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TECHNICAL PAPERS

# Using Series-Series Iwan-Type Models for Understanding Joint Dynamics

[+] Author and Article Information
D. Dane Quinn

Department of Mechanical Engineering,  The University of Akron, Akron, OH 44325-3903quinn@uakron.edu

Daniel J. Segalman1

Sandia National Laboratories, P. O. Box 5800, MS 0847, Albuquerque, NM 87185-0847djsegal@sandia.gov

1

Sandia is a multi-program laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy under Contract No. DE-AC04-94AL85000.

J. Appl. Mech 72(5), 666-673 (Aug 10, 2004) (8 pages) doi:10.1115/1.1978918 History: Received January 03, 2003; Revised August 10, 2004

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## Figures

Figure 2

Physical system. The rod slips over the interval 0⩽x̃<ℓ̃(t̃).

Figure 3

Force-displacement curve. The dashed curve represents the force-displacement curve generated from loading into undeformed material [Eq. 28]. In each panel the loading amplitude is 0.30.

Figure 1

Iwan elements

Figure 4

Discrete model

Figure 5

Interfacial behavior with n=64(ω=0.25,α=0.25). The displacements have been marked according to the slip velocity—for the lightest points ∣u̇i∣>v0 and for the darker points v0>∣u̇i∣>v02∕n. The velocity of the darkest points is v02∕n>∣u̇i∣, with v0=2ω(Δt)=7.8125×10−6. The slip velocity is in the same direction as that of the end of the interface.

Figure 6

Power dissipated over one steady-state cycle, t=ωτ(ω=0.25,α=0.25)

Figure 7

Frictional dissipation per unit cycle as n varies (ω=0.25,α=0.25)

Figure 8

Frictional work per unit cycle (n=256). The quantity m, represents the slope of this curve, as determined from linear regression

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