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Research Papers

Volumetric Modeling and Experimental Validation of Normal Contact Dynamic Forces

[+] Author and Article Information
Michael Boos

Ph.D. Student
e-mail: mboos@uwaterloo.ca

John McPhee

Professor
Fellow ASME
Department of Systems Design Engineering,
University of Waterloo,
Waterloo, ON, N2L 3G1, Canada
e-mail: mcphee@uwaterloo.ca

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received September 19, 2011; final manuscript received April 23, 2012; published online July 23, 2012. Assoc. Editor: Dan Negrut.

J. Comput. Nonlinear Dynam 8(2), 021006 (Jul 23, 2012) (8 pages) Paper No: CND-11-1155; doi: 10.1115/1.4006836 History: Received September 19, 2011; Revised April 23, 2012

A volumetric contact dynamics model has been proposed for the purpose of generating reliable and rapid simulations of contact dynamics. Forces and moments between bodies in contact can be expressed in terms of the volume of interference between the undeformed geometries. This allows for the modeling of contact between complex geometries and relatively large contact surfaces, while being computationally less expensive than finite element methods. However, the volumetric model requires experimental validation. Models for simple geometries in contact have been developed for stationary and dynamic contact, and an apparatus has been developed to experimentally validate these models. This paper focuses on validation of the normal contact models. Measurements of forces and displacements will be used to identify the parameters related to the normal force, i.e., the volumetric stiffness and hysteretic damping factor for metallic surfaces. The experimental measurements are compared with simulated results to assess the validity of the volumetric model.

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Figures

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Fig. 1

Volume of interference between two bodies in contact

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Fig. 2

Mechanical apparatus for contact experiments, shown in the normal configuration

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Fig. 3

Normal force configuration of the apparatus

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Fig. 4

Quasi-static force versus displacement for spherical contact on aluminum

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Fig. 5

Quasi-static force versus displacement for spherical contact on magnesium alloy

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Fig. 6

Quasi-static force versus displacement for cylindrical contact on aluminum

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Fig. 7

Quasi-static force versus displacement for cylindrical contact on magnesium alloy

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Fig. 8

Force and displacement measurements for impact at 0.58 mm/s on magnesium alloy

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Fig. 9

Estimated hysteretic damping factors plotted by impact velocity

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