Determination of natural frequencies of fluid-conveying pipes using homotopy perturbation method

DOI10.1016/j.camwa.2010.04.049zbMath1201.76199OpenAlexW2043796918MaRDI QIDQ611332

Sumit K. Garg

Publication date: 14 December 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.04.049

zbMATH Keywords

natural frequencyhomotopy perturbation methodfluid-conveying pipes

Mathematics Subject Classification ID

Related Items (8)

Parametric resonance of shear deformable nanotubes: a novel higher-order model incorporating nonlinearity from both curvature and inertia ⋮ Flow-induced vibration analysis of supported pipes conveying pulsating fluid using precise integration method ⋮ Stability analysis of nonlocal elastic columns with initial imperfection ⋮ An efficient stochastic natural frequency analysis method for axially varying functionally graded material pipe conveying fluid ⋮ Dynamic behavior of axially functionally graded pipes conveying fluid ⋮ Vibration analysis of conveying fluid pipe via He's variational iteration method ⋮ The effect of various boundary conditions on the nonlinear dynamics of slightly curved pipes under thermal loading ⋮ Free vibration and stability analysis of a multi-span pipe conveying fluid using exact and variational iteration methods combined with transfer matrix method

Cites Work

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• Exact solutions of Laplace equation by homotopy-perturbation and Adomian decomposition methods
• Homotopy perturbation method for solving hyperbolic partial differential equations
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• Homotopy perturbation method for solving boundary value problems
• Homotopy perturbation technique
• Application of homotopy perturbation method to nonlinear wave equations
• Perturbation methods and non-linear hyperbolic waves
• Unstable oscillation of tubular cantilevers conveying fluid I. Theory

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