Abstract
This chapter derives the relations between Eulerian and Lagrangian descriptions of displacement and velocity fields, relations between the time derivatives of system properties, variations, and introduces Jourdain’s variational principle. Jourdain’s principle is then applied to viscous incompressible fluids, and the derivation of the energy rate equation. These equations will be utilized in the subsequent chapter for the derivation of the flow-oscillator model for vortex-induced vibration.
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Mottaghi, S., Gabbai, R., Benaroya, H. (2020). Eulerian and Lagrangian Descriptions. In: An Analytical Mechanics Framework for Flow-Oscillator Modeling of Vortex-Induced Bluff-Body Oscillations. Solid Mechanics and Its Applications, vol 260. Springer, Cham. https://doi.org/10.1007/978-3-030-26133-7_6
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DOI: https://doi.org/10.1007/978-3-030-26133-7_6
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