Three-dimensional finite element computations for frictional contact problems with non-associated sliding rule

2004 ◽  
Vol 60 (12) ◽  
pp. 2045-2076 ◽  
Author(s):  
M. Hjiaj ◽  
Z-Q Feng ◽  
G. de Saxcé ◽  
Z. Mróz
2001 ◽  
Vol 17 (4) ◽  
pp. 189-199
Author(s):  
Chyuan-Jau Shieh ◽  
Wen-Hwa Chen

ABSTRACTThis work presents a rigorous three-dimensional finite element procedure to analyze belt transmission systems. The frictional contact behavior between the belt and the pulley, which accounts for the power loss of the system and the wear of the belt, is investigated in detail. In addition to adopting the transformation matrix to satisfy the geometric conditions on the contact surfaces, the proposed procedure also uses the modified elements with incremental Wilson displacement modes to improve the accuracy due to bending at the end zones of the contact area for the belt. To demonstrate the accuracy and feasibility of the proposed procedure, the analyses for flat and V belt drives are carried out. Excellent correlations between the calculated results and referenced theoretical/experimental solutions are found. The influences of friction coefficients on the deformation, normal and tangential contact forces on the contact surfaces are studied as well. Those will be helpful for the estimation of wear properties and operation efficiency for belt transmission systems.


Author(s):  
S G Park ◽  
B M Kwak

A combination of conventional two-dimensional finite elements and a Fourier series expansion in the tangential direction is shown to be efficient for modelling an elastic three-dimensional frictionless contact problem of geometrically axisymmetric bodies under non-axisymmetric external loads. For the solution procedure, the governing partial differential equations and contact conditions on the contact surface are formulated into an equivalent minimization problem with constraints. It is shown that the resulting objective function can be expressed as the sum of decoupled contributions from each harmonic. A modified simplex method is used to solve this quadratic programming problem. An example problem, motivated from a modular prosthesis design for artificial joint replacements, has shown the significant computational efficiency of this approach as compared to a conventional full three-dimensional finite element method.


2007 ◽  
Vol 35 (3) ◽  
pp. 226-238 ◽  
Author(s):  
K. M. Jeong ◽  
K. W. Kim ◽  
H. G. Beom ◽  
J. U. Park

Abstract The effects of variations in stiffness and geometry on the nonuniformity of tires are investigated by using the finite element analysis. In order to evaluate tire uniformity, a three-dimensional finite element model of the tire with imperfections is developed. This paper considers how imperfections, such as variations in stiffness or geometry and run-out, contribute to detrimental effects on tire nonuniformity. It is found that the radial force variation of a tire with imperfections depends strongly on the geometrical variations of the tire.


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