Nonlinear dynamics of a vertical pipe subjected to a two-phase, solid-liquid internal flow

DOI10.1016/J.APM.2023.04.014zbMath1525.76102MaRDI QIDQ6072722

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Publication date: 13 October 2023

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

Galerkin methodnatural frequencycritical velocitynonlinear dynamicsolid-liquid

Mathematics Subject Classification ID

Suspensions (76T20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

• Unnamed Item
• Dynamical bifurcation and synchronization of two nonlinearly coupled fluid-conveying pipes
• Application of the differential transformation method to vibration analysis of pipes conveying fluid
• Instability of simply supported pipes conveying fluid under thermal loads
• Nonlinear dynamics of fluid-conveying composite pipes subjected to time-varying axial tension in sub- and super-critical regimes
• Vibration analysis of conveying fluid pipe via He's variational iteration method
• Nonlinear vibration analysis of a fractional dynamic model for the viscoelastic pipe conveying fluid
• In-plane and out-of-plane dynamics of a curved pipe conveying pulsating fluid
• Chaotic oscillations of the autonomous system of a constrained pipe conveying fluid
• NUMERICAL SOLUTIONS OF SECOND ORDER IMPLICIT NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS
• Dynamic stability of elastically supported pipes conveying pulsating fluid
• Pipes Supported at Both Ends Cannot Flutter

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