Numerical analysis on the clamping reliability of fixture–workpiece facility considering partial slip

Fixture is a mechanical component to clamp a workpiece and to move it to a specific position. This paper analyses partial slip at the fixture–workpiece interface and addresses the effects of design parameters and working conditions of a fixture–workpiece facility on clamping reliability. A stick ratio, defined as the ratio of the stick area to the entire nominal contact area, is introduced in this study to characterize the clamping reliability. If the value of stick ratio equals to one, the clamping is most reliable, but when it drops to zero, a gross sliding will occur, which means clamping failure. This paper investigates the partial slip phenomenon by solving three-dimensional contacts between elastically dissimilar materials, using the conjugate gradient method (CGM) and discrete convolution-fast Fourier transform (DC-FFT) techniques, but focuses on its industrial applications. Results have demonstrated how the inferential factors, such as material property, normal and tangential loads, operational parameters, and geometric features of the fixture, would affect the clamping reliability, which can be used for guiding the design of the fixture, for example, the choice of material, friction coefficient, fixture’s opening angle, acceleration in manipulation, and so on.

[1]  H. R. Busby,et al.  Elasticity solutions for constant and linearly varying loads applied to a rectangular surface patch on the elastic half-space , 1995 .

[2]  J. Lions,et al.  Inequalities in mechanics and physics , 1976 .

[3]  Edward J. Berger,et al.  A semi-analytical approach to three-dimensional normal contact problems with friction , 2003 .

[4]  Shreyes N. Melkote,et al.  Modeling and experimental verification of partial slip for multiple frictional contact problems , 2008 .

[5]  L. Keer,et al.  A numerical method for solving rough contact problems based on the multi-level multi-summation and conjugate gradient techniques , 1999 .

[6]  K. Johnson,et al.  Surface interaction between elastically loaded bodies under tangential forces , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[7]  Dong Zhu,et al.  Numerical Analysis for the Elastic Contact of Real Rough Surfaces , 1999 .

[8]  D. A. Hills,et al.  Contact of dissimilar elastic cylinders under normal and tangential loading , 1988 .

[9]  D. A. Spence,et al.  Self similar solutions to adhesive contact problems with incremental loading , 1968, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[10]  L. Kogut,et al.  Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat , 2002 .

[11]  D. A. Spence,et al.  An eigenvalue problem for elastic contact with finite friction , 1973, Mathematical Proceedings of the Cambridge Philosophical Society.

[12]  Hertz On the Contact of Elastic Solids , 1882 .

[13]  Subra Suresh,et al.  A three-dimensional analysis of fretting fatigue , 1998 .

[14]  Richard E. DeVor,et al.  Influence of Friction Damping on Workpiece-Fixture System Dynamics and Machining Stability , 2002 .

[15]  Q. Wang,et al.  A versatile method of discrete convolution and FFT (DC-FFT) for contact analyses , 2000 .

[16]  Richard E. DeVor,et al.  An Elastodynamic Model of Frictional Contact and Its Influence on the Dynamics of a Workpiece-Fixture System , 2001 .

[17]  Takahisa Kato,et al.  Influence of a Hard Surface Layer on the Limit of Elastic Contact—Part I: Analysis Using a Real Surface Model , 1997 .

[18]  Hui Wang,et al.  Partial Slip Contact Analysis on Three-Dimensional Elastic Layered Half Space , 2010 .

[19]  L. Gallego,et al.  Modeling of Fretting Wear Under Gross Slip and Partial Slip Conditions , 2007 .

[20]  David Nowell,et al.  On the mechanics of fretting fatigue , 1988 .

[21]  F. Kosior,et al.  Analysis of frictional contact problem using boundary element method and domain decomposition method , 1999 .

[22]  F. Kosior,et al.  Coupling of finite elements and boundary elements methods for study of the frictional contact problem , 2000 .

[23]  Q. Wang,et al.  Studying Contact Stress Fields Caused by Surface Tractions With a Discrete Convolution and Fast Fourier Transform Algorithm , 2001 .

[24]  Raymond D. Mindlin,et al.  Compliance of elastic bodies in contact , 1949 .

[26]  Kaushik A. Iyer Analysis of the Size Effect in Partial-Slip Contact Fatigue , 2005 .

[27]  Wei Chen,et al.  A numerical model for the point contact of dissimilar materials considering tangential tractions , 2008 .

[28]  D. Bogy,et al.  An Elastic-Plastic Model for the Contact of Rough Surfaces , 1987 .