Nonlinear system identification of vibro-impact nonsmooth dynamical systems

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn , Issue , 2011, Pages

  Lee, Young S ^a   Chen, Heng ^a   Vakakis, Alexander F ^b,c   McFarland, D Michael ^c   Bergman, Lawrence A ^c  

^a Horeshoe Cir Jett Hall   (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^c University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84872477075     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2011-2067     Document Type: Conference Paper

References (8)

1. Lee, Y.S., Tsakirtzis, S., Vakakis, A.F., McFarland, D.M., Bergman, L.A., "A time-domain nonlinear system identification method based on multiscale dynamic partitions," Meccanica, accepted for publication.
2. Lee, Y.S., Tsakirtzis, S., Vakakis, A.F., Bergman, L.A., McFarland, D.M., "Physics-based foundation for empirical mode decomposition," AIAA Journal, Vol. 47, No. 12, 2009, pp. 2938-2963.
3. Babitsky, V.I., Krupenin, V.L., Vibration of Strongly Nonlinear Discontinuous Systems, Springer-Verlag Berlin, 2001.
4. Manevitch, L.I., Musienko, A.I., "Limiting phase trajectories and energy exchange between anharmonic oscillator and external force," Nonlinear Dynamics, Vol. 58, 2009, pp. 633-642.
5. Nucera, F., Vakakis, A.F., McFarland, D.M., Bergman, L.A., Kerschen, G., "Targeted energy transfers in vibro-impact oscillators for seismic mitigation," Nonlinear Dynamics, Vol. 50, 2007, pp. 651-677.
6. Lee Y.S., Nucera F., Vakakis A.F., McFarland D.M., Bergman L.A., "Periodic Orbits, Damped Transitions and Targeted Energy Transfers in Oscillators with Vibro-Impact Attachments," Physica D, Vol. 238, No. 18, 2009, pp. 1868-1896.
7. Huang N., Shen Z., Long S., Wu M., Shih H., Zheng Q., Yen N.-C., Tung C., Liu, H., "The empirical mode decomposition and the Hilbert spectrum for nonlinear and nonstationary time series analysis," Philosophical Transactions of The Royal Society A. Mathematical, Physical and Engineering Sciences, Vol. 454, 1998, pp. 903-995.
8. Lee, Y.S., Vakakis, A.F., McFarland, D.M., Bergman, L.A., "A global-local approach to system identification: A review," Structural Control and Health Monitoring, Special Issue dedicated to Professor G.W. Housner, Vol. 17 (7), 2010, pp. 742-760.