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Journal ArticleDOI

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

Shuangbiao Liu, +2 more
- 28 Aug 2000 - 
- Vol. 243, Iss: 1, pp 101-111
TLDR
In this article, Discrete convolution and FFT (DC-FFT) is adopted instead of the method of continuous convolutions and Fourier transform for the contact problems.
About
This article is published in Wear.The article was published on 2000-08-28. It has received 613 citations till now. The article focuses on the topics: Split-radix FFT algorithm & Prime-factor FFT algorithm.

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Citations
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Journal ArticleDOI

Frictional contact analysis in a spherical roller bearing

TL;DR: In this article , the exact contact analysis of a spherical roller bearing was carried out using frictional contact models of different complexity, including an implementation of Kalker's exact contact theory named CECT and detailed FE models.
Journal ArticleDOI

Leakage Threshold of a Saddle Point

TL;DR: In this article , the leakage threshold condition for leakage inception is studied by means of a numerical method for a mechanical contact problem between an elastic bi-sinusoidal surface and a rigid flat surface, and a generalized form of solution for the relation between the contact area ratio and the average applied pressure is acquired.
Journal ArticleDOI

Numerical Study on the Influence of the Coating in the Fretting Contact

S. Spinu
Abstract: An existing algorithm for the fretting contact of homogeneous materials is enhanced by incorporating a novel technique for rapid calculation of stresses and displacements in the coated body. State-of-the-art methods for computation of convolution products in the Fourier transform domain allow for fine spatial discretization and accurate reproduction of the loading history. The algorithm is structured on three levels of iterations, and the acceleration of the convolution calculation in the innermost level promises well converged solutions. The frequency response functions derived in the literature are used for the conversion of the required influence coefficients, allowing computation of the half-space response to prescribed loading. The computer program is first validated against the analytical solution for the fretting loop of homogeneous and similarly elastic materials. The refined method is then employed to study the influence of the elastic moduli ratio between the coating and the substrate, on the contact tractions and stresses in the stabilized fretting contact. The presented simulation scenarios prove the method ability to advance the understanding of the transient coated contact. © 2020 Published by Faculty of Engineering * Corresponding author: Sergiu Spinu E-mail: sergiu.spinu@fim.usv.ro Received: 9 September 2019 Revised: 1 November 2019 Accepted: 12 December 2019
Journal ArticleDOI

High-performance tooth flank collaborative optimization model for spiral bevel and hypoid gears

TL;DR: In this paper , an innovative discrete convolution and fast Fourier transformation (DC-FFT) method focusing on the micro-scale tooth flank topography is developed for high-performance spiral bevel and hypoid gears.
References
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MonographDOI

Contact Mechanics: Frontmatter

K. L. Johnson
Book

The Fourier Transform and Its Applications

TL;DR: In this paper, the authors provide a broad overview of Fourier Transform and its relation with the FFT and the Hartley Transform, as well as the Laplace Transform and the Laplacian Transform.
Book

The fast Fourier transform and its applications

TL;DR: This book focuses on the application of the FFT in a variety of areas: Biomedical engineering, mechanical analysis, analysis of stock market data, geophysical analysis, and the conventional radar communications field.
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