On the analytical solution for the slewing flexible beam-like system: analysis of the linear part of the perturbed problem

• Autorzy: Fenili A. , Balthazar J. M.

Warianty tytułu

PL

O analitycznym rozwiązaniu dla układu podatnej belki obrotowej: analiza części liniowej zagadnienia perturbowanego

• Języki publikacji: EN

Abstrakty

EN

The dynamical system investigated in this work is a nonlinear flexible beam-like structure in slewing motion. Non-dimensional and perturbed governing equations of motion are presented. The analytical solution for the linear part of these perturbed equations for ideal and for non-ideal cases are obtained. This solution is necessary for the investigation of the complete weak nonlinear problem where all nonlinearities are small perturbations around a linear known solution. This investigation shall help the analyst in the modelling of dynamical systems with structure-actuator interactions.

PL

Układem dynamicznym badanym w pracy jest podzespół zawierający podatną belkę poruszającą się ruchem obrotowym w płaszczyźnie poziomej. Zaprezentowano bezwymiarowe i perturbowane równania ruchu. Rozwiązania analityczne części zlinearyzowanej tych równań uzyskano dla przypadku idealnego i nieidealnego. Taka postać rozwiązania jest niezbędna do analizy zupełnego i słabo nieliniowego problemu, w którym nieliniowości stanowią niewielkie perturbacje wokół rozwiązania liniowego. Prezentowane wyniki badań mogą okazać się pomocą dla analityków zajmujących się modelowaniem układów dynamicznych uwzględniających interakcje zachodzące pomiędzy daną konstrukcją bazową, a zamocowanymi na niej aktywnymi elementami wykonawczymi (aktuatorami).

Słowa kluczowe

EN

non-ideal system; flexible structure; perturbed equations

PL

nieidealne systemy; struktury elastyczne

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2008
• Tom: Vol. 46 nr 1
• Strony: 51--68
• Opis fizyczny: Bibliogr. 24 poz., rys.

Twórcy

autor

Fenili A.

autor

Balthazar J. M.

• National Institute for Space Research (INPE), Sao Jose dos Campos, Brazil University of Taubate, Department of Engineering Mechanics, Taubate, SP, Brazil,

Bibliografia

• 1. Balthazar J.M., Mook D.T., Brasil R.M.L.R.F., Weber H.I., Fenili A., Belato D., Felix J.L.P., 2001, Recent results on vibrating problems with limited power supply, In: Sixth Conference on Dynamical Systems Theory and Applications, Awrejcewicz J., Grabski J., Nowakowski J. (Edit.), Lodz, Poland, 27-50
• 2. Balthazar J.M., Mook D.T., Weber H.I, Brasil R.M.L.R.F., Fenili A., Belato D., Felix J.L.P., 2003, An overview on non-ideal vibrations, Meccanica, 38, 613-621
• 3. Balthazar J.M., Mook D.T., Weber H.I, Brasil R.M.L.R.F., Fenili A., Belato D., Felix J.L.P., Garzeri F., 2004, A review on new vibration issues due to non-ideal energy sources, In: Dynamics Systems and Control, Udwadia F.E., Weber H.I., Leitman G. (Edit.), Stability and Control: Theory, Method and Applicatuions, 22, Chapman & Hallick, 237-258
• 4. Balthazar J.M., Mook D.T., Weber H.I., Fenili A., Belato D., de Mattos M.C., Wieczorek S., 1999, On vibrating systems with a limited power supply and their applications to Engineering sciences, Short Course pre- sented in Semin´ario Brasileiro de An´alise, UNICAMP, Campinas, S˜ao Paulo, Brasil, May, 137-227
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