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

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