Eulerian and lagrangian descriptions for the vibration analysis of a deploying beam

In this study, the equations of motion derived from the Eulerian and Lagrangian descriptions of the vibration analysis of a deploying beam are compared and discussed. After transforming the equations to their corresponding variational equations, the discretized equations for the two descriptions are...

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Bibliographic Details
Published inJournal of mechanical science and technology Vol. 27; no. 9; pp. 2637 - 2643
Main Authors Park, Sungpil, Yoo, Hong Hee, Chung, Jintai
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.09.2013
Springer Nature B.V
대한기계학회
Subjects
Beams (structural)
Control
Descriptions
Dynamical Systems
Engineering
Equations of motion
Industrial and Production Engineering
Mathematical analysis
Mechanical Engineering
Rigid walls
Vibration
Vibration analysis
기계공학
Lagrangian description
Eulerian description
Deploying beam
Longitudinal and transverse vibrations
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ISSN1738-494X
1976-3824
DOI10.1007/s12206-013-0708-4

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Summary:In this study, the equations of motion derived from the Eulerian and Lagrangian descriptions of the vibration analysis of a deploying beam are compared and discussed. After transforming the equations to their corresponding variational equations, the discretized equations for the two descriptions are derived and their equivalence is verified. The numerical time responses obtained from the equations of both descriptions are the same. We recommend use of the Lagrangian description over the Eulerian one when analyzing the vibration of a deploying beam that includes the entirety of the beam inside and outside a rigid wall.
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G704-000058.2013.27.9.021
ISSN:1738-494X
1976-3824
DOI:10.1007/s12206-013-0708-4