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Dynamic contact interactions of fractal surfaces.pdf
Applied Surface Science 392 (2017) 872–882
Contents lists available at ScienceDirect
Applied Surface Science
journal homepage: /locate/apsusc
Dynamic contact interactions of fractal surfaces
Tamonash Jana, Anirban Mitra, Prasanta Sahoo ?
Department of Mechanical Engineering, Jadavpur University, Kolkata-700032, India
article info
Article history: Received 9 June 2016 Received in revised form 29 August 2016 Accepted 8 September 2016 Available online 29 September 2016
Keywords: Fractal surface Contact Nonlinear vibration Tangent modulus Yield strength
abstract
Roughness parameters and material properties have signi?cant in?uence on the static and dynamic properties of a rough surface. In the present paper, fractal surface is generated using the modi?ed two-variable Weierstrass-Mandelbrot function in MATLAB and the same is imported to ANSYS to construct the ?nite element model of the rough surface. The force-de?ection relationship between the deformable rough fractal surface and a contacting rigid ?at is studied by ?nite element analysis. For the dynamic analysis, the contacting system is represented by a single degree of freedom spring mass-damper-system. The static force-normal displacement relationship obtained from FE analysis is used to determine the dynamic characteristics of the rough surface for free, as well as for forced damped vibration using numerical methods. The in?uence of fractal surface parameters and the material properties on the dynamics of the rough surface is also analyzed. The system exhibits softening property for linear elastic surface and the softening nature increases with rougher topography. The softening nature of the system increases with increase in tangent modulus value. Above a certain value of yield strength the nature of the frequency response curve is observed to change its nature from softening to hardening.
? 2016 Elsevier B.V. All rights reserved.
1. Introduction
A variety of mechanical elements, such as gear, cam-follower mechani
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