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Nonlinear dynamics of extensible viscoelastic cantilevered pipes conveying pulsatile flow with an end nozzle

Askarian, A. R ; Sharif University of Technology | 2017

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ijnonlinmec.2017.02.003
  3. Publisher: Elsevier Ltd , 2017
  4. Abstract:
  5. Nonlinear dynamics of an extensible cantilevered pipe conveying pulsating flow is considered in this paper. The fluid flow fluctuates harmonically and exhausts via a nozzle attached to the end of the pipe. Taking into account the extensibility assumption, the coupled nonlinear lateral–longitudinal equations of motion are derived using Hamilton's principle and discretized via Galerkin's method. The adaptive time step Adams algorithm is applied to extract the time response, and then the bifurcation, power spectral density and phase plane maps are plotted for some case studies. Effects of some geometrical parameters such as flow mass, pulsating flow frequency, gravity, nozzle mass and nozzle aspect ratio parameters are studied on the dynamics of such system and the validity of extensibility assumption is investigated and some conclusions are drawn. © 2017 Elsevier Ltd
  6. Keywords:
  7. Bifurcation ; Extensible pipe ; Nonlinear vibration ; Pulsating flow ; Aspect ratio ; Bifurcation (mathematics) ; Dynamics ; Equations of motion ; Galerkin methods ; Geometry ; Gravitation ; Nonlinear equations ; Nozzles ; Power spectral density ; Spectral density ; Adams algorithms ; Adaptive time step ; Case-studies ; Hamilton's principle ; Non-linear vibrations ; Phase plane ; Flow of fluids
  8. Source: International Journal of Non-Linear Mechanics ; Volume 91 , 2017 , Pages 22-35 ; 00207462 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S0020746217300860?via%3Dihub