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Nonlinear analysis of a cantilever pipe containing pulsatile flow

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Publication:1405443
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DOI10.1023/A:1022039905834zbMath1026.74023OpenAlexW127920147MaRDI QIDQ1405443

Zsolt Szabó

Publication date: 25 August 2003

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022039905834


zbMATH Keywords

chaotic motionChebyshev polynomialsforcing frequencyFloquet theorybifurcation diagramspulsatile flowphase lockingGalerkin techniqueperturbation amplitudeHamiltonian action functioncantilever elastic pipesecondary Hopf bifurcations


Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)


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Primary and secondary resonances in pipes conveying fluid with the fractional viscoelastic model




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