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TECHNICAL PAPERS

Dynamics of Flexible Structures With Nonlinear Joints

[+] Author and Article Information
Sunetra Sarkar, Kartik Venkatraman, B. Dattaguru

Aeroservoelasticity Laboratory, Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India 560 012

J. Vib. Acoust 126(1), 92-100 (Feb 26, 2004) (9 pages) doi:10.1115/1.1596548 History: Received August 01, 2001; Revised December 01, 2002; Online February 26, 2004
Copyright © 2004 by ASME
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References

Figures

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(a) Single joint two beam model. (b) Nonlinear restoring force as a function of joint rotational degree of freedom
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(a) Two joint three beam model. (b) Nonlinear symmetric restoring force
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Example 1—Convergence of Fourier-Galerkin solution—Time history of 1st degree of freedom; ω̄=1.0,k̄1=0.15,k̄2=0.4,α=0.35
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Example 1—Converged Fourier-Galerkin solution with 14 and 20 harmonics compared with direct time integration result—Phase plot of 1st degree of freedom; ω̄=1.0,k̄1=0.15,k̄2=0.4,α=0.35
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Example 1—Maximum displacement of 4th degree of freedom at each period of excitation; k̄1=0.15,k̄2=0.4,α=0.35
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Example 1—The phase plot with the Poincaré points for 4th degree of freedom; ω̄=4.5,k̄1=0.15,k̄2=0.4,α=0.35
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Movement of Floquet multiplier with ω̄,k̄1=0.15,k̄2=0.4,α=0.35
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Example 1—Time history of 4th degree of freedom at ω̄=8.0,k̄1=1.5,k̄2=4.0,α=0.35
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Example 1—Maximum response of 4th degree of freedom at each period of excitation; k̄1=1.5,k̄2=4.0,α=0.35
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Example 1—Maximum response of 4th degree of freedom at each period of excitation; k̄1=0.15,k̄2=0.4,α=0.005
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Example 1—Movement of Floquet multiplier with ω̄;k̄1=0.15,k̄2=0.4,α=0.005
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Example 2—Maximum response at each period for 1st degree of freedom; k̄=0.1,α=0.1
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Example 2—Maximum response at each period for 4th degree of freedom; k̄=0.1,α=0.1
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Example 2—The amplitude versus frequency plot for the equivalent linear system for 1st freedom; k̄=0.1,α=0.1
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Example 2—The amplitude versus frequency plot for the equivalent linear system for 4th degree of freedom; k̄=0.1,α=0.1
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Example 2—The maximum displacement of 1st degree of freedom; k̄=1.0,α=0.1
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Example 2—The maximum displacement of 4th freedom; k̄=1.0,α=0.1

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