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Application of Lagrange's equation to rigid-elastic coupling dynamics.
- Source :
- SCIENCE CHINA Technological Sciences; Aug2017, Vol. 60 Issue 8, p1263-1277, 15p
- Publication Year :
- 2017
-
Abstract
- A consistent focus in theoretical mechanics has been on how to apply Lagrange's equation to continuum mechanics. This paper uses the concept of a variational derivative and its laws of operation to investigate the derivation of Lagrange's equation, which is then applied to nonlinear elasto-dynamics. In accordance with the work-energy principle and the energy conservation law, kinetic and potential energies are proposed for rigid-elastic coupling dynamics, whose governing equation is established by manipulating Lagrange's equation. In addition, case studies are used to demonstrate the application of the proposed method to spacecraft dynamics. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16747321
- Volume :
- 60
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- SCIENCE CHINA Technological Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 124561498
- Full Text :
- https://doi.org/10.1007/s11431-016-0369-6