Contact, gapping and sliding are apparent in most of today’s industry sectors. For example many manufacturing processes including material forming, shrink fitting and casting – involve these phenomena. Similarly, there are everyday occurrences in the interaction of structural and mechanical components, e.g. in roller bearings, gear movements and bolted connections.
This report presents details of ten benchmark problems involving contact, gapping and sliding. The benchmarks have been selected to illustrate the principal issues associated with the numerical solution of these phenomena and to introduce the current methodology and terminology relating to such problems.
The report presents a classification of contact, gapping and sliding problems and associated technical challenges, and the identification of physical attributes to be addressed in potential benchmarks. A background summary of various numerical approaches and geometric representations currently used for the solution to such problems is also presented.
List of Tables | 1 |
List of Figures | 3 |
1. Introduction | 5 |
2. Technical background | 7 |
3. Scope and objectives | 9 |
4. Definitions | 11 |
5. Classification of contact problems | 13 |
5.1 Physical attributes | |
5.2 Numerical solution techniques | |
5.3 Geometric representation | |
6. Pitfalls in FE analysis | 21 |
7. Summary of main contact issues | 23 |
8. Selected benchmark problems | 25 |
9. References | 35 |
Table 1 Matrix of attributes covered by the selected benchmark problem | 37 |
Figs. 1-23 Benchmark Figures | 39 |
Figure 1 | Contact patch test (CGS - 1) |
Figure 2 | Results of contact pressure for regular mesh model 1 (CGS - 1) |
Figure 3 | Results of contact pressure for regular mesh model 2 (CGS - 1) |
Figure 4 | Results of contact pressure for irregular mesh models 3 and 4 (CGS - 1) |
Figure 5 | Rigid punch on a deformable foundation (CGS - 2) |
Figure 6 | FE model and results of contact pressures (CGS - 2) |
Figure 7 | Hertzian contact (CGS - 3) |
Figure 8 | FE model and contact pressures (CGS - 3) |
Figure 9 | Sliding wedge with linear springs (CGS - 4) |
Figure 10 | FE model and horizontal displacements (CGS - 4) |
Figure 11 | Cantilevered beam loaded against a rigid curvilinear surface (CGS - 5) |
Figure 12 | FE model and deflections at free end of the cantilever beam (CGS - 5) |
Figure 13 | Bending of a plate over a stiff cylinder (CGS - 6) |
Figure 14 | FE model and contact pressure (CGS - 6) |
Figure 15 | Sliding and rolling of a ring on a rigid surface (CGS - 7) |
Figure 16 | FE model and displacements for a fine mesh model (CGS - 7) |
Figure 17 | FE model and displacements for a coarse mesh model (CGS - 7) |
Figure 18 | Two contacting rings (CGS - 8) |
Figure 19 | FE model and climbing distances (CGS - 8) |
Figure 20 | Buckling of a curved column with self-contact (CGS - 9) |
Figure 21 | FE model and reaction forces against vertical displacement at top (CGS - 9) |
Figure 22 | Interference between two cylinders (CGS - 10) |
Figure 23 | FE model and contact pressures between external and internal cylinders (CGS - 10) |
Reference | R0081 |
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Authors | Prinja. N Feng. Q |
Language | English |
Audience | Analyst |
Type | Publication |
Date | 1st January 2001 |
Region | Global |
Order Ref | R0081 Book |
---|---|
Member Price | £25.00 | $32.66 | €29.88 |
Non-member Price | £75.00 | $97.98 | €89.63 |
Order Ref | R0081 Download |
---|---|
Member Price | £25.00 | $32.66 | €29.88 |
Non-member Price | £75.00 | $97.98 | €89.63 |
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