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Keyword: fast Fourier transforms
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Journal Articles
Article Type: Research Papers
J. Tribol. October 2011, 133(4): 041404.
Published Online: October 14, 2011
... based on the robust Conjugate Gradient method and Fast Fourier transform has been developed to solve the normal approach, contact pressure, and real contact area simultaneously. The transient contact analysis in the time domain is computationally expensive. The fast Fourier transform algorithm can help...
Journal Articles
Article Type: Research Papers
J. Tribol. July 2011, 133(3): 031401.
Published Online: June 21, 2011
... analytical relations between a unit stress and corresponding displacements or stresses were obtained through the use of the Papkovich–Neuber potentials. Conjugate gradient method (CGM) and fast Fourier transform (FFT) technique were employed to increase the solution speed. The algorithm was very effective...
Journal Articles
Article Type: Research Papers
J. Tribol. April 2010, 132(2): 021403.
Published Online: March 11, 2010
... calculating the displacements and stresses were determined in the frequency domain by using the Papkovich–Neuber potentials. The partial slip contact problem was solved by a numerical procedure based on the conjugate Gradient method and fast Fourier transform technique. The contact pressure, surface shear...
Journal Articles
Article Type: Research Papers
J. Tribol. April 2009, 131(2): 021408.
Published Online: March 9, 2009
..., DC-FFT S and DC-CC-FFT algorithms are proposed. The DC-FFT S algorithm is a modified discrete convolution and fast Fourier transform algorithm with superposition of influence coefficients. The DC-CC-FFT algorithm is a hybrid fast Fourier transform based algorithm, which combines the discrete...
Journal Articles
Article Type: Research Papers
J. Tribol. April 2009, 131(2): 021703.
Published Online: March 9, 2009
... roughness deformation, which is calculated using the fast fourier transform. In this paper we provide a review of the latest developments in the amplitude reduction technique and we present a probabilistic EHL algorithm for the computation of the load supported by the fluid, the elastically deformed...
Journal Articles
Article Type: Research Papers
J. Tribol. April 2009, 131(2): 021406.
Published Online: March 6, 2009
... significant increase in computational burden. The discrete convolution and fast Fourier transform and the conjugate gradient method are utilized to improve the computation efficiency. The present model is used to study the case of a half-space sliding over a stationary sphere, and both are made of 7075...
Journal Articles
Article Type: Research Papers
J. Tribol. October 2008, 130(4): 041402.
Published Online: August 6, 2008
... counterformal bodies has been developed, which takes into account steady state heat flux, temperature-dependent strain hardening behavior, and interaction of mechanical and thermal loads. The fast Fourier transform and conjugate gradient method are the underlying numerical algorithms used in this model. Sliding...
Journal Articles
Article Type: Research Papers
J. Tribol. January 2008, 130(1): 011004.
Published Online: December 6, 2007
... significantly reduce the computational efforts associated with surface deformation and temperature calculation, the fast Fourier transform algorithm is implemented. 04 08 2006 27 06 2007 06 12 2007 deformation elastodynamics fast Fourier transforms hydrodynamics lubrication...
Journal Articles
Article Type: Technical Papers
J. Tribol. October 2007, 129(4): 791–800.
Published Online: June 7, 2007
... integral formulation or semi-analytical method. The application of both the conjugate gradient method and the discrete convolution and fast Fourier transform technique allows keeping the computing time reasonable when performing transient 3D simulations while solving the contact problem and calculating the...
Journal Articles
Article Type: Technical Papers
J. Tribol. July 2007, 129(3): 509–516.
Published Online: February 2, 2007
...Yuchuan Liu; W. Wayne Chen; Dong Zhu; Shuangbiao Liu; Q. Jane Wang An elastohydrodynamic lubrication (EHL) model for coated surfaces in point contacts has been developed by combining the elastic deformation formulation for the coated surfaces with an EHL model. Inverse fast Fourier transform (IFFT...
