Accession Number : ADA132178

Title :   A Theoretical Analysis of Nonlinear Effects on the Flutter and Divergence of a Tube Conveying Fluid,

Corporate Author : PRINCETON UNIV N J DEPT OF AEROSPACE AND MECHANICAL SCIENCES

Personal Author(s) : Ch'ng,Enoch

PDF Url : ADA132178

Report Date : 02 Aug 1977

Pagination or Media Count : 129

Abstract : A theoretical model capable of describing the flutter and divergence of a tube conveying high velocity fluid is developed in this study. The nonlinear effect due to tension induced by bending is considered along with other linear forces. The partial differential equations by Galerkin's method and the time histories of the tube motion are evaluated numerically. Numerical results for the thresholds of flutter instability and the mode shapes of a cantilevered tube are in good agreement with those obtained theoretically and experimentally be other investigators. (1) A static or divergence instability occurs at a certain critical fluid velocity if the tube is simply supported at both ends. At higher fluid velocity, the tube becomes dynamically unstable. The limit cycle oscillations of the cantilever tube and the characteristics of the simply supported tube motion predicted by the present nonlinear analysis remain to be verified quantitatively be experiment.

Descriptors :   *Fluid flow, Tubes, High velocity, Propellant transfer, Liquid propellants, Bending, Mathematical models, Computerized simulation, Equations of motion, Nonlinear analysis

Subject Categories : Fluid Mechanics
      Mechanics
      Liquid Rocket Propellants

Distribution Statement : APPROVED FOR PUBLIC RELEASE