Damped forced vibrations of an elastically connected double-membrane system

• Autorzy: Oniszczuk Z.
• Konferencja: Symposium Vibrations In Physical Systems (23 ; 28-31.05.2008 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

The purpose of the present paper is to consider theoretically damped forced transverse vibrations of an elastically connected rectangular double-membrane system. The system is treated as two viscoelastic membranes joined by a Kelvin-Voigt viscoelastic layer. Applying the modal expansion method, exact analytical solutions of damped forced responses for a simplified model of this system subjected to arbitrarily distributed transverse continuous loads are determined in the case of arbitrary magnitude of linear viscous damping. Nine possible different solutions obtained are described by the combinations of time functions expressing the damped motions for undercritical, critical and overcritical damping cases, according to the mutual relations between physical parameters of the system.

Słowa kluczowe

EN

double-membrane system; damped vibrations; modal expansion method

PL

układ dwóch membran; drgania tłumione; modalna metoda ekspansji

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2008
• Tom: Vol. 23
• Strony: 295--302
• Opis fizyczny: Bibliogr. 20 poz., 1 rys.

Twórcy

autor

Oniszczuk Z.

• Rzeszów University of Technology, ul. W. Pola 2, 35-959 Rzeszów

Bibliografia

• 1. Z. Oniszczuk, Damped free vibrations of an elastically connected double-membrane system, Cracow University of Technology Publishers, Technical Journal, Mechanics 5-M (2004) 265-275.
• 2. Z. Oniszczuk, Damped forced transverse vibrations of an elastically connected double-membrane system, Transactions of the 12th Polish-Ukrainian Seminar „Theoretical Foundations of Civil Engineering”, Warsaw-Dnepropetrovsk, I, 2004, pp. 319-326.
• 3. Z. Oniszczuk, Vibration Analysis of Compound Continuous Systems with Elastic Constraints, Publishing House of Rzeszów University of Technology, Rzeszów, 1997.
• 4. Z. Oniszczuk, Transverse vibrations of elastically connected rectangular doublemembrane compound system, Journal of Sound and Vibration, 221 (1999) 235-250.
• 5. Z. Oniszczuk, Forced vibration analysis of an elastically connected rectangular double-membrane complex system, Proceedings of the 4th International Scientific Colloquium CAx Techniques’99, Bielefeld, 1999, pp. 393-400.
• 6. Z. Oniszczuk, Dynamic vibration absorption in complex continuous systems, Machine Dynamics Problems, 24 (2) (2000) 81-94.
• 7. Z. Oniszczuk, Free transverse vibrations of an elastically connected rectangular plate-membrane complex system, Journal of Sound and Vibration, 264 (2003) 37-47.
• 8. J. Nizioł, Damping of vibrations of continuous systems in probabilistic formulation, Scientific Works of Cracow University of Technology, Mechanics,83 (2001) 213-220.
• 9. J. Nizioł, Damping of vibrations of plates and membranes in probabilistic formulation, Cracow University of Technology Publishers, Technical Journal, Mechanics, 5-M (2004) 233-242.
• 10. I. Kucuk, Necessary conditions for the optimal control of the double-membrane system, WSEAS Transactions on Mathematics, 5 (5) (2006) 589-594.
• 11. I. Kucuk, Optimality conditions for the control of a double-membrane complex system by a modal decomposition technique, Applied Mathematical Modelling, 32 (4) (2008) 562-574.
• 12. Y. Liu, D. Yu, H. Zhao, X. Wen, Review of passive dynamic vibration absorbers, Chinese Journal of Mechanical Engineering, 43 (3) (2007) 14-21.
• 13. Z. Oniszczuk, Damped transverse vibrations of an elastically connected double-plate system. Part I: free vibrations, Proceedings of the XXth Symposium „Vibrations in Physical Systems”, Poznań-Błażejewko, 2002, 240-241.
• 14. Z. Oniszczuk, Damped transverse vibrations of an elastically connected double-plate system. Part II: forced vibrations, Proceedings of the XXth Symposium „Vibrations in Physical Systems”, Poznań-Błażejewko, 2002, pp. 242-243.
• 15. Z. Oniszczuk, Damped free transverse vibrations of an elastically connected doublestring system, Proceedings of the Conference „Polish Mechanics at the Beginning of Twenty First Century”, Kazimierz Dolny-Warsaw, 2001, pp. 339-346.
• 16. Z. Oniszczuk, Damped vibration analysis of an elastically connected complex double-string system, Journal of Sound and Vibration, 264 (2003) 253-271.
• 17. Z. Oniszczuk, Damped forced transverse vibrations of an elastically connected double-beam system, Transactions of the 10th Polish-Ukrainian Seminar „Theoretical Foundations of Civil Engineering”, Warsaw, Vol. I, 2002, pp. 331-340.
• 18. Z. Oniszczuk, Damped forced transverse vibrations of an elastically connected double-beam system, Proceedings of the XXIth Symposium „Vibrations in Physical Systems”, Poznań-Kiekrz, 2004, pp. 283-286.
• 19. Z. Oniszczuk, Damped vibrations of a two-degree-of-freedom discrete system, Scientific Works of Cracow University of Technology, Mechanics, 83 (2001) 325-332.
• 20. Z. Oniszczuk, Damped vibration analysis of a two-degree-of-freedom discrete system, Journal of Sound and Vibration, 257 (2002) 391-403.