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.
| Original language | English (US) |
|---|---|
| Title of host publication | Solid Mechanics and its Applications |
| Publisher | Springer Verlag |
| Pages | 143-187 |
| Number of pages | 45 |
| DOIs | |
| State | Published - Jan 1 2020 |
Publication series
| Name | Solid Mechanics and its Applications |
|---|---|
| Volume | 260 |
| ISSN (Print) | 0925-0042 |
| ISSN (Electronic) | 2214-7764 |
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All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering
Cite this
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Eulerian and Lagrangian Descriptions. / Mottaghi, Sohrob; Gabbai, Rene; Benaroya, Haym.
Solid Mechanics and its Applications. Springer Verlag, 2020. p. 143-187 (Solid Mechanics and its Applications; Vol. 260).Research output: Chapter in Book/Report/Conference proceeding › Chapter
TY - CHAP
T1 - Eulerian and Lagrangian Descriptions
AU - Mottaghi, Sohrob
AU - Gabbai, Rene
AU - Benaroya, Haym
PY - 2020/1/1
Y1 - 2020/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85071506657&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85071506657&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-26133-7_6
DO - 10.1007/978-3-030-26133-7_6
M3 - Chapter
T3 - Solid Mechanics and its Applications
SP - 143
EP - 187
BT - Solid Mechanics and its Applications
PB - Springer Verlag
ER -