Non-periodic motions and fractals of a circular arch under follower forces with small disturbances

Steel and Composite Structures

Volumn 6, Issue 2, 2006, Pages 87-101

  Fukuchi, Nobuyoshi ^a   Tanaka, Takashi ^b  

^a KYUSHU UNIVERSITY   (Japan)

^b Japan Marine Science Inc   (Japan)

Author keywords

Chaotic behaviors; Circular arch; Correlation dimension; Dynamic stability; Follower force; Instability region; Non conservative nature

Indexed keywords

DEFORMATION; FRACTALS; HYDROSTATIC PRESSURE; NUMERICAL ANALYSIS; PHASE SHIFT; STABILITY;

CHAOTIC BEHAVIORS; CIRCULAR ARCH; DYNAMIC STABILITY; FOLLOWER FORCE; NON-CONSERVATIVE NATURE;

LATTICE CONSTANTS;

EID: 33645302352     PISSN: 12299367     EISSN: None     Source Type: Journal    
DOI: 10.12989/scs.2006.6.2.087     Document Type: Article

References (11)

1. Buskirk, R. V. and Jeffries, C. (1985), "Observation of chaotic dynamics of coupled nonlinear oscillations", Physics Review; A31, 3332-3357.
2. Fukuchi, N., Tanaka, T. and Okada, K. (2000), "A characteristic analysis on dynamic stability of shell-like lattice structures subjected to follower forces", Advances in Computational Engineering and Sciences; 2, 1816-1821.
3. George, T. and Fukuchi, N. (1993), "Dynamic instability analysis of thin shell structures subjected to follower forces, (4th Report) quantitative stability of disturbed", J. of the Society of Naval Architects of Japan; 174, 787-796.
4. George, T. and Fukuchi, N. (1994), "Dynamic instability analysis of thin shell structures subjected to follower forces, (5th Report) disturbance threshold curves of dynamic stability", J. of the Society of Naval Architects of Japan; 175, 337-348.
5. Jackson, E. A. (1991), Perspectives of Nonlinear Dynamics 1, Cambridge University Press.
6. Judd, K. (1992), "An improved estimator of dimension and some comments on providing confidence intervals", Physica; D56, 216-228.
7. Libchaber, A. and Maurer, J. (1982), "A Rayleigh benard experiment: Helium in a small box", Nonlinear Phenomena at Phase Transitions and Instabilities; 259-286.
8. Martin, S., Leber, H. and Martinsen, W. (1984), "Oscillatory and chaotic states of the electrical conduction in barium sodium niobate crystals", Physics Review; Lett. 53, 303-306.
9. Moon, F. C. (1987), Chaotic Vibrations, John Wiley and Sons.
10. Moon, F. C. (1992), Chaotic and Fractal Dynamics, John Wiley and Son.
11. Thompson, J. M. T. and Stewart, H. B. (1986), Nonlinear Dynamics and Chaos, John Wiley and Sons.