Chaotic Vibrations of Nonlinearly Supported Tubes in Crossflow

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Description

By means of the unsteady-flow theory and a bilinear mathematical model, a theoretical study is presented for chaotic vibrations associated with the fluid-elastic instability of nonlinearly supported tubes in a crossflow. Effective tools, including phase portraits, power spectral density, Poincare maps, Lyapunov exponent, fractal dimension, and bifurcation diagrams, are utilized to distinguish periodic and chaotic motions when the tubes vibrate in the instability region. The results show periodic and chaotic motions in the region corresponding to fluid-damping-controlled instability. Nonlinear supports, with symmetric or asymmetric gaps, significantly affect the distribution of periodic, quasi-periodic, and chaotic motions of a tube exposed to ... continued below

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vii, 35 p. : charts

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Cai, Y. & Chen, Shoei-Sheng February 1992.

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  • Main Title: Chaotic Vibrations of Nonlinearly Supported Tubes in Crossflow
  • Added Title: ANL (Series)
  • Added Title: Argonne National Laboratory Report ANL-92/18
  • Series Title: Argonne National Laboratory Reports

Description

By means of the unsteady-flow theory and a bilinear mathematical model, a theoretical study is presented for chaotic vibrations associated with the fluid-elastic instability of nonlinearly supported tubes in a crossflow. Effective tools, including phase portraits, power spectral density, Poincare maps, Lyapunov exponent, fractal dimension, and bifurcation diagrams, are utilized to distinguish periodic and chaotic motions when the tubes vibrate in the instability region. The results show periodic and chaotic motions in the region corresponding to fluid-damping-controlled instability. Nonlinear supports, with symmetric or asymmetric gaps, significantly affect the distribution of periodic, quasi-periodic, and chaotic motions of a tube exposed to various flow velocities in the instability region of the tube-support-plate-inactive mode.

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vii, 35 p. : charts

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  • February 1992

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  • Aug. 4, 2015, 8:33 a.m.

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Cai, Y. & Chen, Shoei-Sheng. Chaotic Vibrations of Nonlinearly Supported Tubes in Crossflow, report, February 1992; Argonne, Illinois. (digital.library.unt.edu/ark:/67531/metadc283117/: accessed October 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.