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Flow Induced Bifurcations to Three-Dimensional Oscillatory Motions in Continuous Tubes - MaRDI portal

Flow Induced Bifurcations to Three-Dimensional Oscillatory Motions in Continuous Tubes (Q3335313)

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Flow Induced Bifurcations to Three-Dimensional Oscillatory Motions in Continuous Tubes
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    Flow Induced Bifurcations to Three-Dimensional Oscillatory Motions in Continuous Tubes (English)
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    1984
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    Three-dimensional motions of a cantilever tube carrying an incompressible fluid
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    rotational symmetry about the vertical axis
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    bifurcating oscillatory solutions
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    flow velocity
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    mass ratio of the fluid and the tube
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    critical value
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    zero solution becomes unstable
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    double pair of complex conjugate eigenvalues
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    linearised operator
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    center manifold theory
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    method of integral averaging
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    four nonlinear ordinary differential
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    bifurcates
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