Analysis and optimization of a nonlinear, continuous, autoparametric system

• Autorzy: Foryś A. , Foryś A. S.
• Języki publikacji: EN

Abstrakty

EN

In the present paper a transversely vibrating autoparametric system consisting of three non-prismatic rods is presented. The considerations refer especially to stability of the semi-trivial solution. Proper selection of the values of parameters may lead to considerable reduction of the autoparametric resonance effects or may shift the autoparametric resonance to another frequency region.

Słowa kluczowe

EN

optimization; analysis; autoparametric system

PL

optymalizacja; analiza

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2002
• Tom: Vol.50, iss.4
• Strony: 233--249
• Opis fizyczny: Bibliogr. 12 poz., rys., wykr.

Twórcy

autor

Foryś A.

• Institute of Physics, Cracow University of Technology, l Podchorążych Str., 30-084, Kraków, Poland,

autor

Foryś A. S.

• Institute of Physics, Cracow University of Technology, l Podchorążych Str., 30-084, Kraków, Poland,

Bibliografia

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• 2. A. TONDL, To the analysis of autoparametric systems, Z. Angew. Math. Mech. 77, 6, 407–418, 1997.
• 3. F. VERHULST, Autoparametric resonance, survey and new results, 2nd European Nonlinear Oscillation Conference, Prague 1996.
• 4. M. CARTMELL, Introduction to linear, parametric and nonlinear vibrations, Chapman and Hall, London 1990.
• 5. A. FORYŚ, J. NIZIOŁ, Internal resonance in a plane system of rods, J. Sound Vibr., 95, 3, 361–374, 1984.
• 6. A. FORYŚ, A. GAJEWSKI, Analysis and optimization of a system of rods of variable cross–section under conditions of internal resonance [in Polish], Engineering Transactions, 32, 4, 575–598, 1984.
• 7. A. FORYŚ, A.S. FORYŚ, Parametric optimization of a system of rods considering nonlinearities [in Polish], Engineering Transactions, 34, 4, 399–418, 1986.
• 8. A. FORYŚ, Parametric optimization of a system of rods in view of dynamic stability, J. Sound Vibr., 176, 3, 341–350, 1994.
• 9. A. FORYŚ, Periodic combination resonance in nonlinear system of non–prismatic rods, J. Sound Vibr., 181, 2, 355–368, 1995.
• 10. A. FORYŚ, A.S. FORYŚ, Internal and combination resonances in a kinematically excited system of non–prismatic rods, Engineering Transactions, 43, 1–2, 113–136, 1995.
• 11. A. FORYŚ, Vibrations and dynamical stability of selected systems of rods [in Polish], Ph.D. Thesis, Cracow University of Technology, 1981.
• 12. A. TONDL, Some problems of rotor dynamics, Publishing House of the Czechoslovak Academy of Sciences, Prague 1965.