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E-raamat: Rigid Body Dynamics

(Universitat Politècnica de Catalunya, Barcelona), (Universitat Politècnica de Catalunya, Barcelona)
  • Formaat: PDF+DRM
  • Ilmumisaeg: 14-Apr-2022
  • Kirjastus: Cambridge University Press
  • Keel: eng
  • ISBN-13: 9781108902250
  • Formaat - PDF+DRM
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  • Formaat: PDF+DRM
  • Ilmumisaeg: 14-Apr-2022
  • Kirjastus: Cambridge University Press
  • Keel: eng
  • ISBN-13: 9781108902250

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Building up from first principles and simple scenarios, this comprehensive introduction to rigid body dynamics introduces readers to tools to address real-world problems, and cutting-edge research topics. Including over 100 problems with solutions, this is an ideal companion for undergraduate students in aerospace, civil and mechanical engineering.

Building up from first principles and simple scenarios, this comprehensive introduction to rigid body dynamics gradually introduces readers to tools to address involved real-world problems, and cutting-edge research topics. Using a unique blend of conceptual, theoretical and practical approaches, concepts are developed and rigorously applied to practical examples in a consistent and understandable way. It includes discussion of real-world applications including robotics and vehicle dynamics, and over 40 thought-provoking fully worked examples to cement readers' understanding. Providing a wealth of resources allowing readers to confidently self-assess – including over 100 problems with solutions, over 400 high quality multiple choice questions, and end-of-chapter puzzles dealing with everyday situations – this is an ideal companion for undergraduate students in aerospace, civil and mechanical engineering.

Arvustused

'As a teacher of mechanics to engineering graduate students for more than 30 years, I have always been inspired by the particular clear and rigorous style followed by the authors to present the concepts and ideas of mechanics. This second volume in this series on mechanics of particles and rigid bodies culminates their work in collecting a lifelong experience into this book series. The explicit notation and language and the numerous examples and exercises make it a perfect learning companion. This book on dynamics, along with its kinematics companion, are my first choices as teaching reference books.' Javier Ros, Public University of Navarre (UPNA) 'A rigorous and thorough account of the dynamics of systems of rigid bodies, this book is an invaluable reference for the practitioner and a foundational teaching guide for the student. A treasure trove of examples, exercises and quizzes provide the necessary additional scaffolding for a real understanding of the subject.' Juan Reyero, greaterskies.com 'Rigid Body Dynamics is a textbook of classical mechanics highly recommended for engineering students, because the principles of rigid body dynamics are applied to practical cases. The authors present a textbook following the style of their previous work (Rigid Body Kinematics), of which this textbook is a natural continuation. The textbook is beautifully illustrated with realistic schemes that make a clear and easily understandable text ' Maria Rosario Isabel Lopez Hermoso, University of Barcelona 'This comprehensive introduction to rigid body dynamics is a tour de force. The information contained in it is clearly the outcome of distilling a lot of information over years, to come out with an outstandingly clear text with a connecting thread so well designed that no gap is left in the discussion. Every single point is perfectly motivated and proved. The beautifully illustrated examples and exercises are an excellent complement to the theoretical part. As a result, this book is ideal not only for the classroom but also for self-study. From start to finish, it is an instant classic and, from my point of view, one of the very best on the topic.' Federico Thomas, Spanish National Research Council (CSIC) 'At the advanced undergraduate level, this could be an excellent standard text Highly recommended.' M. O. Farooq, Choice

