gap h
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Surface corresponding to Rosenbrock’s problem
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Model and computation lay-out of a SDP
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(a) “Phase portraits” for both pendulums, (b) swinging angles ϕ1(t) and ϕ2(t); (c) swinging speeds φ̇1(t) and φ̇2(t),; (d) oscillation spectrum distributions for both pendulums. Angle Ψ=15 deg, ϕ1=10 deg,ϕ2=50 deg.
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(a) “Phase portraits” for both pendulums; (b) swinging angles ϕ1(t), and ϕ2(t); (c), swinging speeds φ̇1(t) and φ̇2(t); (d) oscillation spectrum distributions for both pendulums. Angle Ψ=30 deg, ϕ1=50 deg,ϕ2=50 deg.
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(a) “Phase portraits” for both pendulums; (b) swinging angles ϕ1(t) and ϕ2(t); (c) swinging speeds φ̇1(t) and φ̇2(t); (d) oscillation spectrum distributions for both pendulums. Angle Ψ=90 deg, ϕ1=30 deg,ϕ2=10 deg.
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“Number of frequencies peaks” versus angle Ψ for the initial angles of the first and second pendulums are ϕ1=50 deg and ϕ2=50 deg, respectively
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Oscillators with nonlinear restoring elements: spring+gap: (a) One-mass model; (b) Two-mass model

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