Journal Articles
Article Type: Technical Papers
J. Tribol. April 2007, 129(2): 235–245.
Published Online: November 27, 2006
... displacement-driven (dd). Both formulations use the conjugate gradient method and the discrete convolution and fast Fourier transform (DC-FFT) technique. A validation of the code is made in the case of the displacement-driven formulation for an elastic-plastic body in contact with a rigid punch, simulating a...
Journal Articles
Article Type: Research Papers
J. Tribol. July 2006, 128(3): 476–485.
Published Online: March 1, 2006
... the center of pressure may be imposed. The effect of surface shear stress is considered through a Coulomb friction coefficient. The conjugate gradient scheme presented by Polonsky and Keer (1999, Wear, 231, pp. 206–219 ) and an improved fast Fourier transform (FFT) acceleration technique similar to...
Journal Articles
Article Type: Research Papers
J. Tribol. January 2006, 128(1): 18–31.
Published Online: August 18, 2005
... principle with fast Fourier transform scheme. The effective hardness is modeled and plays a role when the local displacement meets the maximum displacement criterion. Simulations are performed to obtain the contact pressures, fractional total contact area, fractional plastic contact area, surface/subsurface...
Journal Articles
Article Type: Article
J. Tribol. April 2005, 127(2): 355–364.
Published Online: April 7, 2005
... for surface normal displacement, temperature, and strain and stress tensors are used with the discrete convolution and fast Fourier transform algorithm. The single-loop conjugate gradient iteration scheme is also applied to achieve fast convergence speed. Simulations are presented for several academic...
Journal Articles
Article Type: Research Papers
J. Tribol. July 2005, 127(3): 494–502.
Published Online: March 24, 2005
... strain are obtained and compared with the results of the finite element method models without hardening. Some techniques, such as fast Fourier transform and fast convergence method, are used to increase the computation speed. 23 06 2004 24 03 2005 elastoplasticity mechanical contact...
Journal Articles
Article Type: Research Papers
J. Tribol. January 2006, 128(1): 59–66.
Published Online: February 9, 2005
... solids are treated using a method based on the integral Fourier transform and solved with a fast Fourier transform algorithm. The pressure for incompressible, Newtonian fluid and for steady state conditions is given by the Reynolds equation 1 ∂ ∂ x ( h 3 η ∂ p ∂ x...
Journal Articles
Article Type: Technical Papers
J. Tribol. January 2004, 126(1): 162–170.
Published Online: January 13, 2004
... Editor: J. L. Streator. 18 February 2002 05 May 2003 13 01 2004 mechanical contact lubrication viscosity tribology modelling friction point contacts convolution fast Fourier transforms algorithm theory hydrodynamics temperature distribution surface topography rough...
Journal Articles
Article Type: Technical Notes
J. Tribol. October 2003, 125(4): 862–868.
Published Online: September 25, 2003
... with regularly distributed heat. In this work, irregularly distributed frictional heat is applied on the surface of a moving body. Temperature and surface normal thermoelastic displacement are solved by using an efficient numerical procedure involving the discrete convolution and fast Fourier transform...
Journal Articles
Article Type: Technical Papers
J. Tribol. January 2002, 124(1): 36–45.
Published Online: June 19, 2001
.... The fast Fourier Transform technique is likely to play an important role in contact analyses. It has been shown that the accuracy in an algorithm with the fast Fourier Transform is closely related to the convolution theorem employed. The algorithm of the discrete convolution and fast Fourier Transform...
Journal Articles
Article Type: Technical Papers
J. Tribol. July 2000, 122(3): 519–523.
Published Online: September 21, 1999
...Jianqun Gao; Si C. Lee; Xiaolan Ai; Harvey Nixon A transient flash temperature model was developed based on a Fast Fourier Transform method. An analytical expression for the heat partition function was obtained. Together, these substantially increase the speed of flash temperature calculations. The...