Dynamical behaviors of a fluid-conveying curved pipe subjected to motion constraints and harmonic excitation

• Published in: Journal of sound and vibration Vol. 306; no. 3; pp. 955 - 967
• Main Authors: Lin, Wang, Qiao, Ni, Yuying, Huang
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 09.10.2007; Elsevier
• Subjects: Exact sciences and technology; Flows in ducts, channels, nozzles, and conduits; Fluid dynamics; Fundamental areas of phenomenology (including applications); General theory; Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Chaos; Poincaré mapping; Phase diagrams; Fourier transformation; Fluid dynamics; Pipe flow; Power spectra; Forced vibration; Phase plane method; Curved pipe; Modelling; Periodic motion; Non linear effect; Sinusoidal excitation
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2007.06.046

This paper investigates the nonlinear dynamics of a fluid-conveying curved pipe subjected to motion constraints and harmonic excitation. At first, the background theory for curved pipes conveying fluid with motion constraints is presented. Then, emphasis is placed on the possible nonlinear dynamic behaviors of a constrained curved pipe subject to a harmonic excitation. For such a forced dynamical system, calculations of bifurcation diagrams, phase-plane portraits, time responses, power spectrum diagrams and Poincare maps of the oscillations clearly establish the existence of the chaotic motions and quasi-periodic motions. Moreover, it is found that the route to chaos is through a sequence of period-doubling bifurcations. Finally, the difference in the nonlinear dynamics between the self-vibration system and forced system is further discussed.