Moving Contact with Friction at an Elastic Strip

• Autorzy: Brommundt E.
• Konferencja: Polish-German Workshop on Dynamical Problems in Mechanical Systems (7 ; 09.2001 ; Koszalin-Osieki, Poland)
• Języki publikacji: EN

Abstrakty

EN

Careful investigations of sliding contact between flexible bodies require detailed formulations of the instantaneous local geometrical and equilibrium conditions at the touching surfaces. For a linearly elastic strip we discretize the dependent variables (displacements, strains, stresses) uniformly with respect to the transversal direction by cubic base-splines but retain the differential equations with respect to the longitudinal coordinate x. Thus, we arrive at a system of PDE's - second order in time, first order in x - which allows to display the essential boundary terms at the surfaces explicitly (that is convenient for the formulation of the contact conditions) and is well suited for numerical integration.

Słowa kluczowe

EN

moving contact with friction; FEM; finite element method

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Problems
• Rocznik: 2001
• Tom: Vol. 25, No. 3/4
• Strony: 21--34
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Brommundt E.

• Technische Universitat Braunschweig

Bibliografia

• 1. Brommundt, E., 1998a, Rollen einer starren Walze auf einem elastischen Streifen, Z. angew. Math. Mech. (ZAMM) 78 (1998), S97-S100.
• 2. Brommundt, E., 1998b, Rolling Contact With Friction of a Cylindrical Wheel on a Strip, Machine Dynamics Problems, 20, 49-72.
• 3. Brommundt, E., 2000, Stability of Motion of an Elastic Wheel Rolling on a Rigid Plane, Machine Dynamics Problems, 24, No. 1, 33-45.
• 4. Johnson, K.L., 1985, Contact Mechanics, Cambridge University Press, Cambridge.
• 5. Krasnoselski, M.A. et al., 1973, Näherungsverfahren zur Lösung von Operatorgleichungen, Akademie-Verlag, Berlin.
• 6. Nackenhorst, U., 2000, Rollkontaktdynamik; Numerische Analyse der Dynamik rollender Körper mit der Finite Elemente Methode, Published by: Institut für Mechanik, Universität der Bundeswehr Hamburg, Hamburg.
• 7. Quarteroni, A., Sacco, R., Saleri, F., 2000, Numerical Mathematics, Springer, New York.
• 8. Stoer, J., Bulirsch, R., 1993, Introduction to Numerical Analysis, Springer-Verlag, New York.
• 9. Washizu, K., 1982, Variational Methods in Elasticity and Plasticity, 3. ed., Pergamon Press, Oxford etc.