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dc.contributor.authorLiang, F.
dc.contributor.authorYang XD
dc.contributor.authorZhang, W.
dc.contributor.authorQian, Y.J.
dc.contributor.authorMelnik, R.
dc.description.abstractNonlinear normal modes and a numerical iterative approach are applied to study the parametric vibrations of pipes conveying pulsating fluid as an example of gyroscopic continua. The nonlinear non-autonomous governing equations are transformed into a set of pseudo-autonomous ones by employing the harmonic balance method. The nonlinear normal modes are constructed by the invariant manifold method on the state space and a numerical iterative approach is adopted to obtain numerical solutions, in which two types of initial conditions for the modal coefficients are employed. The results show that both initial conditions can lead to fast convergence. The frequency-amplitude responses with some modal motions in phase space are obtained by the present iterative method. Quadrature phase difference and traveling waves are found in the time-domain complex modal analysis.en_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.subjectGyroscopic continuaen_US
dc.subjectPipes conveying pulsating fluiden_US
dc.subjectParametric vibrationen_US
dc.subjectNonlinear normal modesen_US
dc.subjectIterative approachen_US
dc.titleParametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approachen_US
dc.journal.titleAdvances in Applied Mathematics and Mechanicsen_US

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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España