Dynamic Stability of Tube Conveying Fluid

by Shoei-Sheng Chen, Asst. Mech. Engr.; Theoretical and Appl. Mech. Section, Engrg. and Tech. Div., Argonne Natl. Lab., Argonne, IL,

Serial Information: Journal of the Engineering Mechanics Division, 1971, Vol. 97, Issue 5, Pg. 1469-1485

Document Type: Journal Paper


The parametric resonance of a simply supported tube is studied analytically. By employing Galerkin's method, the equation of motion is reduced to a system of coupled Mathieu-Hill-type equations with multiharmonic coefficients. The stability-instability region boundaries are constructed by the methods of Hsu and Bolotin. The results obtained by Hsu's first approximation show that combination resonance is possible and that the coupling terms do not influence the principal and second instability regions. The higher order approximation is obtained by Bolotin's method which shows that the effect of the coupling terms is to lower, in frequency, the instability regions; they have no effect on the size of the instability regions.

Subject Headings: Coupling | Approximation methods | Fluid dynamics | Resonance | Equations of motion | Parameters (statistics) | Domain boundary

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