A versatile method of discrete convolution and FFT (DC-FFT) for contact analyses

S. Liu; Q. Wang; G. Liu

doi:10.1016/S0043-1648(00)00427-0

A versatile method of discrete convolution and FFT (DC-FFT) for contact analyses

S. Liu^*, Q. Wang, G. Liu

^*Corresponding author for this work

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

624 Scopus citations

Abstract

The fast Fourier transform (FFT) technology has been introduced into the process of contact analyses. However, a problem may occur at the borders of the domain due to a periodic error involved. In order to obtain reasonable results, an expedient treatment requires a computational physical domain much larger than the target domain at the cost of calculation efficiency. This paper studies the source of the error and investigates the methods that can help avoid this error and improve the efficiency. Discrete convolution and FFT (DC-FFT) is first adopted instead of the method of continuous convolution and Fourier transform for the contact problems. A few approaches based on the DC-FFT method are presented and numerical results are compared. (C) 2000 Published by Elsevier Science S.A.

Original language	English (US)
Pages (from-to)	101-111
Number of pages	11
Journal	Wear
Volume	243
Issue number	1-2
DOIs	https://doi.org/10.1016/S0043-1648(00)00427-0
State	Published - Aug 2000

Keywords

Contact analyses
Discrete convolution and FFT (DC-FFT)
Fourier transform

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Surfaces and Interfaces
Surfaces, Coatings and Films
Materials Chemistry

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10.1016/S0043-1648(00)00427-0

Cite this

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title = "A versatile method of discrete convolution and FFT (DC-FFT) for contact analyses",

abstract = "The fast Fourier transform (FFT) technology has been introduced into the process of contact analyses. However, a problem may occur at the borders of the domain due to a periodic error involved. In order to obtain reasonable results, an expedient treatment requires a computational physical domain much larger than the target domain at the cost of calculation efficiency. This paper studies the source of the error and investigates the methods that can help avoid this error and improve the efficiency. Discrete convolution and FFT (DC-FFT) is first adopted instead of the method of continuous convolution and Fourier transform for the contact problems. A few approaches based on the DC-FFT method are presented and numerical results are compared. (C) 2000 Published by Elsevier Science S.A.",

keywords = "Contact analyses, Discrete convolution and FFT (DC-FFT), Fourier transform",

author = "S. Liu and Q. Wang and G. Liu",

note = "Funding Information: The authors would like to acknowledge the supports from National Science Foundation and Office of Naval Research, and would like to thank Dr. Igor Polonsky for valuable discussions. Mr. Michael J. Rodgers helped to find the frequency response function, Eq. (A.12) . ",

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T1 - A versatile method of discrete convolution and FFT (DC-FFT) for contact analyses

AU - Liu, S.

AU - Wang, Q.

AU - Liu, G.

N1 - Funding Information: The authors would like to acknowledge the supports from National Science Foundation and Office of Naval Research, and would like to thank Dr. Igor Polonsky for valuable discussions. Mr. Michael J. Rodgers helped to find the frequency response function, Eq. (A.12) .

PY - 2000/8

Y1 - 2000/8

N2 - The fast Fourier transform (FFT) technology has been introduced into the process of contact analyses. However, a problem may occur at the borders of the domain due to a periodic error involved. In order to obtain reasonable results, an expedient treatment requires a computational physical domain much larger than the target domain at the cost of calculation efficiency. This paper studies the source of the error and investigates the methods that can help avoid this error and improve the efficiency. Discrete convolution and FFT (DC-FFT) is first adopted instead of the method of continuous convolution and Fourier transform for the contact problems. A few approaches based on the DC-FFT method are presented and numerical results are compared. (C) 2000 Published by Elsevier Science S.A.

AB - The fast Fourier transform (FFT) technology has been introduced into the process of contact analyses. However, a problem may occur at the borders of the domain due to a periodic error involved. In order to obtain reasonable results, an expedient treatment requires a computational physical domain much larger than the target domain at the cost of calculation efficiency. This paper studies the source of the error and investigates the methods that can help avoid this error and improve the efficiency. Discrete convolution and FFT (DC-FFT) is first adopted instead of the method of continuous convolution and Fourier transform for the contact problems. A few approaches based on the DC-FFT method are presented and numerical results are compared. (C) 2000 Published by Elsevier Science S.A.

KW - Contact analyses

KW - Discrete convolution and FFT (DC-FFT)

KW - Fourier transform

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A versatile method of discrete convolution and FFT (DC-FFT) for contact analyses

Abstract

Keywords

ASJC Scopus subject areas

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