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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Lee, Taeyoung (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Leok, Melvin (http://id.loc.gov/vocabulary/relators/aut), McClamroch, N. Harris (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
Έκδοση:1st ed. 2018.
Σειρά:Interaction of Mechanics and Mathematics,
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.