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Non-linear dynamics and stability of circular cylindrical shells conveying flowing fluid

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TLDR
The non-linear dynamics and stability of simply supported, circular cylindrical shells containing inviscid, incompressible fluid flow is analyzed by using the Donnell's nonlinear shallow shell theory as discussed by the authors.
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This article is published in Computers & Structures.The article was published on 2002-04-01. It has received 59 citations till now. The article focuses on the topics: Shell balance & Inviscid flow.

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Nonlinear Vibrations and Stability of Shells and Plates

Marco Amabili
TL;DR: In this article, a comparison of different shell theories for nonlinear vibrations and stability of circular cylindrical shells is presented. But the authors do not consider the effect of boundary conditions on the large-amplitude vibrations of circular cylinders.
Journal ArticleDOI

Analysis of leakage in high pressure pipe using acoustic emission method

TL;DR: In this paper, the authors used non-linear theory for cylindrical shell to derive motion equation under simply supported boundary condition and solved the motion equation by using Galerkin method that resulted in a system of nonlinear equations with 6 degrees of freedom.
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Nonlinear Supersonic Flutter of Circular Cylindrical Shells

TL;DR: In this article, the aeroelastic stability of simply supported, circular cylindrical shells in supersonic flow is investigated by using the Donnell nonlinear shallow-shell theory, and the effect of viscous structural damping is taken into account.
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Thermomechanical vibration analysis of a functionally graded shell with flowing fluid

TL;DR: In this paper, the authors investigated the vibration of functionally graded cylindrical shells with flowing fluid, embedded in an elastic medium, under mechanical and thermal loads, by considering rotary inertia, the first-order shear deformation theory (FSDT) and the fluid velocity potential.
References
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The Mathematica Book

TL;DR: Mathematica has defined the state of the art in technical computing for over a decade, and has become a standard in many of the world's leading companies and universities as discussed by the authors.

The Mathematica book

TL;DR: From the Publisher: Mathematica has defined the state of the art in technical computing for over a decade, and has become a standard in many of the world's leading companies and universities.

AUTO 2000 : CONTINUATION AND BIFURCATION SOFTWARE FOR ORDINARY DIFFERENTIAL EQUATIONS (with HomCont)

TL;DR: This is a guide to the software package AUTO for continuation and bifurcation problems in ordinary differential equations and the development of HomCont has much benefitted from various pieces of help and advice from, among others, W. W. Norton.
Journal ArticleDOI

Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. part i: stability

TL;DR: In this article, the authors investigated the non-linear dynamics and stability of simply supported, circular cylindrical shells containing inviscid incompressible fluid flow, and showed that the system loses stability by divergence.
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