Muu info

Building from principles to cutting-edge research, this introduction to rigid body dynamics includes over 100 problems with solutions.
Preface ix
List of Abbreviations
xii
1 Particle Dynamics
1(78)
1.1 Fundamental Assumptions Underlying Newtonian Dynamics
1(2)
1.2 Galilean and Non-Galilean Reference Frames
3(3)
1.3 Dynamics of a Free Particle: Newton's First Law (Principle of Inertia)
6(1)
1.4 Dynamics of Interacting Particles
7(4)
1.5 Closing the Formulation of Dynamics: From Mach's Axiomalics to Newton's Laws, and Principle of Determinacy
11(1)
1.6 Usual Galilean Reference Frames
12(1)
1.7 Interaction Forces between Particles: Kinematic Dependency
13(2)
1.8 Contact Forces between Particles and Extended Bodies
15(1)
1.9 Formulation of Interaction Forces
16(6)
1.10 Characterization and Limit Conditions of Constraint Forces: Friction Forces
22(6)
1.11 Dynamics in Non-Galilean Reference Frames: Inertial Forces
28(3)
1.12 Examples
31(48)
Appendix 1A Gravitational Field Outside and Inside the Earth's Surface
36(3)
Appendix 1B Dynamics in the Terrestrial Reference Frame (TRF)
39(3)
Quiz Questions
42(19)
Exercises
61(8)
Puzzles
69(3)
Quiz Questions: Answers
72(1)
Exercises: Results
72(3)
Puzzles: Solutions
75(4)
2 Interaction Forces between Rigid Bodies
79(72)
2.1 Torsor of a System of Forces
80(2)
2.2 Formulation of Interaction Torsors: Gravitational Torsor, and Torsion Springs, Dampers, and Drivers
82(3)
2.3 Constraint Torsor between Two Rigid Bodies: Indeterminacy and Ill-Conditioning
85(9)
2.4 Constraint Torsors between Rigid Bodies: Analytical Characterization
94(7)
2.5 Constraint Auxiliary Elements
101(8)
2.6 Constraints in Multibody Systems: Indeterminacy and Ill-Conditioning
109(8)
2.7 Limit Conditions in Multiple-Point Unilateral Constraints: Contact Loss and Overturning
117(3)
2.8 Additional Limit Conditions: Sliding, Rolling, and Pivoting
120(31)
Appendix 2A Gravitational Moments
124(2)
Quiz Questions
126(19)
Puzzles
145(2)
Quiz Questions: Answers
147(1)
Puzzles: Solutions
147(4)
3 Mass Distribution
151(51)
3.1 Center of Mass
151(2)
3.2 Analytical Calculation of the Center of Mass: Pappus-Guldin Theorems
153(5)
3.3 Inertia Tensor
158(4)
3.4 Steiner's Theorem
162(4)
3.5 Rotation of Axes
166(1)
3.6 Principal Directions of Inertia: Symmetrical and Spherical Rotors
167(7)
3.7 Practical Tips to Calculate the Inertia Tensor about a Point Q
174(5)
3.8 Inertia Ellipsoid
179(23)
Quiz Questions
183(13)
Exercises
196(4)
Quiz Questions: Answers
200(1)
Exercises: Results
200(2)
4 Vector Theorems
202(114)
4.1 Linear Momentum Theorem in Galilean Reference Frames
203(3)
4.2 Angular Momentum Theorem in Galilean Reference Frames
206(6)
4.3 Barycentric Decomposition of the Angular Momentum
212(2)
4.4 Angular Momentum of a Rigid Body
214(13)
4.5 Dynamic Properties of the Principal Axes of Inertia (PAI)
227(7)
4.6 Time Integral of the Vector Theorems: Force Impulse and Angular Impulse
234(4)
4.7 Vector Theorems in General Non-Galilean Reference Frames
238(78)
Appendix 4A Static and Dynamic Balancing of a Rotor
244(4)
Quiz Questions
248(28)
Exercises
276(26)
Puzzles
302(3)
Quiz Questions: Answers
305(1)
Exercises: Results
305(7)
Puzzles: Solutions
312(4)
5 Work-Energy Theorem
316(90)
5.1 Work-Energy Theorem: Kinetic Energy, Work and Power done by a Force
317(2)
5.2 Barycentric Decomposition of the Kinetic Energy
319(1)
5.3 Work-Energy Theorem in Non-Galilean Reference Frames with Translational Motion Relative to a Galilean Frame
320(2)
5.4 Kinetic Energy of a Rigid Body
322(5)
5.5 Work Associated with the Internal Forces
327(6)
5.6 Work Associated with the Forces on a Rigid Body
333(1)
5.7 Work Associated with External Constraint and Friction Forces
334(2)
5.8 Work Associated with Conservative Forces: Conservative Systems
336(2)
5.9 Potential Energy
338(6)
5.10 One-DoF Systems with Constant Mechanical Energy: Equilibrium Configurations and Stability
344(4)
5.11 The Utopia of Perpetual Motion
348(5)
5.12 Work-Energy Theorem in Non-Galilean Reference Frames
353(53)
Appendix 5A Rotation Stability in a Free Rigid Body
357(4)
Quiz Questions
361(22)
Exercises
383(15)
Puzzles
398(2)
Quiz. Questions: Answers
400(1)
Exercises: Results
400(4)
Puzzles: Solutions
404(2)
6 The Method of Virtual Power
406(57)
6.1 D'Alembert Inertial Forces: Formulation of the Method of Virtual Power
406(2)
6.2 The Equations of Motion through the MVP
408(3)
6.3 The Constraint Forces through the MVP
411(3)
6.4 Torsor of D'Alembert Inertial Forces in a Rigid Body
414(49)
Quiz Questions
425(15)
Exercises
440(14)
Puzzles
454(2)
Quiz Questions: Answers
456(1)
Exercises: Results
456(4)
Puzzles: Solutions
460(3)
7 Lagrange's Equations
463(41)
7.1 Generalized Forces in the Method of Virtual Power
463(1)
7.2 Components of the Generalized D'Alembert Inertial Force
464(3)
7.3 Components of the Generalized Conservative Force
467(1)
7.4 Lagrange's Equations
468(4)
7.5 Constraint Forces from Lagrange's Equations
472(2)
7.6 Lagrange's Equations with Multipliers
474(4)
7.7 Hamilton's Principle
478(26)
Appendix 7A Equilibrium Configurations
479(3)
Quiz Questions
482(12)
Exercises
494(8)
Quiz Questions: Answers
502(1)
Exercises: Results
502(2)
8 Introduction to Percussive Dynamics
504(75)
8.1 Introduction to Percussive Problems
504(6)
8.2 Percussive Behavior of Constraints
510(4)
8.3 Percussions Associated with Dry Friction
514(1)
8.4 Percussive Formulation of the Vector Theorems
515(4)
8.5 Percussion Center
519(1)
8.6 Percussive Formulation of the Work-Energy Theorem
520(3)
8.7 Energy Balance: Newton's Restitution Rule
523(8)
8.8 Percussive Formulation of the Method of Virtual Power
531(2)
8.9 Percussive Formulation of Lagrange's Equations
533(4)
8.10 Multiple-Point Collisions
537(42)
Appendix 8A Rough Collisions
540(4)
Quiz Questions
544(19)
Exercises
563(11)
Puzzles
574(1)
Quiz Questions: Answers
575(1)
Exercises: Results
575(2)
Puzzles: Solutions
577(2)
Bibliography 579(1)
Further Reading 579(1)
Index 580
Joaquim A. Batlle is Emeritus Professor of Mechanical Engineering at the Universitat Politècnica de Catalunya, and a member of the Royal Academy of Sciences and Arts of Barcelona. Ana Barjau Condomines is Associate Professor of Mechanical Engineering at the Universitat Politècnica de Catalunya.