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Research Papers

Tuning the Dissipation in Friction Dampers Excited by Depolarized Waves Across Patterned Surfaces

[+] Author and Article Information
Melih Eriten

Department of Mechanical Engineering,
University of Wisconsin–Madison,
1513 University Avenue,
Madison, WI 53706
e-mail: eriten@wisc.edu

Ahmet D. Usta, Lejie Liu

Department of Mechanical Engineering,
University of Wisconsin–Madison,
1513 University Avenue,
Madison, WI 53706

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received February 2, 2016; final manuscript received March 29, 2016; published online May 26, 2016. Assoc. Editor: Michael Leamy.

J. Vib. Acoust 138(5), 051004 (May 26, 2016) (8 pages) Paper No: VIB-16-1062; doi: 10.1115/1.4033343 History: Received February 02, 2016; Revised March 29, 2016

Recently, patterned surfaces (elastodynamic meta-surfaces) were shown to cause mechanical wave depolarization resulting in conversion of uniaxial waves to multiaxial vibrations. Frictional oscillators loaded in multiple directions provide more tailorable damping scheme when compared to uniaxially loaded equivalents. This paper utilizes wave depolarization properties of patterned surfaces in tuning frictional damping. In particular, two-dimensional (2D) motion achieved by anisotropic wave reflection and depolarization across patterned surfaces is exerted on a simple friction oscillator; and frictional energy dissipation is studied using the homogenization theory and mechanics of a simple friction oscillator under macro and microslip conditions. The degree of depolarization is shown to control the extent of frictional shakedown (no-dissipation) zones and magnitude of energy dissipation for different incident wave frequencies and amplitudes. Transmission of the depolarized waves from the patterned surface to the friction oscillator enables higher and more uniform frictional damping for broader loading conditions. Uniform damping facilitates predictive linear dynamic models, and tuning the magnitude of damping permits efficient and robust wave attenuation, and energy transfer and localization in dynamic applications. A discussion on modeling assumptions and practical utilization of this potential is also provided. The presented potential of tuning frictional dissipation from very low to high values by simple surface patterns suggests that more sophisticated surface patterns can be designed for spatially varying frequency-dependent wave attenuation.

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Figures

Grahic Jump Location
Fig. 1

Frictional oscillator attached to a meta-surface containing SDOF resonators

Grahic Jump Location
Fig. 2

Normalized surface displacements U1/USH and U2/USH for misalignment angles of α={1/40,1/8,1/4,3/8}π and γ=1, ζ=0.05

Grahic Jump Location
Fig. 3

Curved 2D contact geometry (a) and generic loading cycle used in energy dissipation calculations for microslip regime

Grahic Jump Location
Fig. 4

The normalized energy dissipation ζs on Ω-η plane for misalignment angles of α={1/40,1/8,1/4,3/8}π and Λ=0.5

Grahic Jump Location
Fig. 5

Shakedown boundaries on Ω - η plane for misalignment angles of α={1/40,1/8,1/4,3/8}π and Λ={0.1,0.3,0.5,0.7,0.9}

Grahic Jump Location
Fig. 6

The normalized energy dissipation ζps on Ω-η plane for misalignment angle of α=π/4 and Λ=0.5

Grahic Jump Location
Fig. 7

Rectangular surface pattern design

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