Application of the differential transformation method to vibration analysis of pipes conveying fluid

DOI10.1016/j.amc.2011.01.116zbMath1346.74038OpenAlexW1979371194MaRDI QIDQ716112

D. Kharzeev

Publication date: 19 April 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.116

zbMATH Keywords

critical flow velocitynatural frequency

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10)

Related Items (24)

Surface stress effect on the vibration and instability of nanoscale pipes conveying fluid based on a size-dependent Timoshenko beam model ⋮ In-plane forced vibration of curved pipe conveying fluid by Green function method ⋮ Application of harmonic differential quadrature (HDQ) method for vibration analysis of pipes conveying fluid ⋮ Nonlinear dynamics of a vertical pipe subjected to a two-phase, solid-liquid internal flow ⋮ Nonlinear vibration analysis of functionally graded flow pipelines under generalized boundary conditions based on homotopy analysis ⋮ Dynamics of a harmonically excited nonlinear pipe conveying fluid equipped with a local nonlinear energy sink ⋮ Effect of First Order Chemical Reaction on Magneto Convection in a Vertical Double Passage Channel ⋮ Lateral-Torsional Buckling of Nonuniformly Loaded Beam Using Differential Transformation Method ⋮ A new \textbf{displacement} model for nonlinear vibration analysis of fluid-conveying anisotropic laminated tubular beams resting on elastic foundation ⋮ Stability analysis of cantilever carbon nanotubes subjected to partially distributed tangential force and viscoelastic foundation ⋮ Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach ⋮ Principal parametric resonances of a general continuous system with cubic nonlinearities ⋮ Vibration analysis of three-dimensional pipes conveying fluid with consideration of steady combined force by transfer matrix method ⋮ Dynamic response of clamped axially moving beams: integral transform solution ⋮ Vibration analysis of conveying fluid pipe via He's variational iteration method ⋮ Vibration and instability analysis of nanotubes conveying fluid subjected to a longitudinal magnetic field ⋮ Stability and free vibration analyses of double-bonded micro composite sandwich cylindrical shells conveying fluid flow ⋮ Nonlinear dynamics of straight fluid-conveying pipes with general boundary conditions and additional springs and masses ⋮ Electro-thermo-mechanical vibration and stability analyses of double-bonded micro composite sandwich piezoelectric tubes conveying fluid flow ⋮ The effect of various boundary conditions on the nonlinear dynamics of slightly curved pipes under thermal loading ⋮ Stability analysis of cantilever functionally graded material nanotube under thermo-magnetic coupling effect ⋮ Free vibration and stability analysis of a multi-span pipe conveying fluid using exact and variational iteration methods combined with transfer matrix method ⋮ Non-dimensional analysis of the bandgap formation in a locally resonant metamaterial pipe conveying fluid ⋮ Vibration characteristics of the drill string subjected to spinning motion and multiple stabilizers by means of Green's functions

Cites Work

• Generalized differential transform method to differential-difference equation
• Application of the differential transformation method to the free vibrations of strongly non-linear oscillators
• A cantilever conveying fluid: coherent modes versus beam modes
• A multi-step differential transform method and application to non-chaotic or chaotic systems
• Analysis of the vibration of an elastic beam supported on elastic soil using the differential transform method
• Application of differential transformation to eigenvalue problems
• Application of the differential transformation method to a nonlinear conservative system
• Instability of simply supported pipes conveying fluid under thermal loads
• Transverse vibration of a rotating twisted Timoshenko beams under axial loading using differential transform
• A FINITE ELEMENT METHOD FOR MODELLING THE VIBRATION OF INITIALLY TENSIONED THIN-WALLED ORTHOTROPIC CYLINDRICAL TUBES CONVEYING FLUID
• n-Dimensional differential transformation method for solving PDEs

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