| 000 | 04551nam a22006135i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-56953-6 | ||
| 003 | DE-He213 | ||
| 005 | 20220801222112.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 170814s2018 sz | s |||| 0|eng d | ||
| 020 |
_a9783319569536 _9978-3-319-56953-6 |
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| 024 | 7 |
_a10.1007/978-3-319-56953-6 _2doi |
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| 050 | 4 | _aQA843-871 | |
| 072 | 7 |
_aGPFC _2bicssc |
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_aGPFC _2thema |
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_a515.39 _223 |
| 100 | 1 |
_aLee, Taeyoung. _eauthor. _0(orcid)0000-0003-4982-4150 _1https://orcid.org/0000-0003-4982-4150 _4aut _4http://id.loc.gov/vocabulary/relators/aut _959715 |
|
| 245 | 1 | 0 |
_aGlobal Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds _h[electronic resource] : _bA Geometric Approach to Modeling and Analysis / _cby Taeyoung Lee, Melvin Leok, N. Harris McClamroch. |
| 250 | _a1st ed. 2018. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2018. |
|
| 300 |
_aXXVII, 539 p. 49 illus. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aInteraction of Mechanics and Mathematics, _x1860-6253 |
|
| 505 | 0 | _aMathematical 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. | |
| 520 | _aThis 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 the configuration manifold. In particular, we introduce a general methodology for obtaining globally valid equations of motion on configuration manifolds that are Lie groups, homogeneous spaces, and embedded manifolds, thereby avoiding the difficulties associated with coordinate singularities. The material is presented in an approachable fashion by considering concrete configuration manifolds of increasing complexity, which then motivates and naturally leads to the more general formulation that follows. Understanding of the material is enhanced by numerous in-depth examples throughout the book, culminating in non-trivial applications involving multi-body systems. This book is written for a general audience of mathematicians, engineers, and physicists with a basic knowledge of mechanics. Some basic background in differential geometry is helpful, but not essential, as the relevant concepts are introduced in the book, thereby making the material accessible to a broad audience, and suitable for either self-study or as the basis for a graduate course in applied mathematics, engineering, or physics. | ||
| 650 | 0 |
_aDynamical systems. _959716 |
|
| 650 | 0 |
_aMultibody systems. _96018 |
|
| 650 | 0 |
_aVibration. _96645 |
|
| 650 | 0 |
_aMechanics, Applied. _93253 |
|
| 650 | 0 |
_aSystem theory. _93409 |
|
| 650 | 0 |
_aControl theory. _93950 |
|
| 650 | 0 |
_aMathematics—Data processing. _931594 |
|
| 650 | 1 | 4 |
_aDynamical Systems. _959717 |
| 650 | 2 | 4 |
_aMultibody Systems and Mechanical Vibrations. _932157 |
| 650 | 2 | 4 |
_aSystems Theory, Control . _931597 |
| 650 | 2 | 4 |
_aComputational Mathematics and Numerical Analysis. _931598 |
| 700 | 1 |
_aLeok, Melvin. _eauthor. _0(orcid)0000-0002-8326-0830 _1https://orcid.org/0000-0002-8326-0830 _4aut _4http://id.loc.gov/vocabulary/relators/aut _959718 |
|
| 700 | 1 |
_aMcClamroch, N. Harris. _eauthor. _0(orcid)0000-0002-7536-5659 _1https://orcid.org/0000-0002-7536-5659 _4aut _4http://id.loc.gov/vocabulary/relators/aut _959719 |
|
| 710 | 2 |
_aSpringerLink (Online service) _959720 |
|
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319569512 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319569529 |
| 830 | 0 |
_aInteraction of Mechanics and Mathematics, _x1860-6253 _959721 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-56953-6 |
| 912 | _aZDB-2-ENG | ||
| 912 | _aZDB-2-SXE | ||
| 942 | _cEBK | ||
| 999 |
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