Static friction indeterminacy problems and modeling of stick-slip phenomenon in discrete dynamic systems

Żardecki, D.

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Tytuł artykułu

Static friction indeterminacy problems and modeling of stick-slip phenomenon in discrete dynamic systems

Autorzy

Żardecki D.

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Warianty tytułu

Problemy nieokreśloności tarcia statycznego i modelowanie zjawiska stick-slip w układach dyskretnych

Języki publikacji

Abstrakty

The paper presents a new method of modeling of the friction action in discrete dynamic systems in cases of undetermined distribution of static friction forces. This method is based on the Gauss Principle and the piecewise linear luz( ... ) and tar( ... ) projections with their original mathematical apparatus. The derived variable-structure model of a two-body system with three frictional contacts describes the stick-slip phenomenon in detail. The model has an analytical form applicable to standard (without iterations) computational procedures.

W artykule przedstawia się nową metodę modelowania procesów stick-slip w dyskretnych układach dynamicznych z tarciami dopuszczającą nieokreśloność rozkładu sił tarcia statycznego. Metoda opiera się na zasadzie Gaussa oraz wykorzystaniu specjalnych przedziałami liniowych odwzorowań luz(...) i tar(...) z ich oryginalnym aparatem matematycznym. W pracy prezentowane jest szczegółowe wyprowadzenie modelu opisującego stick-slip w układzie 2 masowym z 3 miejscami tarcia. Dzięki zastosowaniu odwzorowań luz(...) i tar(...) modele układów z tarciem mają analityczne formy przystosowane do standardowych procedur symulacyjnych.

Słowa kluczowe

static friction force indeterminacy stick-slip multibody systems mathematical modeling Gauss principle piecewise linear projections

Wydawca

Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej

Czasopismo

Journal of Theoretical and Applied Mechanics

Rocznik

2007

Tom

Vol. 45 nr 2

Strony

289--310

Opis fizyczny

Bibliogr. 32 poz., rys.

Twórcy

autor

Żardecki D.

Automative Industry Institute (PIMOT), Warsaw, dariuszzardecki@aster.pl

Bibliografia

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28. Żardecki D., 2001, The luz (. . .) and tar (. . .) projections – a theoretical back-ground and an idea of application in a modeling of discrete mechanical systems with backlashes or frictions, Biuletyn WAT, L, 5, 125-160 [in Polish]
29. Żardecki D., 2005, Piecewise-linear modeling of Dynamic systems with freeplay and friction, Proc. of the 8th DSTA Conference, TU of Łź Pub., 321-332
30. Żardecki D., 2006a, Piecewise linear luz (. . .) and tar (. . .) projections. Part 1 – Theoretical background, Journal of Theoretical and Applied Mechanics, 44, 1, 163-184
31. Żardecki D., 2006b, Piecewise linear luz (. . .) and tar (. . .) projections. Part 2 – Application in modeling of dynamic systems with freeplay and friction, Journal of Theoretical and Applied Mechanics, 44, 1, 185-202
32. Żardecki D., 2006c, Piecewise linear modeling of friction and stick-slip phenomenon in discrete dynamic systems, Journal of Theoretical and Applied Mechanics, 44, 2, 255-277

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Bibliografia

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