Influence of ideal and non-ideal excitation sources on the dynamics of a nonlinear vibro-impact system

• Autorzy: Moraes F. H. , Pontes B. R. (jr) , Silveira M. , Balthazar J. M. , Brasil R. M. L. R. F.
• Języki publikacji: EN

Abstrakty

EN

The objective of the present work is to analyze the dynamics of a vibro-impact system consisting of two blocks of different mass coupled by a spring with two stages. Two different types of excitation sources for the system are used in the analysis: the first is an ideal excitation in form of a harmonic force, and the second is a non-ideal excitation in form of a DC electric motor with limited power supply which has an unbalanced rotor. The control parameter for both situations is the excitation frequency of the system. The analysis includes time histories of displacements and velocities, phase portraits and diagrams of the displacement and frequency, used to show the Sommerfeld effect. For certain values of the parameters of the system, the motion is chaotic. The mathematical model of the system is used to obtain an insight to the global dynamics of the vibro-impact system. The model with a non-ideal excitation is more realistic, complete and complex than the model with the ideal excitation.

Słowa kluczowe

EN

vibro-impact system; limited power supply; non-ideal excitation; Sommerfeld effect

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2013
• Tom: Vol. 51 nr 3
• Strony: 763--774
• Opis fizyczny: Bibliogr. 21 poz., rys., tab.

Twórcy

autor

Moraes F. H.

• UNESP – São Paulo State University, Department of Mechanical Engineering, Bauru, SP, Brazil

autor

Pontes B. R. (jr)

• UNESP – São Paulo State University, Department of Mechanical Engineering, Bauru, SP, Brazil

autor

Silveira M.

• UNESP – São Paulo State University, Department of Mechanical Engineering, Bauru, SP, Brazil

autor

Balthazar J. M.

• UNESP – São Paulo State University, Department of Mechanical Engineering, Bauru, SP, Brazil and UNESP – São Paulo State University, IGCE, Department of Applied Mathematics and Computation, Rio Claro, SP, Brazil

autor

Brasil R. M. L. R. F.

• Federal University of ABC, Santo André, SP, Brazil

Bibliografia

• 1. Aguiar R.R., 2010, Experimental Investigation and Numerical Analysis of the Vibro-Impact Phenomenon, PhD Thesis, PUC-Rio, Rio de Janeiro, Brazil
• 2. Balthazar J.M., Brasil R.M.L.R.F., 2004, On saturation control of a non-ideal vibrating portal frame founded type shear-building, Journal of Vibration and Control, 10, 1739-1748
• 3. Balthazar J.M., Felix J.L.P., Brasil R.M.L.R.F., 2005, Some comments on the numerical simulation of self-synchronization of four non-ideal exciters, Applied Mathematics and Computatuion, 164, 615-625
• 4. Balthazar J.M., Mook D.T., Weber H.I., Brasil R.M.L.R.F., Fenili A., Beltano D., Felix J.L.P., 2003, An overview on non-ideal vibrations, Meccanica, 38, 613-621
• 5. Cvetićanin L., 2010, Dynamics of the non-ideal mechanical systems: A review, Journal of the Serbian Society for Computational Mechanics, 4, 75-86
• 6. Dimentberg M.F., McGovern L., Norton R.L., Chapdelaine J., Harrison R., 1997, Dynamics of an unbalanced shaft interacting with a limited power supply, Nonlinear Dynamics, 13, 171-187
• 7. Ho J.H., Nguyen V.D., Woo K.C., 2010, Nonlinear dynamics of a new electro-vibro-impact system, Nonlinear Dynamics, 63, 35-49, DOI: 10.1007/s11071-010-9783-6
• 8. Ing J., Pavlovskaia E., Wiercigroch M., Banerjee S., 2010, Bifurcation analysis of an impact oscillator with a one-sided elastic constraint near grazing, Physica D, 239, 312-321, DOI: 10.1016/j.physd.2009.11.009
• 9. Kononenko V.O., 1969, Vibrating Systems with a Limited Power Supply, Iliffe Books Ltd, London
• 10. Lin R.M., Ewins D.J., 1993, Chaotic vibration of mechanical systems with backlash, Mechanical Systems and Signal Processing, 7, 257-272
• 11. Nayfeh A.H., Mook D.T., 1979, Nonlinear Oscillations, John Whiley & Sons, New York
• 12. Pavlovskaia E., Wiercigroch M., Grebogi C., 2001, Modelling of an impact system with a drift, Physical Review E, 64, DOI 10.1103/PhysRevE.64.056224
• 13. Pontes Jr B.R., Oliveira V.A., Balthazar J.M., 2000, On friction-driven vibrations in a mass block-belt-motor with limited power supply, Journal of Sound and Vibration, 234, 713-723
• 14. Souza S.L.T., Caldas I.L., Viana R.L.J., Balthazar J.M., 2008, Control and chaos for vibro-impact and non-ideal oscillators, Journal of Theoretical and Applied Mechanics, 46, 641-664
• 15. Souza S.L.T., Caldas I.L., Viana R.L., Balthazar J.M., Brasil R.M.L.R.F., 2005, Impact dampers for controlling chaos in systems with limited power supply, Journal of Sound and Vibration, 279, 955-965
• 16. Souza S.L.T., Caldas I.L., Viana R.L., Balthazar J.M., Brasil R.M.L.R.F., 2005, Basins of attraction changes by amplitude constraining of oscillators with limited power supply, Chaos, Solitons and Fractals, 26, 1211-1220
• 17. Tsuchida M., Guilherme K.L., Balthazar J.M., 2005, On chaotic vibrations of a non-ideal system with two degree of freedom: 1:2 resonance and Sommerfeld effect, Journal of Sound and Vibration, 282, 1201-1207
• 18. Warminski J., Balthazar J.M., Brasil R.M.L.R.F., 2001, Vibrations of a non-ideal parametrically and self-excited model, Journal of Sound and Vibration, 245, 363-374
• 19. Wiercigroch M., Wojewoda J., Kivtsov A.M., 2005, Dynamics of ultrasonic percussive drilling of hard rocks Journal of Sound and Vibration, 280, 736-757
• 20. Zukovic M., Cvetićanin L., 2007, Chaotic responses in a stable Duffing system of non-ideal type, Journal of Vibration and Control, 13, 751-767
• 21. Zukovic M., Cvetićanin L., 2009, Chaos in non-ideal mechanical system with clearance, Journal of Vibration and Control, 15, 1229-1246