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...
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Boston, MA :
Springer US,
2005.
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.