Steel and Composite Structures

  • 제6권2호
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  • Pages.87-101
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  • 2006
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
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Non-periodic motions and fractals of a circular arch under follower forces with small disturbances

  • 투고 : 2004.11.02
  • 심사 : 2005.10.17
  • 발행 : 2006.04.25
⟨ 이전 논문 다음 논문 ⟩

초록

The deformation and dynamic behavior mechanism of submerged shell-like lattice structures with membranes are in principle of a non-conservative nature as circulatory system under hydrostatic pressure and disturbance forces of various types, existing in a marine environment. This paper deals with a characteristic analysis on quasi-periodic and chaotic behavior of a circular arch under follower forces with small disturbances. The stability region chart of the disturbed equilibrium in an excitation field was calculated numerically. Then, the periodic and chaotic behaviors of a circular arch were investigated by executing the time histories of motion, power spectrum, phase plane portraits and the Poincare section. According to the results of these studies, the state of a dynamic aspect scenario of a circular arch could be shifted from one of quasi-oscillatory motion to one of chaotic motion. Moreover, the correlation dimension of fractal dynamics was calculated corresponding to stochastic behaviors of a circular arch. This research indicates the possibility of making use of the correlation dimension as a stability index.

키워드

참고문헌

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피인용 문헌

  1. Elastic flexural-torsional instability of structural arches under hydrostatic pressure vol.50, pp.2, 2008, https://doi.org/10.1016/j.ijmecsci.2007.07.016
  2. Out-of-plane dynamic stability analysis of curved beams subjected to uniformly distributed radial loading vol.46, pp.11, 2011, https://doi.org/10.1007/s10778-011-0426-5
  3. Ant colony optimization for dynamic stability of laminated composite plates vol.25, pp.1, 2006, https://doi.org/10.12989/scs.2017.25.1.105