Hamilton’s principle and Hamilton’s equations with holonomic and non-holonomic constraints
Publication
, Journal Article
Dowell, E
Published in: Nonlinear Dynamics
April 1, 2017
Hamilton’s Principle is written in terms of generalized displacements and momenta. This allows holonomic and non-holonomic constraints to be treated on an equal basis using Lagrange multipliers to derive equations of motion for a dynamical system. Three examples are considered that have been previously considered in the literature by other methods.
Duke Scholars
Published In
Nonlinear Dynamics
DOI
EISSN
1573-269X
ISSN
0924-090X
Publication Date
April 1, 2017
Volume
88
Issue
2
Start / End Page
1093 / 1097
Related Subject Headings
- Acoustics
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Dowell, E. (2017). Hamilton’s principle and Hamilton’s equations with holonomic and non-holonomic constraints. Nonlinear Dynamics, 88(2), 1093–1097. https://doi.org/10.1007/s11071-016-3297-9
Dowell, E. “Hamilton’s principle and Hamilton’s equations with holonomic and non-holonomic constraints.” Nonlinear Dynamics 88, no. 2 (April 1, 2017): 1093–97. https://doi.org/10.1007/s11071-016-3297-9.
Dowell E. Hamilton’s principle and Hamilton’s equations with holonomic and non-holonomic constraints. Nonlinear Dynamics. 2017 Apr 1;88(2):1093–7.
Dowell, E. “Hamilton’s principle and Hamilton’s equations with holonomic and non-holonomic constraints.” Nonlinear Dynamics, vol. 88, no. 2, Apr. 2017, pp. 1093–97. Scopus, doi:10.1007/s11071-016-3297-9.
Dowell E. Hamilton’s principle and Hamilton’s equations with holonomic and non-holonomic constraints. Nonlinear Dynamics. 2017 Apr 1;88(2):1093–1097.
Published In
Nonlinear Dynamics
DOI
EISSN
1573-269X
ISSN
0924-090X
Publication Date
April 1, 2017
Volume
88
Issue
2
Start / End Page
1093 / 1097
Related Subject Headings
- Acoustics
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 01 Mathematical Sciences