... 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...

... 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...

... for 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...

... 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...

... 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 convolution–FFT...

... a 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...

... for 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...

... to significantly reduce the computational efforts associated with surface deformation and temperature calculation, the fast Fourier transform algorithm is implemented. a half-width of Hertzian contact across rolling direction (m) A r radius ratio ( R y ∕ R x ) b...

... on an 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...

...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...

... or 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...

... 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 the one developed...

... 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...

... 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...

... 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. Range III: Fully plastic (2) In Refs. 21 24 the material is restricted...

... in the solids are treated using a method based on the integral Fourier transform and solved with a fast Fourier transform algorithm. The associated heat equation is 18 ∂ 2 T ∂ x 2 + ∂ 2 T ∂ y 2 = 0 Applying the Fourier transform in the x axis, the heat equation...

... viscosity tribology modelling friction point contacts convolution fast Fourier transforms algorithm theory hydrodynamics temperature distribution surface topography rough surfaces The trend of technology development demands machine components, such as gears and rolling bearings...

... 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 algorithm...

.... 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...

...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...