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Article

A Frequency Domain Technique for Characterizing Nonlinearities in a Tire-Vehicle Suspension System

[+] Author and Article Information
C. Gavin McGee, Muhammad Haroon, Douglas E. Adams

Purdue University, School of Mechanical Engineering, Ray W. Herrick Laboratories, 140 S. Intramural Drive, West Lafayette, IN 47907-2031

Yiu Wah Luk

Goodyear Tire and Rubber Company, Goodyear Vehicle Systems, Technical Center D/480C, P.O. Box 3531, Akron, OH 44309-3531

J. Vib. Acoust 127(1), 61-76 (Mar 21, 2005) (16 pages) doi:10.1115/1.1855931 History: Received January 16, 2003; Revised December 23, 2003; Online March 21, 2005
Copyright © 2005 by ASME
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References

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Figures

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Nominally linear two degree of freedom quarter car model with nonlinear elements and additional stiffness K3
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Frequency response and transmissibility functions for linear quarter car model. Hx2xb, –, Hx1xb, - - -, Tx2x1, ⋯, Peaks occur in the frequency response functions at 1.5 and 10 Hz.
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Frequency response function and coherence function between sprung mass response, ẍ2(t), and base input, ẍb(t). Quarter car model with quadratic tire stiffness, input known.
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Transmissibility function and coherence function between sprung mass response, ẍ2(t), and unsprung mass response, ẍ1(t). Quarter car model with quadratic tire stiffness, input unknown.
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Frequency response function and coherence function between sprung mass response, ẍ2(t), and base input, ẍb(t). Quarter car model with cubic suspension stiffness, input known.
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Transmissibility function and coherence function between sprung mass response, ẍ2(t), and unsprung mass response, ẍ1(t). Quarter car model with cubic suspension stiffness, input unknown.
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Transmissibility function and coherence function between sprung mass response, ẍ2(t), and unsprung mass response, ẍ1(t). Quarter car model with Coulomb friction in suspension, input unknown, 100% nonlinearity.
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Analytically generated frequency response functions (FRFs) and transmissibility function for three degree of freedom quarter car model with input force excitation, fb(t), for MTP=0.05×M1⋅Hx1xb, –, Hx2xb, - - -, Tx2x1, ⋯, Hxbxb, ⋅ - ⋅ -. Peaks occur in the FRFs at 0.66, 3.78, and 43.1 Hz.
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Experimental setup for electrohydraulic shaker test with acceleration measurements at the tire patch, spindle, and the top of the strut at the body
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Experimentally obtained frequency response function (FRF) data for input force, fb(t), at the tire patch and output motion, x2(t), at the body connection point. Three different FRFs are shown for three excitation levels.
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Experimentally obtained transmissibility function data between response acceleration, ẍ2(t), of the body and acceleration, ẍ1(t), at spindle in the vertical direction. Three different functions are shown for three excitation levels.
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Transmissibility and coherence function between sprung mass response, ẍ2(t), and unsprung mass response, ẍ1(t) for a vehicle speed of 40 mph on rough road
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Coherence function between sprung mass response, ẍ2(t), unsprung mass response, ẍ1(t), –, and normalized power spectrum of relative motion between the unsprung mass and sprung mass, ⋯, for a vehicle speed of 40 mph on rough road. Two frequency ranges; (i) 0–15 Hz and (ii) 15–30 Hz.
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Transmissibility and coherence function between sprung mass response, ẍ2(t), and unsprung mass response, ẍ1(t) for a vehicle speed of 60 mph on an urban highway
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Coherence function between sprung mass response, ẍ2(t), unsprung mass response, ẍ1(t), –, and normalized power spectrum of relative motion between the unsprung mass and sprung mass, ⋯, for a vehicle speed of 60 mph on an urban highway. Two frequency ranges; (i) 0–15 Hz and (ii) 15–30 Hz.
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Transmissibility and coherence function between sprung mass response, ẍ2(t), and unsprung mass response, ẍ1(t) for a vehicle speed of 35 mph on an urban highway
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Coherence function between sprung mass response, ẍ2(t), unsprung mass response, ẍ1(t), –, and normalized power spectrum of relative motion between the unsprung mass and sprung mass, ⋯, for a vehicle speed of 35 mph on an urban highway. Two frequency ranges; (i) 0–15 Hz and (ii) 15–30 Hz.

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