Chaotic vibrations of nonlinearly supported tubes in crossflow

Technical Report · Fri Jan 31 23:00:00 EST 1992

DOI:https://doi.org/10.2172/5262551· OSTI ID:5262551

Cai, Y; Chen, S S

By means of the unsteady-flow theory and a bilinear mathematical model, a theoretical study is presented for chaotic vibrations associated with the fluidelastic 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, quasiperiodic, and chaotic motions of a tube exposed to various flow velocities in the instability region of the tube-support-plate-inactive mode.

• Research Organization: Argonne National Lab., IL (United States)
• Sponsoring Organization: DOE; USDOE, Washington, DC (United States)
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 5262551
• Report Number(s): ANL-92/18; ON: DE92014074
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
DIFFERENTIAL EQUATIONS
DYNAMICS
EQUATIONS
EQUATIONS OF MOTION
FLUID FLOW
FUNCTIONS
MATHEMATICAL MODELS
MECHANICAL VIBRATIONS
MECHANICS
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
SPECTRAL DENSITY
SPECTRAL FUNCTIONS
TUBES