Mathematical modeling of the dynamic stability of fluid conveying pipe based on integral equation formulations. (October 2016)

• Record Type: Journal Article
• Authors: Elfelsoufi, Z.; Azrar, L.
• Is Part Of: International journal of pressure vessels and piping. Volume 146(2016)
• Page Start: 135
• Page End: 150
• Publication Date: 2016-10
• Subjects: Flutter -- Vibration -- Buckling -- Fluid conveying pipe -- Integral equations -- Radial basis functions; Pressure vessels -- Periodicals; Pipe -- Periodicals; Récipients sous pression -- Périodiques; Tuyaux -- Périodiques; Pipe; Pressure vessels; Periodicals; 681.76041
• DOI: 10.1016/j.ijpvp.2016.08.001
• Languages: English
• ISSNs: 0308-0161

Abstract

Abstract: In this paper, a mathematical modeling of flutter and divergence analyses of fluid conveying pipes based on integral equation formulations is presented. Dynamic stability problems related to fluid pressure, velocity, tension, topography slope and viscoelastic supports and foundations are formulated. A methodological approach is presented and the required matrices, associated to the influencing fluid and pipe parameters, are explicitly given. Internal discretizations are used allowing to investigate the deformation, the bending moment, slope and shear force at internal points. Velocity–frequency, pressure-frequency and tension-frequency curves are analyzed for various fluid parameters and internal elastic supports. Critical values of divergence and flutter behaviors with respect to various fluid parameters are investigated. This model is general and allows the study of dynamic stability of tubes crossed by stationary and instationary fluid on various types of supports. Accurate predictions can be obtained and are of particular interest for a better performance and for an optimal safety of piping system installations. Highlights: Modeling the flutter and divergence of fluid conveying pipes based on RBF. Dynamic analysis of a fluid conveying pipe with generalized boundary conditions. Considered parameters fluid are the pressure, tension, slopes topography, velocity. Internal support increase the critical velocity value. This methodologies determine the fluid parameters effects.