Research Article
Oct 1971
Dynamic Stability of Tube Conveying Fluid
Publication: Journal of the Engineering Mechanics Division
Volume 97, Issue 5
Abstract
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.
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Published In
Journal of the Engineering Mechanics Division
Volume 97 • Issue 5 • October 1971
Pages: 1469 - 1485
Copyright
© 1971 American Society of Civil Engineers.
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Published in print: Oct 1971
Published online: Feb 3, 2021
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Shoei-Sheng Chen
Asst. Mech. Engr., Theoretical and Appl. Mech. Section, Engrg. and Tech. Div., Argonne Nat. Lab., Argonne, Ill.
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