Two Degree-of-Freedom Oscillator Coupled to a Non-ideal Source
Chapter
First Online:
Abstract
In this chapter the two degree-of-freedom structure excited with a non-ideal source is considered. The model corresponds to real energy harvester system (Felix et al. 2009), centrifugal vibration machine (Dantas and Balthazar 2006), tuned liquid column damper mounted on a structural frame (Felix et al. 2005a), portal frame (Felix et al. 2013) and portal frame foundation type shear building (Felix et al. 2005b), rotor-structure system which moves in-plane (Quinn 1997), etc.
References
- Balthazar, J. M., Chesankov, B. I., Rushev, D. T., Barbanti, L., & Weber, H. I. (2001). Remarks on the passage through resonance of a vibrating system with two degrees of freedom, excited by a non-ideal energy source. Journal of Sound and Vibration, 239(5), 1075–1085.CrossRefMATHGoogle Scholar
- Cveticanin, L., Zukovic, M., & Cveticanin, D. (2017). Two degree-of-freedom oscillator coupled to a non-ideal source. International Journal of Non-Linear Mechanics, Accessed on 6th March 2017.Google Scholar
- Dantas, M. J. H., & Balthazar, J. M. (2006). A comment on a non-ideal centrifugal vibrator machine behavior with soft and hard springs. International Journal of Bifurcation and Chaos, 16(4), 1083–1088.MathSciNetCrossRefMATHGoogle Scholar
- Felix, J. L. P., Balthazar, J. M., & Brasil, R. M. L. R. F. (2005a). On tuned liquid column dampers mounted on a structural frame under a non-ideal excitation. Journal of Sound and Vibration, 282, 1285–1292.CrossRefGoogle Scholar
- Felix, J. L. P., Balthazar, J. M., & Brasil, R. M. L. R. F. (2005b). On saturation control of a non-ideal vibrating portal frame foundation type shear-building. Journal of Vibration and Control, 11, 121–136.CrossRefMATHGoogle Scholar
- Felix, J. L. P., Balthazar, J. M., & Dantas, M. J. H. (2009). On energy pumping, synchronization and beat phenomenon in a nonideal structure coupled to an essentially nonlinear oscillator. Nonlinear Dynamics, 56, 1–11.MathSciNetCrossRefMATHGoogle Scholar
- Felix, J. L. P., Balthazar, J. M., & Brasil, R. M. L. R. F. (2013). On an energy exchange process and appearance of chaos in a non-ideal portal frame dynamical system. Difeerential Equations and Dynamical of Systems, 21(4), 373–385.MathSciNetCrossRefMATHGoogle Scholar
- Goncalves, P. J. P., Silveira, M., Petrocino, E. A., & Balthazar, J. M. (2016). Double resonance capture of a two-degree-of-freedom oscillator coupled to a non-ideal motor. Meccanica, 51(9), 2203–2214.MathSciNetCrossRefGoogle Scholar
- Quinn, D. D. (1997). Resonance capture in a three degree-of-freedom mechanical system. Nonlinear Dynamics, 14, 309–333.MathSciNetCrossRefMATHGoogle Scholar
- Tsuchida, M., Guilherme, K. L., & Balthazar, J. M. (2005). On chaotic vibrations of a non-ideal system with two-degrees of freedom: 1:2 resonance and Sommerfeld effect. Journal of Sound and Vibration, 282, 1201–1207.CrossRefGoogle Scholar
- Zniber, A., & Quinn, D. D. (2006). Resonance capture in a damped three-degree-of-freedom system: Experimental and analytical comparison. International Journal of Non-Linear Mechanics, 41, 1128–1142.CrossRefGoogle Scholar
Copyright information
© Springer International Publishing AG 2018