Intermediate dynamics : a linear algebraic approach
As the name implies, Intermediate Dynamics: A Linear Algebraic Approach views "intermediate dynamics"--Newtonian 3-D rigid body dynamics and analytical mechanics--from the perspective of the mathematical field. This is particularly useful in the former: the inertia matrix can be determined...
Tallennettuna:
| Päätekijä: | |
|---|---|
| Muut tekijät: | |
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
New York, NY :
Springer US
[20..].
Cham : Springer Nature |
| Painos: | 1st ed. 2006. |
| Sarja: | Mechanical Engineering Series
|
| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Intermediate Dynamics: A Linear Algebraic Approach, Texte imprimé, 9780387280592 |
| LEADER | 04275nam a22003857a 4500 | ||
|---|---|---|---|
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| 020 | |a 0387283161 (en ligne) | ||
| 020 | |a 9780387283166 (en ligne) | ||
| 041 | 0 | |a eng | |
| 082 | |a 621 | ||
| 100 | 1 | |a Rowland, R. A., |d 19..- | |
| 245 | 1 | 0 | |a Intermediate dynamics : |b a linear algebraic approach |c R. A. Rowland. |
| 250 | |a 1st ed. 2006. | ||
| 260 | |a New York, NY : |b Springer US. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Mechanical Engineering Series |x 2192-063X | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Index | ||
| 505 | 1 | |a Linear Algebra Prologue Vector Spaces Linear Transformations on Vector Spaces Special Case Square Matrices Epilogue 3-D Rigid Body Dynamics Prologue Kinematics Kinetics Epilogue Analytical Dynamics Prologue Analytical Dynamics: Perspective Lagrangian Dynamics: Kinematics Lagrangian Dynamics: Kinetics Integrals of Motion Hamiltonian Dynamics Epilogue | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a As the name implies, Intermediate Dynamics: A Linear Algebraic Approach views "intermediate dynamics"--Newtonian 3-D rigid body dynamics and analytical mechanics--from the perspective of the mathematical field. This is particularly useful in the former: the inertia matrix can be determined through simple translation (via the Parallel Axis Theorem) and rotation of axes using rotation matrices. The inertia matrix can then be determined for simple bodies from tabulated moments of inertia in the principal axes; even for bodies whose moments of inertia can be found only numerically, this procedure allows the inertia tensor to be expressed in arbitrary axes--something particularly important in the analysis of machines, where different bodies' principal axes are virtually never parallel. To understand these principal axes (in which the real, symmetric inertia tensor assumes a diagonalized "normal form"), virtually all of Linear Algebra comes into play. Thus the mathematical field is first reviewed in a rigorous, but easy-to-visualize manner. 3-D rigid body dynamics then become a mere application of the mathematics. Finally analytical mechanics--both Lagrangian and Hamiltonian formulations--is developed, where linear algebra becomes central in linear independence of the coordinate differentials, as well as in determination of the conjugate momenta. Features include: o A general, uniform approach applicable to "machines" as well as single rigid bodies. o Complete proofs of all mathematical material. Similarly, there are over 100 detailed examples giving not only the results, but all intermediate calculations. o An emphasis on integrals of the motion in the Newtonian dynamics. o Development of the Analytical Mechanics based on Virtual Work rather than Variational Calculus, both making the presentation more economical conceptually, and the resulting principles able to treat both conservative and non-conservative systems | ||
| 650 | |a Algèbre linéaire | ||
| 650 | |a Dynamique | ||
| 700 | 1 | |a Ling, Frederick F., |d 1927-2014. |4 pbd | |
| 776 | 0 | |t Intermediate Dynamics: A Linear Algebraic Approach |b Texte imprimé |z 9780387280592 | |
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| 856 | 4 | |5 452349901:747907676 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/0-387-28316-1 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750920696 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/0-387-28316-1 |z Accès INSA CVL | |
| 997 | |0 937623 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||