Analytical Dynamics Theory and Applications /
In his great work, Mecanique Analytique (1788)-^Lagrange used the term "analytical" to mean "non-geometrical." Indeed, Lagrange made the following boast: "No diagrams will be found in this work. The methods that I explain in it require neither constructions nor geometrical o...
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| Format: | Electronic eBook |
| Language: | English |
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Boston, MA :
Springer US,
2005.
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| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- Review of Newtonian Dynamics
- Motion and Constraints
- Virtual Displacement and Virtual Work
- Variational Principles
- Generalized Coordinates
- Lagrange’s Equations
- Formulation of Equations
- Integration of Equations
- Examples
- Central Force Motion
- Gyroscopic Motion
- Stability Of Motion
- Impulsive Motion
- Gibbs-Appell Equations
- Hamilton’s Equations
- Contact Transformations
- Hamilton-Jacobi Equation
- Approximation Methods.
