Chaotic vibrations of nonlinearly supported tubes in crossflow

Journal Article · Sat May 01 00:00:00 EDT 1993 · Journal of Pressure Vessel Technology; (United States)

DOI:https://doi.org/10.1115/1.2929506· OSTI ID:6484235

Cai, Y; Chen, S S ^[1]

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1. Argonne National Lab., IL (United States)

Chaotic vibrations associated with the fluid elastic instability of nonlinearly supported tubes in a crossflow is studied theoretically on the basis of the unsteady-flow theory and a bilinear mathematical model. 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.

• OSTI ID: 6484235
• Journal Information: Journal of Pressure Vessel Technology; (United States), Journal Name: Journal of Pressure Vessel Technology; (United States) Vol. 115:2; ISSN JPVTAS; ISSN 0094-9930
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
ANL
CROSSFLOW SYSTEMS
FLUID FLOW
MATHEMATICAL MODELS
MECHANICAL VIBRATIONS
NATIONAL ORGANIZATIONS
TUBES
UNSTEADY FLOW
US AEC
US DOE
US ERDA
US ORGANIZATIONS