Dynamic stability of a pipe conveying fluid with an uncertain computational model |
| |
| Institution: | 1. School of Naval Architecture and Ocean Engineering, Huazhong University of Science & Technology, Wuhan 430074, China;2. School of Engineering, University of Liverpool, The Quadrangle, Liverpool L69 3GH, UK;3. College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, China;1. College of Mechanical Engineering, Yangzhou University, Yangzhou 225127, China;2. Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Engineering, College of Mechanical Engineering and Applied Electronics, Beijing University of Technology, Beijing 100124, China;1. Department of Aerospace Engineering, Sharif University of Technology, Tehran 11365-8639, Iran;2. Department of Mechanical Engineering, Jahrom University, P.O. Box: 74135-111, Jahrom, Iran |
| |
| Abstract: | This paper deals with the problem of a pipe conveying fluid of interest in several engineering applications, such as micro-systems or drill-string dynamics. The deterministic stability analysis developed by Paidoussis and Issid (1974) is extended to the case for which there are model uncertainties induced by modeling errors in the computational model. The aim of this work is twofold: (1) to propose a probabilistic model for the fluid–structure interaction considering modeling errors and (2) to analyze the stability and reliability of the stochastic system. The Euler–Bernoulli beam model is used to model the pipe and the plug flow model is used to take into account the internal flow in the pipe. The resulting differential equation is discretized by means of the finite element method and a reduced-order model is constructed from some eigenmodes of the beam. A probabilistic approach is used to model uncertainties in the fluid–structure interaction. The proposed strategy takes into account global uncertainties related to the noninertial coupled fluid forces (related to damping and stiffness). The resulting random eigenvalue problem is used to analyze flutter and divergence unstable modes of the system for different values of the dimensionless flow speed. The numerical results show the random response of the system for different levels of uncertainty, and the reliability of the system for different dimensionless speeds and levels of uncertainty. |
| |
| Keywords: | Fluid–structure interaction Uncertainty quantification Stochastic dynamics Stochastic stability analysis Reliability analysis |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
