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Research Papers

Dynamic Analysis of a Series Iwan Model Derived From a Continuous Frictional Interface

[+] Author and Article Information
Dinar Deshmukh

Department of Mechanical and
Aerospace Engineering,
University of Virginia,
Charlottesville, VA 22904
e-mail: dinarvd@gmail.com

Edward Berger

School of Engineering Education and School
of Mechanical Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: bergere@purdue.edu

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 26, 2014; final manuscript received October 31, 2014; published online December 11, 2014. Assoc. Editor: Guilhem Michon.

J. Vib. Acoust 137(2), 021007 (Apr 01, 2015) (10 pages) Paper No: VIB-14-1100; doi: 10.1115/1.4029003 History: Received March 26, 2014; Revised October 31, 2014; Online December 11, 2014

Reduced-order models for characterizing friction interfaces have been investigated for the last 75 years. Recent work has been focused on microslip formulations of the interface behavior, where a continuous interface is approximated with a multipoint contact model. A novel multipoint friction model is presented in this work, which is entirely derived from a shear-lag approach to resolve the kinematic state of the friction interface under the presence of tangential loading. Both static and dynamic loading conditions are analyzed and comparisons are drawn between the continuous and discrete models. The series Iwan model presented in this work differentiates between the elastic and friction components of the interface displacement, both parameters being calibrated using material properties and model geometry. The response characteristics of the series Iwan model under dynamic loading conditions are also investigated. The series Iwan model is in good agreement with the shear-lag approach for results such as propagation of the slip zone with increasing pullout force. The transient response of the structural mass and the kinematic states of the Iwan elements are convergent with increasing model order. A direct physical correlation between the response of the series Iwan model and kinematics of the continuous interface is developed, which greatly enhances the appeal of this particular model for simulating interface phenomena.

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Figures

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Fig. 1

Single fiber pullout model

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Fig. 2

New Iwan element and its kinematic states. (a) New Iwan element, (b) sticking state, and (c) slipping state.

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Fig. 3

Calibration scheme to determine k2's with n = 8

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Fig. 4

Series Iwan model with nonzero mass

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Fig. 5

Normalized first natural frequencies of linearized Iwan model and quasi-static structural displacement of the contact edge (d, normalized by the interface length L) for varying stick zone sizes

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Fig. 6

Variation of slip zone with applied stress for E1/E2 = 1.0 and f = 0.25

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Fig. 7

Convergence of (a) structural amplitude and (b) kinematic states for constant forcing (γ = 1.0; percentage averaged over one forcing cycle)

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Fig. 8

Convergence of frictional energy dissipated for constant forcing (γ = 1.0; Ω = 1.0)

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Fig. 9

Hysteresis loops for (a) constant forcing frequency (Ω = 0.8) and (b) constant forcing amplitude (γ = 0.5)

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Fig. 10

Variation of (a) structural amplitude and (b) frictional energy dissipated with applied forcing frequency. (The dashed backbone curve is a trend line connecting the frequency response peaks.)

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Fig. 11

Variation of (a) power law exponent and (b) slip length with applied forcing frequency

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