Pseudo force-state mapping method: Incorporation of the embedding and force-state mapping methods

Journal of Sound and Vibration

Volumn 211, Issue 5, 1998, Pages 918-922

  Shin, K ^a   Hammond, J K ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040118749     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1450     Document Type: Article

References (13)

1. S. F. MARSI and T. K. CAUGHEY, 1979 Transactions of the American Society of Mechanical Engineers: Journal of Applied Mechanics 46, 433-447. A nonparametric identification technique for nonlinear dynamic problems.
2. E. F. CRAWLEY and A. C. AUBERT, 1986 American Institute of Aeronautics and Astronautics Journal 24(1), 155-162. Identification of nonlinear structural elements by force-state mapping.
3. F. TAKENS, 1980 Lecture Notes in Mathematics 898, 365-381. Detecting strange attractors in turbulence.
4. W. LIEBERT, K. PAWELZIK and H. G. SCHUSTER, 1991 Europhysics Letters 14(6), 521-526. Optimal embeddings of chaotic attractors from topological considerations.
5. M. B. KENNEL, R. BROWN and H. D. I. ABARBANEL, 1992 Physical Review A 45(6), 3403-3411. Determining embedding dimension for phase-space reconstruction using a geometrical construction.
6. TH. BUZUG and G. PFISTER, 1992 Physical Review A 45(10), 7073-7084. Optimal delay time and embedding dimension for delay-time coordinates by analysis of the global static and local dynamical behavior of strange attractors.
7. D. S. BROOMHEAD and G. P. KING, 1986 Physica D 20, 217-236. Extracting qualitative dynamics from experimental data.
8. K. SHIN, 1996 Ph.D. Thesis, University of Southampton. Characterisation and identification of chaotic dynamical systems.
9. A. M. FRASER and H. L. SWINNEY, 1986 Physical Review A 33(2), 1134-1140. Independent coordinates for strange attractors from mutual information.
10. W. LIEBERT and H. G. SCHUSTER, 1989 Physics Letters A 142, 107-111. Proper choice of the time delay for the analysis of chaotic time series.
11. TH. BUZUG and G. PFISTER, 1992 Physica D 58, 127-137. Comparison of algorithms calculating optimal embedding parameters for delay time coordinates.
12. K. WORDEN and G. R. TOMLINSON, 1988 Proceedings of the 6th International Modal Analysis Conference 2, 1471-1479. Developments in force state mapping for nonlinear systems.
13. J. R. WRIGHT and M. A. AL-HADID, 1991 The International Journal of Analytical and Experimental Modal Analysis 6(2), 89-103. Sensitivity of the force-state mapping approach to measurement errors.