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πŸ“

Analytical Dynamics of Discrete Systems

✍ Scribed by Reinhardt M. Rosenberg (auth.)


Publisher
Springer US
Year
1977
Tongue
English
Leaves
430
Series
Mathematical Concepts and Methods in Science and Engineering
Edition
1
Category
Library

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✦ Synopsis


This book is to serve as a text for engineering students at the senior or beginning graduate level in a second course in dynamics. It grew out of many years experience in teaching such a course to senior students in mechanical engineering at the University of California, Berkeley. While temperamentally disinclined to engage in textbook writing, I nevertheless wrote the present volume for the usual reason-I was unable to find a satisfactory English-language text with the content covered in my interΒ­ mediate course in dynamics. Originally, I had intended to fit this text very closely to the content of my dynamics course for seniors. However, it soon became apparent that that course reflects too many of my personal idiosyncracies, and perhaps it also covers too little material to form a suitable basis for a general text. Moreover, as the manuscript grew, so did my interest in certain phases of the subject. As a result, this book contains more material than can be studied in one semester or quarter. My own course covers Chapters 1 to 5 (Chapters 1,2, and 3 lightly) and Chapters 8 to 20 (Chapter 17 lightly).

✦ Table of Contents


Front Matter....Pages N1-xvii
Introduction....Pages 1-5
Dynamical Systems....Pages 7-18
Representations of the Motion....Pages 19-28
Constraints....Pages 29-53
The Strictly Newtonian Mechanics Problem....Pages 55-60
Some Rigid Body Kinematics....Pages 61-85
Some Rigid Body Kinetics....Pages 87-114
The Nature of Lagrangean Mechanics....Pages 115-117
Virtual Displacement and Virtual Work....Pages 119-159
Hamilton’s Principle....Pages 161-184
Generalized Coordinates....Pages 185-200
The Fundamental Equation in Generalized Coordinates....Pages 201-210
Lagrange’s Equations....Pages 211-238
Embedding Constraints....Pages 239-246
Formulating Problems by Lagrange’s Equations....Pages 247-272
The Integration....Pages 273-299
Stability....Pages 301-321
Applications....Pages 323-347
About Celestial Problems....Pages 349-371
Topics in Gyrodynamics....Pages 373-389
Impulsive Motion....Pages 391-414
Back Matter....Pages 415-425

✦ Subjects


Analysis


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