Chaotic vibrations of tubes with nonlinear supports in crossflow

Conference · Tue Dec 01 04:00:00 EST 1992

DOI:https://doi.org/10.2172/10144399· OSTI ID:10114791

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. A series of effective tools, including phase portraits, power spectral density, Poincar`e maps, Lyapunov exponent, fractal dimension, and bifurcation diagrams, are utilized to distinguish periodic and chaotic motions when the tubes vibrate in the instability region. Results show periodic and chaotic motions in the region corresponding to the fluid damping controlled instability. Nonlinear supports, with symmetric or asymmetric gaps, significantly affect the distributions of periodic, quasiperiodic and chaotic motions of the tube with various flow velocity in the instability region of the TSP(tube-support-plate)-inactive mode.

• Research Organization: Argonne National Lab., IL (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 10114791
• Report Number(s): ANL/CP--75489; CONF-921110--43; ON: DE93004247
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400
HEAT TRANSFER AND FLUID FLOW
INSTABILITY
MATHEMATICAL MODELS
MECHANICAL VIBRATIONS
TUBES
UNSTEADY FLOW