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Control contribution for wear bearing recurrence process

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Języki publikacji
EN
Abstrakty
EN
This paper presents the methods of control problem solutions using recurrence equations implementation and UOS transformation for the bearing wear estimation during the finite and infinite time units of an operation process. If we have two wear value increase processes then very important is information which process is divergent more slowly. On the other hand, in comparison with two convergent processes we must decide which process is convergent more quickly. The wear process is determined mostly by the summation factor method. Such a method is applied for the solutions of recurrence equations with variable coefficients.
Twórcy
  • Institute of Technology and Education, Koszalin University of Technology, 2 Śniadeckich St., 75-453 Koszalin, Poland
autor
  • Gdynia Maritime University, 81-87 Morska St., 81-225 Gdynia, Poland
Bibliografia
  • [1] B. Bhushan, “Nano-tribology and Nano-mechanics of Mems/Nems and Bio-Mems, Bio-Nems materials and devices”, Microelectronic Engineering 84, 387-412 (2007).
  • [2] N. Center, “Developments of a lean, green automobile”, Tribology and Lubrication Technology 60, 15-16 (2004).
  • [3] A. Kapoor, Modern Tribology Handbook, vol. 2, pp. 1187-1229, FL. ORC Press Boca Raton, 2009.
  • [4] K.C. Ludema, Friction, Wear, Lubrication, CRC Press, London, 1996.
  • [5] K. Wierzcholski, S. Chizhik, A. Trushko, M. Zbytkova, and A. Miszczak, “Properties of cartilage on macro and nano-level”, Advances in Tribology, http://www.hindawi.com/journals/at/2010/243150/, Hind. Pub. Corp., NY, 2010.
  • [6] G.H. Jang, C.H. Seo, and Ho Scong Lee, “Finite element model analysis of an HDD considering the flexibility of spinning disc-spindle”, Microsystem Technologies 13, 837-847 (2007).
  • [7] C.Q. Yuan, Z. Peng, X.P. Yan, and X.C. Zhou, “Surface roughness evaluation in sliding wear process”, Wear 265, 341-348 (2008).
  • [8] L.J. Yang, “A test methodology for the determination of wear coefficient”, Wear 259, 1453-1461 (2005).
  • [9] I. Koźniewska, Recurrence Equations, PWN, Warsaw, 1973, (in Polish).
  • [10] H. Levy and F. Lessman, Finite Recurrence Equations, PWN, Warsaw, 1966, (in Polish).
  • [11] K.S. Miller, Linear Difference Equations, W.A. Benjamin, N.Y., 1968.
  • [12] A. Kiełbasiński and K. Schwetlick, Linear Numerical Algebra, WNT, Warsaw, 1994, (in Polish).
  • [13] I. Babuska and T. Strouboulis, The Finite Element Method and Its Reliability, Clarendon Press, Oxford, 2001.
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  • [16] I. Babuska and S. Ohnimus, “A posteriori error estimation for the semi-discrete finite element method of parabolic differential equations”, Computer Methods in Applied Mechanics and Engineering 190 (35-36), 4691-4712 (2001).
  • [17] L. Demkowicz, J. Gopalakrishman, “A class of discontinuous Petrov-Galerkin methods. II. Optimal test Functions”, Num. Math. for Part. Diff. Eq. 27, 70-105 (2011).
  • [18] T. Kaczorek, “Computation of positive stable realization for linear continuous-time systems”, Bull. Pol. Ac. of Sci.: Tech. 59 (3), 273-281 (2011).
  • [19] T. Kaczorek, “Stability of continuous-discrete linear systems described by the general model”, Bull. Pol. Ac. Sci.: Tech. 59 (2), 189-192 (2011).
  • [20] K. Wierzcholski, “Unified summation equations and their applications in tribology wear process”, Bull. Pol. Ac. Sci.: Tech. 61 (2), 405-417 (2013).
  • [21] A.A. Ralston, First Course in Numerical Analysis, PWN, Warsaw, 1971, (in Polish).
  • [22] K. Wierzcholski, “Solutions of recurrence and summation equations and their applications in slide bearing wear calculations”, J. Kones Powertrain and Transport 19 (2), 543-550 (2012).
  • [23] K. Wierzcholski, About Some n-order Recurrence, State Scientific Publishing House Pol. Acad. of Sci. (PWN), Warsaw, 1975, (in Polish).
  • [24] Z. Pawlak, W. Urbaniak, and A. Oloyede, “The relationship between friction and wet ability in aqueous environment”, Wear 171, 1745-1749 (2011).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-84ab00d3-c558-4c4b-95f4-89d68e172361
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