Recurrent nets for tribology solutions

• Autorzy: Wierzcholski K.
• Języki publikacji: EN

Abstrakty

EN

The contemporary problems of numerical calculations ocurring in powertrain tribology and transport problems demand the more and more exactness for obtained results.Moreover in performed calculations very important is the convergence, stability and reliability of the gained numerical values. The main scientific topic of the presented paper concerns the method of the determination of the optimum net for numerical calculations of partial difference and recurrence equations. The abovementioned optimum difference and recurrence method is referring to the stability of obtained particular and general numerical solutions and assures the convergence process of obtained calculation values. The Unit Net Region (UNR) was assumed at first for Laplace Operator. The optimum of the nod geometry localization was examined at first for UNR. The optimization index is defined and derived for UNR to determine the most useful net among the various geometries of the nods localization during the difference methods performances of partial recurrence numerical calculations. In the next considerations had been proved the corollary, where taking into account the optimum UNR, we can create optimum nets for other numerous partial difference and recurrence equations in discrete spaces. For example the numerous calculation results of presented optimum net for recurrent calculations are applied for numerical solutions of a Reynolds partial recurrence equation with variable coefficients in curvilinear orthogonal coordinates for curvilinear boundary conditions, and for other numerical problems occurring in applied and hydrodynamics.

Słowa kluczowe

EN

pressure changes in gap height direction; HDD micro-bearings; viscoelastic lubrication

• Wydawca: Łukasiewicz Research Network - Institute of Aviation ; European Science Society of Powertrain and Transport KONES Poland ; Wydawnictwo Instytutu Technicznego Wojsk Lotniczych
• Czasopismo: Journal of KONES
• Rocznik: 2013
• Tom: Vol. 20, No. 2
• Strony: 401--408
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Wierzcholski K.

• Technical University of Koszalin Institute of Technology and Education Śniadeckich Street 2, 75-453 Koszalin, Poland tel.: [phone], fax: [phone]

Bibliografia

• [1] Babuska, I., Strouboulis, T., The Finite Element Method and its Reliability, Clarendon Press Oxford 2001.
• [2] Babuska, I., Chleboun, J., Effect of Uncertainties in the Domain on the Solution of Dirichlet Boundary Value Problem, Numerisch Mathematik, 93, pp. 583-610, 2003.
• [3] Babuska, I., Oden, T., Belytschko, T., Hughes, T. J. R., Research Directions in Computational Mechanics, Computer Methods in Applied Mechanics and Engineering, Vol. 192, pp. 913-922, 2003.
• [4] Kosma, Z., Numerical Methods in Engineering Applications (Metody numeryczne dla zastosowań inżynierskich), Politechnika Radomska, 1999.
• [5] Wierzcholski, K., Mathematical Implementation into Computer Calculations for Micro-Bearing Capacities, XIII Journal of Applied Computer Science, Vol. 18, No. 1, pp. 117-135, 2010.
• [6] Wierzcholski, K., Miszczak, A., Load Carrying Capacity of Microbearing with Parabolic Journal, Solid State Phenomena, Vols. Mechatronic Systems and Materials III, Vol. 147-149, pp. 542-547, 2009.
• [7] Wierzcholski, K., Nowakowska, K., Pseudo-Gaussian Density Function for Gap Height Between Two Surfaces, XIII Journal of Applied Computer Science, Vol. 18, No. 2, pp. 79-90, 2010.