On the Acoustic Nonlinearity of Solid-Solid Contact With Pressure-Dependent Interface Stiffness

[+] Author and Article Information
S. Biwa, S. Nakajima, N. Ohno

Department of Micro System Engineering, Nagoya University, Nagoya 464-8603, Japan

J. Appl. Mech 71(4), 508-515 (Sep 07, 2004) (8 pages) doi:10.1115/1.1767169 History: Received December 11, 2002; Revised January 24, 2004; Online September 07, 2004
Copyright © 2004 by ASME
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Grahic Jump Location
One-dimensional wave propagation through contact interface.
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Gaussian-modulated incident wave with center frequency 10 MHz, and the transmitted and reflected waves at the aluminum-aluminum contact interface characterized by the parameters p0=10 [MPa],m=0.5, and C=6.0×1010 [Pa−1/2 m−1]. (a), (b), (c): Incident wave amplitude 5 nm; (d), (e), (f): incident wave amplitude 20 nm. The time scales are taken with the origin at the center of each wave packet.
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Amplitude spectra of the waves shown in Fig. 2. The spectral amplitudes are normalized with respect to the amplitude of the incident wave at the fundamental frequency (10 MHz).
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(a) The power-law relation between the linear interface stiffness and the nominal contact pressure, for m=0.5 and C=6×1010 [Pa−1/2 m−1], with the experimental data by Drinkwater et al. 3 for Al-Al interface at unloading from initial loading (circles); (b) the corresponding pressure-gap relation derived thereof, where h0 is taken as the gap at 10 MPa
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Variation of the transmission and reflection coefficients with the nominal contact pressure, for different fundamental frequencies
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Variation of (a) nonlinearity parameter β1 and (b) nonlinearity parameter γ1 with the nominal contact pressure, for different fundamental frequencies
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Variation of the nonlinearity parameter β2 with the nominal contact pressure, at 5 MHz fundamental frequency. Solid line: present model, broken line: low-pressure asymptotic form, circles: experimental data by Buck et al. 9. The parameters are scaled with respect to the value at 10 MPa.




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