Analytical and finite element solution of the sliding frictional contact problem for a homogeneous orthotropic coating‐isotropic substrate system

2019 ◽  
Vol 99 (3) ◽  
pp. e201800117 ◽  
Author(s):  
K. B. Yilmaz ◽  
İ. Çömez ◽  
M. A. Güler ◽  
B. Yildirim
Keyword(s):  
Finite Element ◽  
Contact Problem ◽  
Frictional Contact ◽  
Finite Element Solution ◽  
Element Solution ◽  
Frictional Contact Problem

Transient and Steady-State Dynamic Finite Element Modeling of Belt-Drives

2002 ◽  
Vol 124 (4) ◽  
pp. 575-581 ◽  
Author(s):  
Michael J. Leamy ◽  
Tamer M. Wasfy
Keyword(s):  
Finite Element ◽  
Steady State ◽  
Angular Velocity ◽  
Frictional Contact ◽  
Finite Element Solution ◽  
Belt Drive ◽  
Element Solution ◽  
Dynamic Finite Element ◽  
Time Accuracy ◽  
Transient And Steady State

In this study, a dynamic finite element model is developed for pulley belt-drive systems and is employed to determine the transient and steady-state response of a prototypical belt-drive. The belt is modeled using standard truss elements, while the pulleys are modeled using rotating circular constraints, for which the driver pulley’s angular velocity is prescribed. Frictional contact between the pulleys and the belt is modeled using a penalty formulation with frictional contact governed by a Coulomb-like tri-linear friction law. One-way clutch elements are modeled using a proportional torque law supporting torque transmission in a single direction. The dynamic response of the drive is then studied by incorporating the model into an explicit finite element code, which can maintain time-accuracy for large rotations and for long simulation times. The finite element solution is validated through comparison to an exact analytical solution of a steadily-rotating, two-pulley drive. Several response quantities are compared, including the normal and tangential (friction) force distributions between the pulleys and the belt, the driven pulley angular velocity, and the belt span tensions. Excellent agreement is found. Transient response results for a second belt-drive example involving a one-way clutch are used to demonstrate the utility and flexibility of the finite element solution approach.

On the Finite Element Solution of Fractional Contact Problems Using Variational Inequalities

1994 ◽  
Author(s):  
M. H. Refaat ◽  
S. A. Meguid
Keyword(s):  
Contact Problem ◽  
Variational Inequalities ◽  
Frictional Contact ◽  
Contact Problems ◽  
Penalty Methods ◽  
Test Cases ◽  
Current Investigation ◽  
Element Solution ◽  
Frictional Contact Problem ◽  
Lagrange’S Multipliers

Abstract This article is devoted to the development and implementation of a variational inequalities approach to treat the general frictional contact problem. Unlike earlier studies which adopt penalty methods, the current investigation uses Quadratic Programming and Lagrange’s multipliers to solve the frictional contact problem and to identify the candidate contact surface. The proposed method avoids the use of user defined penalty parameters, which ultimately govern the convergence and accuracy of the solution. To establish the validity of the method, a number of test cases are examined and compared with existing solutions where penalty methods are employed.

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