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Saturday, August 1, 2020 | History

3 edition of Periodic and chaotic motions of a modified Stoker column found in the catalog.

Periodic and chaotic motions of a modified Stoker column

Graham R. Cook

Periodic and chaotic motions of a modified Stoker column

experimental and numerical results

by Graham R. Cook

  • 59 Want to read
  • 39 Currently reading

Published by U.S. Dept. of Commerce, National Institute of Standards and Technology, Order from National Technical Information Service] in Gaithersburg, MD, [Springfield, VA .
Written in English

    Subjects:
  • Columns.,
  • Structural dynamics.,
  • Structural analysis (Engineering),
  • Chaotic behavior in systems.

  • Edition Notes

    StatementGraham R. Cook, Emil Simiu.
    SeriesNIST building science series -- 168., NIST building science series -- 168.
    ContributionsSimiu, Emil., National Institute of Standards and Technology (U.S.)
    The Physical Object
    FormatMicroform
    Paginationix, 35 p.
    Number of Pages35
    ID Numbers
    Open LibraryOL14683854M

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Periodic and chaotic motions of a modified Stoker column by Graham R. Cook Download PDF EPUB FB2

Get this from a library. Periodic and chaotic motions of a modified Stoker column: experimental and numerical results. [Graham R Cook; Emil Simiu; National Institute of Standards and Technology (U.S.)]. Records are presented of typical measured motions of a modified forced Stoker column, including periodic motion around a stable fixed point of the unforced column; periodic snap‐through motion around the unstable fixed point; and chaotic motion.

Regular and chaotic motions are shown to be possible in In this paper, nonlinear plane oscillations of a pendulum, whose support is in steady, circular motion in a vertical plane, are investigated. Chaotic Motion of Pendulum with Support in Circular Orbit Periodic and Chaotic Oscillations of Modified Stoker Column.

We have obtained the chaotic attractor which has the periodic solution at t i = 2πi/ω 0 for Eq. In this numerical research, the discrete time takes from i = 1 to as finite time untilwe give the numerical condition m = 1, c =β = 1, ω 0 = 1, v 1 (0) = 0, v ̇ 1 (0) = 0 and f 0 is increasing in steps of as a parameter.

Then, the solution is obtained in Fig. by: 2. A trajectory Γ(t) of a non-damped free Duffing's oscillation has a closed the Γ 0 orbit passes near the fixed point (0,0), it traces a symmetric orbit around the u ∗ and u ̇ ∗ axes.

If there is a damping system, the traces collect around focus point A or C, and the symmetry of the traces is broken. However, we need to establish what is responsible for this attraction and Cited by: Homoclinic bifurcation and chaos attractor in elastic two-bar truss studied the periodic and chaotic snapthrough motions of the Stoker column [9].

typical measured motions. Records are presented of typical measured motions of a modified forced Stoker column, including periodic motion around a stable fixed point of the unforced column; periodic snap-through motion.

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