A nonlinear electromechanical pendulum arm with a nonlinear energy sink control (NES) approach

• Autorzy: Alişverişçi G. F. , Bayıroluǧlu H. , Felix J. L. P. , Balthazar J. M. , Brasil R. M. L. R. F.

Identyfikatory

DOI

10.15632/jtam-pl.54.3.975

• Języki publikacji: EN

Abstrakty

EN

This paper considers the nonlinear dynamics of an electromechanical device with a pendulum arm and a Nonlinear Energy Sink (NES) put on the point of the pendulum suspension. It is shown that the (NES) is capable of absorbing energy from the system. The numerical results are shown in a bifurcation diagram, phase plane, Poincar´e map and Lyapunov exponents.

Słowa kluczowe

EN

nonlinear electromechanical system; bifurcations; nonlinear energy sink

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 3
• Strony: 975--986
• Opis fizyczny: Bibliogr. 12 poz., rys., tab.

Twórcy

autor

Alişverişçi G. F.

• Yıldız Technical University, Istanbul, Turkey

autor

Bayıroluǧlu H.

• Yıldız Technical University, Istanbul, Turkey

autor

Felix J. L. P.

• UFFS – Federal University of Fronteira Sul, Cerro Largo, RS, Brazil

autor

Balthazar J. M.

• ITA – Aeronautics Technological Institute, S˜ao Jos´e dos Campos, SP, Brazil and UNESP-Bauru, SP, Brazil

autor

Brasil R. M. L. R. F.

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

Bibliografia

• 1. Dantas M.J.H., Balthazar J.M., 2008, On energy transfer between linear and non-linear oscillator, Journal of Sound and Vibration, 315, 4/5, 1047-1070
• 2. Felix J.L.P., Balthazar J.M., 2009, Comments on a nonlinear and a non-ideal electromechanical damping vibration absorber, sommerfeld effect and energy transfer, Nonlinear Dynamics, 55, 1, 1-11
• 3. Felix J.L.P., Balthazar J.M., Dantas M.J.H., 2009, On energy pumping, synchronization and beat phenomenon in a non-ideal structure coupled to an essentially nonlinear oscillator, Nonlinear Dynamics, 56, 1, 1-11
• 4. Jiang X., McFarland D.M., Bergman L.A., Vakakis A.F., 2003, Steady state passive nonlinear energy pumping in coupled oscillators: theoretical and experimental results, Nonlinear Dynamics, 33, 87-102
• 5. Malatkar P., Nayfeh A.H., 2007, Steady-state dynamics of a linear structure weakly coupled to an essentially nonlinear oscillator, Nonlinear Dynamics, 47, 167-179
• 6. Mogo J.B., Woafo P., 2007, Dynamics of a nonlinear electromechanical device with a pendulum arm, Journal of Computational and Nonlinear Dynamics, 2, 4, 374-378, DOI: 10.1115/1.2756080
• 7. Tusset A.M., Balthazar J.M., Felix J.L.P., 2013, On elimination of chaotic behavior in a non-ideal portal frame structural system, using both passive and active controls, Journal of Vibration and Control, 19, 6, 803-813
• 8. Tusset A.M., Bueno A.M., Sado D., Balthazar J.M., Colón D., 2014, SDRE control and sensibility analysis of a chaotic double pendulum arm excited by a RLC circuit based nonlinear shaker, Conference on Dynamical Systems Theory and Applications, Łódź, Poland, 195-204
• 9. Tusset A.M., Picirillo V., Bueno A.M., Sado D., Balthazar J.M., Felix J.L.P., 2015, Chaos control and sensitivity analysis of a double pendulum arm excited by an RLC circuit based nonlinear shaker, Journal of Vibration and Control, 1077546314564782
• 10. Vakakis A.F., 2001, Inducing passive nonlinear energy sinks in linear vibrating systems, Journal of Vibration and Acoustics, 123, 3, 324-332
• 11. Vakakis F., Gendelman O., 2001, Energy pumping in nonlinear mechanical oscillators. II: Resonance capture, Journal of Applied Mechanics, 68, 1, 42-48
• 12. Vakakis A.F., Gendelman O.V., Bergman L.A., McFarland D.M., Kerschen G., Lee Y.S., 2008, Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems (Solid Mechanics and Its Applications), Springer

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.