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Beschreibung
This book offers a complete, rigorous review of Linear Algebra, from Vector Spaces to Normal Forms. Emphasizing classical Newtonian treatment (favored by Engineers) of rigid bodies, the text also employs a more modern reliance on Linear Algebra to get inertia matrix and deal with machines. This approach allows uniform treatment of both single bodies in arbitrary axes, and "machines". Analytical dynamics-both Lagrangian and Hamiltonian formulations-are developed to admit non-conservative forces. Throughout, the importance of integrals is emphasized.
This book offers a complete, rigorous review of Linear Algebra, from Vector Spaces to Normal Forms. Emphasizing classical Newtonian treatment (favored by Engineers) of rigid bodies, the text also employs a more modern reliance on Linear Algebra to get inertia matrix and deal with machines. This approach allows uniform treatment of both single bodies in arbitrary axes, and "machines". Analytical dynamics-both Lagrangian and Hamiltonian formulations-are developed to admit non-conservative forces. Throughout, the importance of integrals is emphasized.
Zusammenfassung
This book offers a complete, rigorous review of Linear Algebra, from Vector Spaces to Normal Forms. Emphasizing classical Newtonian treatment (favored by Engineers) of rigid bodies, the text also employs a more modern reliance on Linear Algebra to get inertia matrix and deal with machines. This approach allows uniform treatment of both single bodies in arbitrary axes, and "machines". Analytical dynamics-both Lagrangian and Hamiltonian formulations-are developed to admit non-conservative forces. Throughout, the importance of integrals is emphasized.
Inhaltsverzeichnis
Linear Algebra.- Prologue.- Vector Spaces.- Linear Transformations on Vector Spaces.- Special CaseSquare 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.
Details
Erscheinungsjahr: 2011
Fachbereich: Mechanik & Akustik
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Mechanical Engineering Series
Inhalt: xx
542 S.
ISBN-13: 9781441939203
ISBN-10: 1441939202
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Howland, R. A.
Hersteller: Springer
Springer US, New York, N.Y.
Mechanical Engineering Series
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 31 mm
Von/Mit: R. A. Howland
Erscheinungsdatum: 11.02.2011
Gewicht: 0,844 kg
Artikel-ID: 107252336