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Abstrakty
Efficient functioning of slide micro-bearings systems especially HDD micro-bearing require to recognition and modulation of the proper values of the friction forces and wear during the exploitation time. Possibility of modulation and control of mentioned problem belong to the artificial intelligence of HDD micro-bearing. This paper presents the some applications of summation equations regard to the calculation prognosis of micro-bearing parameters such as friction forces, ,friction coefficients and wear .Summation equations are presented a new form of difference and recurrence equations where the unknown function occurs as the argument of the reciprocal unified operator of summation (UOS) Presented problem describes not continuous relations hence determines the mathematical and numerical solutions in discrete spaces. Properly in the case of continuous functions, the mentioned summation equations have the same meaning as integral equations. This paper will present the transformation method of summation equations to recurrent equations. Recurrent equations for discrete function correspond to differential equations for the continuous function. The Application of presented theory in this paper contains the numerical solutions referring the wear values of HDD bearing system in the indicated period of operating time.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Strony
463--470
Opis fizyczny
Bibliogr. 12 poz., rys.
Twórcy
autor
- Technical University of Koszalin, Institute of Mechatronics Nanotechnology and Vacuum Technique Śniadeckich Street 2, 75-453 Koszalin, Poland phone: +48 94 3478344, fax: +48 94 3426753, krzysztof.wierzcholski@wp.pl
Bibliografia
- [1] Bharat, B., Nano-tribology and nanomechanics of MEMS/NEMS and BioMEMS, BioNEMS materials and devices, Microelectronic Engineering, 84, pp. 387-412, 2007.
- [2] Jang, G. H., Seo, C.H., Ho Scong, Lee, Finite element model analysis of an HDD considering the flexibility of spinning disc-spindle, head-suspension-actuator and supporting structure. Microsystem Technologies, 13, pp. 837-847, 2007.
- [3] Jury, E. J., The Theory of Applications of the Z Transform Method. J. Willey Co.,New York 1964.
- [4] Kącki, E., Równania różniczkowe cząstkowe w zagadnieniach fizyki i techniki. WNT, Warszawa 1989.
- [5] Koźniewska, I., Równania rekurencyjne. PWN, Warszawa 1973.
- [6] Levy, H., Lessman, F., Równania różnicowe skończone, PWN, Warszawa 1966.
- [7] Maciąg, A., Wave polynomials in elasticity problems, Engineering Transactions, 55 (20), pp.129-153, 2007.
- [8] Mikusinski, J., Rachunek operatorów. PWN, Warszawa 1957.
- [9] Miller, K.S., Linear difference equations, New York 1968.
- [10] Miller, K.S., An introduction to the cal90culus of finite difference and difference equations. MCGraw-Hill Book Co. INC, New York 1960.
- [11] Ralston, A., A First Course in Numerical Analysis, (in Polish), PWN, Warszawa 1971.
- [12] Wierzcholski, K., Enhancement of memory capacity in HDD micro- bearing with hyperbolic journals, Journal of KONES powertrain and Transport, Vol.15, No.3, pp.555-560, Warsaw 2008.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUJ5-0039-0057