Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds A Geometric Approach to Modeling and Analysis /
This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on th...
Κύριοι συγγραφείς: | , , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2018.
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Έκδοση: | 1st ed. 2018. |
Σειρά: | Interaction of Mechanics and Mathematics,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Mathematical Background
- Kinematics
- Classical Lagrangian and Hamiltonian Dynamics
- Langrangian and Hamiltonian Dynamics on (S1)n
- Lagrangian and Hamiltonian Dynamics on (S2)n
- Lagrangian and Hamiltonian Dynamics on SO(3)
- Lagrangian and Hamiltonian Dynamics on SE(3)
- Lagrangian and Hamiltonian Dynamics on Manifolds
- Rigid and Mult-body Systems
- Deformable Multi-body Systems
- Fundamental Lemmas of the Calculus of Variations
- Linearization as an Approximation to Lagrangian Dynamics on a Manifold.