Experiments on chaotic vibrations of a post-buckled beam with an axial elastic constraint

Journal of Sound and Vibration

Volumn 304, Issue 3-5, 2007, Pages 541-555

  Nagai, K ^a   Maruyama, S ^a   Sakaimoto, K ^b   Yamaguchi, T ^a  

^a GUNMA UNIVERSITY   (Japan)

^b FUJI HEAVY INDUSTRIES LTD   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BUCKLING; LYAPUNOV FUNCTIONS; PRINCIPAL COMPONENT ANALYSIS; RESONANCE; SPRINGS (COMPONENTS); VIBRATION ANALYSIS;

CHAOTIC VIBRATION; LYAPUNOV EXPONENT; STEEL BEAMS; THIN WALLED BEAMS;

STEEL BEAMS AND GIRDERS;

EID: 34248596677     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.03.034     Document Type: Article

References (21)

1. Tseng W.Y., and Dugundji J. Nonlinear vibrations of a buckled beam under harmonic excitation. ASME Journal of Applied Mechanics 38 (1971) 467-476
2. Yamaki N., and Mori A. Non-linear vibrations of a clamped beam with initial deflection and initial axial displacement, part I: theory. Journal of Sound and Vibration 71 3 (1980) 333-346
3. Yamaki N., Otomo K., and Mori A. Non-linear vibrations of a clamped beam with initial deflection and initial axial displacement, part II: experiment. Journal of Sound and Vibration 71 3 (1980) 347-360
4. Holmes P.J. A nonlinear oscillator with a strange attractor. Philosophical Transactions of the Royal Society of London A 292 (1979) 419-448
5. Moon F.C., and Holmes P.J. The magnetoelastic strange attractor. Journal of Sound and Vibration 65 2 (1979) 276-296
6. Pezeshki C., and Dowell E.H. Generation and analysis of Lyapunov exponents for the buckled beam. International Journal of Non-Linear Mechanics 24 2 (1989) 79-97
7. Azeez M.F.A., and Vakakis A.F. Proper orthogonal decomposition (POD) of a class of vibroimpact oscillation. Journal of Sound and Vibration 240 5 (2001) 859-889
8. Nagai K. Nonlinear vibrations of a shallow arch under periodic lateral force (Theory). Transaction of the JSME, Series C 51 471 (1985) 2820-2827 (in Japanese)
9. Nagai K. Nonlinear vibrations of a shallow arch under periodic lateral force (2nd Report, Experiment). Transaction of the JSME, Series C 52 484 (1986) 3047-3054 (in Japanese)
10. Nagai K. Experimental study of chaotic vibration of a clamped beam subjected to periodic lateral forces. Transaction of the JSME, Series C 56 525 (1990) 1171-1177 (in Japanese)
11. Nagai K., and Yamaguchi T. Chaotic vibrations of a post-buckled beam carrying a concentrated mass (1st Report, Experiment). Transaction of the JSME, Series C 60 579 (1994) 3733-3740 (in Japanese)
12. Yamaguchi T., and Nagai K. Chaotic vibrations of a post-buckled beam carrying a concentrated mass (2nd Report, Theoretical analysis). Transaction of the JSME, Series C 60 579 (1994) 3741-3748 (in Japanese)
13. Yamaguchi T., and Nagai K. Chaotic oscillations of a shallow arch with variable cross section subjected to periodic excitation. Transaction of the JSME, Series C 61 583 (1995) 799-807 (in Japanese)
14. Nagai K., and Yamaguchi T. Chaotic vibrations of a post-buckled beam with variable cross section under periodic excitation. Transaction of the JSME, Series C 61 586 (1995) 2202-2209 (in Japanese)
15. Yamaguchi T., Nagai K., and Suzuki H. Interaction between internal resonance and dynamic snap-through in chaotic vibrations of a post-buckled beam with variable-cross-section. Transaction of the JSME, Series C 66 652 (2000) 3820-3827 (in Japanese)
16. Nagai K., Ohyama S., and Yamaguchi T. Chaotic vibrations of shallow arches with variable-cross-section constrained by an axial elastic support. Transaction of the JSME, Series C 64 624 (1998) 2816-2823 (in Japanese)
17. Nagai K., Kasuga K., Kamada M., Yamaguchi T., and Tanifuji K. Experiment on chaotic oscillations of a post-buckled reinforced beam constrained by an axial spring. JSME International Journal, Series C 41 3 (1998) 563-569
18. Loève M.M. Probability Theory (1955), Von Nostrand, Princeton, NJ
19. Wolf A., Swift J.B., Swinney H.L., and Vastano J.A. Determining Lyapunov exponents from a time series. Physica 16D (1985) 285-317
20. Takens F. Detecting strange attractors in turbulence. In: Rand D., and Young L. (Eds). Lecture Notes in Mathematics Vol. 898 (1981), Springer, New York 366-381
21. Feeny B.F., and Kappagantu R. On the physical interpretation of proper orthogonal modes in vibrations. Journal of Sound and Vibration 211 4 (1998) 607-616