Contact problems can be converted into the spatial frequency domain using Fast Fourier Transform (FFT) techniques. Spectral analysis is used to develop an algebraic relationship between the surface displacement and the contact pressure. This relationship can be used to find the contact pressure or displacement for the contact of smooth surfaces or the complete contact of rough surfaces. In addition to providing rapid, robust solutions to contact problems, the algebraic relationship contains details of the relationship between surface displacement and contact pressure on different length scales. In particular, it is shown that the frequency composition of pressure is similar to that for slope of the surface displacement. Thus, the high frequency content of the surface profile gives rise to high localized contact pressure, in some cases singular pressure for complete contact. However, measurement limitations always lead to the omission of certain high frequency components of the surface profile. Assuming that the high frequency content of the surface profile obeys a power law, spectral analysis is also used to estimate partial contact parameters. This result relates the exponent of the power law to the contact pressure and implied surface integrity. It is concluded that spectral analysis can be combined with the FFT to provide a useful technique for classifying rough surface contacts.
Skip Nav Destination
Article navigation
April 1996
Research Papers
Spectral Analysis of Two-Dimensional Contact Problems
Y. Ju,
Y. Ju
School of Aeronautics and Astronautics, Purdue University, 1282 Grissom Hall, West Lafayette, IN 47907-1282
Search for other works by this author on:
T. N. Farris
T. N. Farris
School of Aeronautics and Astronautics, Purdue University, 1282 Grissom Hall, West Lafayette, IN 47907-1282
Search for other works by this author on:
Y. Ju
School of Aeronautics and Astronautics, Purdue University, 1282 Grissom Hall, West Lafayette, IN 47907-1282
T. N. Farris
School of Aeronautics and Astronautics, Purdue University, 1282 Grissom Hall, West Lafayette, IN 47907-1282
J. Tribol. Apr 1996, 118(2): 320-328 (9 pages)
Published Online: April 1, 1996
Article history
Received:
March 9, 1995
Revised:
July 11, 1995
Online:
January 24, 2008
Citation
Ju, Y., and Farris, T. N. (April 1, 1996). "Spectral Analysis of Two-Dimensional Contact Problems." ASME. J. Tribol. April 1996; 118(2): 320–328. https://doi.org/10.1115/1.2831303
Download citation file:
Get Email Alerts
Related Articles
A Fast and Accurate Method for Numerical Analysis of Elastic Layered Contacts
J. Tribol (January,2000)
Determining a Surrogate Contact Pair in a Hertzian Contact Problem
J. Tribol (April,2011)
Fretting Contact Analysis on Three-Dimensional Elastic Layered Half Space
J. Tribol (July,2011)
Fast Fourier Transform Based Numerical Methods for Elasto-Plastic Contacts of Nominally Flat Surfaces
J. Appl. Mech (January,2008)
Related Proceedings Papers
Related Chapters
Automatic Silence/Sonorant/Non-Sonorant Detection Based on Multi-Resolution Spectral Analysis and Anova Method
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)
Spectral Analysis of Finite Amplitude Random Wave Loadings
International Conference on Mechanical and Electrical Technology 2009 (ICMET 2009)
Global Mode Visualization in Cavitating Flows
Proceedings of the 10th International Symposium on Cavitation (CAV2018)