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Modeling Nonlinear Problems in the Mechanics of Strings and Rods: The Role of the Balance Laws - Brossura

 
9783319844374: Modeling Nonlinear Problems in the Mechanics of Strings and Rods: The Role of the Balance Laws

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This book presents theories of deformable elastic strings and rods and their application to broad classes of problems. Readers will gain insights into the formulation and analysis of models for mechanical and biological systems. Emphasis is placed on how the balance laws interplay with constitutive relations to form a set of governing equations. For certain classes of problems, it is shown how a balance of material momentum can play a key role in forming the equations of motion. The first half of the book is devoted to the purely mechanical theory of a string and its applications. The second half of the book is devoted to rod theories, including Euler’s theory of the elastica, Kirchhoff ’s theory of an elastic rod, and a range of Cosserat rod theories. A variety of classic and recent applications of these rod theories are examined. Two supplemental chapters, the first on continuum mechanics of three-dimensional continua and the second on methods from variational calculus, are included to provide relevant background for students.

This book is suited for graduate-level courses on the dynamics of nonlinearly elastic rods and strings.

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Informazioni sull?autore

Oliver M. O’Reilly is a professor in the Department of Mechanical Engineering at the University of California at Berkeley (UCB). He received his B.E. in Mechanical Engineering from the National University of Ireland, Galway (NUIG) in 1985. Subsequently, he received his M.S. and Ph.D. degrees in Theoretical and Applied Mechanics from Cornell University. At Cornell, he studied under Phil Holmes and Frank Moon. Prior to joining the faculty at UCB in 1992, he spent two years as a postdoctoral researcher at the Institut für Mechanik at ETH-Zürich under Jürg Dual.

O’Reilly’s interests span the fields of continuum mechanics and nonlinear dynamics. He has a broad range of specializations including Cosserat theories of deformable bodies, constrained rigid body dynamics, contact mechanics, linear and nonlinear vibrations, and linear and nonlinear dynamics of deformable bodies. He has applied these interests to a range of applications including soft robots, MEMS resonators, brake squeal, the dynamics of toys, motorcycle navigation, axially moving media, artificial and natural satellites, spinal kinematics, and vehicle collision dynamics. O’Reilly has coauthored over 90 archival journal articles, written three text books and is a co-inventor on two patents. He has also received several teaching awards including U.C. Berkeley's Distinguished Teaching Award in 1999, the Pi-Tau-Sigma Professor of the Year Award in 2003 and the Tau-Beta-Pi Outstanding Faculty of the Year Award in 2013.



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This book presents theories of deformable elastic strings and rods and their application to broad classes of problems. Readers will gain insights into the formulation and analysis of models for mechanical and biological systems. Emphasis is placed on how the balance laws interplay with constitutive relations to form a set of governing equations. For certain classes of problems, it is shown how a balance of material momentum can play a key role in forming the equations of motion. The first half of the book is devoted to the purely mechanical theory of a string and its applications. The second half of the book is devoted to rod theories, including Euler s theory of the elastica, Kirchhoff s theory of an elastic rod, and a range of Cosserat rod theories. A variety of classic and recent applications of these rod theories are examined. Two supplemental chapters, the first on continuum mechanics of three-dimensional continua and the second on methods from variational calculus, are included to provide relevant background for students.

This book is suited for graduate-level courses on the dynamics of nonlinearly elastic rods and strings.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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9783319505961: Modeling Nonlinear Problems in the Mechanics of Strings and Rods: The Role of the Balance Laws

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ISBN 10:  3319505963 ISBN 13:  9783319505961
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes two appendices that review topics on continuum mechanics and variational methodsSeparated into two parts on strings and rods for convenience of reading and learningContains many examples and illustrations throughoutInclu. Codice articolo 458624759

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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book presents theories of deformable elastic strings and rods and their application to broad classes of problems. Readers will gain insights into the formulation and analysis of models for mechanical and biological systems. Emphasis is placed on how the balance laws interplay with constitutive relations to form a set of governing equations. For certain classes of problems, it is shown how a balance of material momentum can play a key role in forming the equations of motion. The first half of the book is devoted to the purely mechanical theory of a string and its applications. The second half of the book is devoted to rod theories, including Euler's theory of the elastica, Kirchhoff 's theory of an elastic rod, and a range of Cosserat rod theories. A variety of classic and recent applications of these rod theories are examined. Two supplemental chapters, the first on continuum mechanics of three-dimensional continua and the second on methods from variational calculus, are included to provide relevant background for students.This book is suited for graduate-level courses on the dynamics of nonlinearly elastic rods and strings. 448 pp. Englisch. Codice articolo 9783319844374

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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents theories of deformable elastic strings and rods and their application to broad classes of problems. Readers will gain insights into the formulation and analysis of models for mechanical and biological systems. Emphasis is placed on how the balance laws interplay with constitutive relations to form a set of governing equations. For certain classes of problems, it is shown how a balance of material momentum can play a key role in forming the equations of motion. The first half of the book is devoted to the purely mechanical theory of a string and its applications. The second half of the book is devoted to rod theories, including Euler's theory of the elastica, Kirchhoff 's theory of an elastic rod, and a range of Cosserat rod theories. A variety of classic and recent applications of these rod theories are examined. Two supplemental chapters, the first on continuum mechanics of three-dimensional continua and the second on methods from variational calculus, are included to provide relevant background for students.This book is suited for graduate-level courses on the dynamics of nonlinearly elastic rods and strings. Codice articolo 9783319844374

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Taschenbuch. Condizione: Neu. Neuware -This book presents theories of deformable elastic strings and rods and their application to broad classes of problems. Readers will gain insights into the formulation and analysis of models for mechanical and biological systems. Emphasis is placed on how the balance laws interplay with constitutive relations to form a set of governing equations. For certain classes of problems, it is shown how a balance of material momentum can play a key role in forming the equations of motion. The first half of the book is devoted to the purely mechanical theory of a string and its applications. The second half of the book is devoted to rod theories, including Euler¿s theory of the elastica, Kirchhoff ¿s theory of an elastic rod, and a range of Cosserat rod theories. A variety of classic and recent applications of these rod theories are examined. Two supplemental chapters, the first on continuum mechanics of three-dimensional continua and the second on methods from variational calculus, are included to provide relevant background for students.This book is suited for graduate-level courses on the dynamics of nonlinearly elastic rods and strings.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 448 pp. Englisch. Codice articolo 9783319844374

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