Modeling and control of capacities in human joint gap for unsteady periodic motion and magnetic field

• Autorzy: Wierzcholski K. C.
• Języki publikacji: EN

Abstrakty

EN

This paper presents numerical modeling and control for synovial fluid unsymmetrical hvdrodynamic lubrication of human joints in periodically changed time and unsteady magnetic field. We assume that bonehead in human joint moves in two different directions. Basic equations are solved on the analytical and numerical way. Numerical calculations are performed in Mathcad 2000 Professional Program, using the method of Finite Differences. Stability of numerical solutions of partial differential equations was examined.

Słowa kluczowe

EN

human joint; numerical modelling; synovial fluid; human joint lubrication

PL

staw człowieka; modelowanie numeryczne; ciecz synowialna; smarowanie stawów człowieka

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Journal of Applied Computer Science
• Rocznik: 2004
• Tom: Vol. 12, nr 1
• Strony: 127--148
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Wierzcholski K. C.

• Gdynia Maritime University, Faculty of Marine Engineering, 81-87 Morska St., 81-225 Gdynia,

Bibliografia

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• [2] Kącki E.: Równania różniczkowe cząstkowe w zagadnieniach fizyki i techniki. WNT Warszawa, 1989.
• [3] Mow V.C., Holmes M.H., Lai, W.M.: Fluid transport and mechanical properties of articular cartilage. Journal of Biomechanics; 1984,17,337-394,1984.
• [4] Mow V.C., Ratcliffe A., Woo S.: Biomechanics of Diarthrodial Joints, Springer Verlag Berlin, Heidelberg, New York, 1990.
• [5] Mow V.C., Soslowsky, LJ. Friction, lubrication and wear of diarthrodial joints. [In:] Mow VC., Hayes WC, (eds.), Basic orthopedic biomechanics. New York: Raven Press; 254-291,1991.
• [6] Mow V.C., Guilak, F.: Cell Mechanics and Cellular Engineering Berlin, Heidelberg, New York, Springer Verlag, 1994.
• [7] Wierzcholski K., Pytko S.: Analytical calculations for experimental dependences between shear rate and synovial fluid viscosity. Proc.of Intemat.Tribology Conference Japan Yokohama, 1995, Vol.3. pp. 1975-1980.
• [8] Wierzcholski K.: Oil velocity and pressure distribution in short journal bearing under Rivlin Ericksen lubrication. 1998,SAMS,System Analysis Modeling and Simulations OPA Overseas Publishers. Assoc. N.V. vol., 32,205-228.
• [9] Wierzcholski K.: The method of solutions for hydrodynamic lubrication by synovial fluid flow in human joint gap. Control and Cybernetics, 2002, vol. 31, No. 1, ISSN 0324-8569, 91-116.