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Dynamics of Particles and Rigid Bodies: A Self-Learning Approach [Mīkstie vāki]

  • Formāts: Paperback / softback, 376 pages, height x width x depth: 241x170x23 mm, weight: 703 g
  • Sērija : Wiley-ASME Press Series
  • Izdošanas datums: 10-Aug-2018
  • Izdevniecība: Wiley-ASME Press
  • ISBN-10: 1119463149
  • ISBN-13: 9781119463146
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  • Mīkstie vāki
  • Cena: 120,97 €
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  • Formāts: Paperback / softback, 376 pages, height x width x depth: 241x170x23 mm, weight: 703 g
  • Sērija : Wiley-ASME Press Series
  • Izdošanas datums: 10-Aug-2018
  • Izdevniecība: Wiley-ASME Press
  • ISBN-10: 1119463149
  • ISBN-13: 9781119463146
Citas grāmatas par šo tēmu:

A unique approach to teaching particle and rigid body dynamics using solved illustrative examples and exercises to encourage self-learning

The study of particle and rigid body dynamics is a fundamental part of curricula for students pursuing graduate degrees in areas involving dynamics and control of systems. These include physics, robotics, nonlinear dynamics, aerospace, celestial mechanics and automotive engineering, among others. While the field of particle and rigid body dynamics has not evolved significantly over the past seven decades, neither have approaches to teaching this complex subject. This book fills the void in the academic literature by providing a uniquely stimulating, “flipped classroom” approach to teaching particle and rigid body dynamics which was developed, tested and refined by the author and his colleagues over the course of many years of instruction at both the graduate and undergraduate levels. 

Complete with numerous solved illustrative examples and exercises to encourage self-learning in a flipped-classroom environment, Dynamics of Particles and Rigid Bodies: A Self-Learning Approach:

  • Provides detailed, easy-to-understand explanations of concepts and mathematical derivations
  • Includes numerous flipped-classroom exercises carefully designed to help students comprehend the material covered without actually solving the problem for them
  • Features an extensive chapter on electromechanical modelling of systems involving particle and rigid body motion
  • Provides examples from the state-of-the-art research on sensing, actuation, and energy harvesting mechanisms
  • Offers access to a companion website featuring additional exercises, worked problems, diagrams and a solutions manual
Ideal as a textbook for classes in dynamics and controls courses, Dynamics of Particles and Rigid Bodies: A Self-Learning Approach is a godsend for students pursuing advanced engineering degrees who need to master this complex subject. It will also serve as a handy reference for professional engineers across an array of industrial domains.
List of Figures
xiii
Preface xxiii
Acknowledgement xxvii
Introduction xxix
About the Companion Website xliii
1 Kinematics of Particles
1(26)
1.1 Inertial Frames
1(1)
1.2 Rotating Frames
2(2)
1.3 Rotation Matrices
4(4)
1.4 Velocity of a Particle in a Three-dimensional Space
8(6)
1.5 Acceleration of a Particle in a Three-dimensional Space
14(13)
Exercises
21(6)
2 Dynamics of Particles: Vectorial Approach
27(28)
2.1 Newton's Second Law of Dynamics
27(10)
2.2 Stiffness and Viscous Damping
37(3)
2.3 Dry Friction
40(3)
2.4 Dynamics of a System of Particles
43(4)
2.5 Newton's Law of Gravitation
47(8)
Exercises
50(4)
Reference
54(1)
3 Dynamics of Rigid Bodies: Vectorial Approach
55(48)
3.1 Center of Mass
55(2)
3.2 Mass Moment of Inertia
57(4)
3.3 Parallel Axis Theorem
61(4)
3.4 Rotation of the Inertia Matrix
65(4)
3.4.1 The Principal Axes
66(3)
3.5 Planar Motion of Rigid Bodies
69(14)
3.5.1 Moment about an Inertial Point
72(1)
3.5.2 Moment about a Moving Point on the Body
73(1)
3.5.3 Moment about the Center of Mass or a Fixed Point on the Body
73(10)
3.6 Non-planar Rigid-body Motion
83(20)
3.6.1 Euler Rotational Equations
85(9)
Exercises
94(7)
Reference
101(2)
4 System Constraints and Virtual Displacement
103(14)
4.1 Constraints
103(7)
4.1.1 Classification of Constraints
104(6)
4.2 Actual and Virtual Displacements
110(3)
4.3 Virtual Work
113(4)
Exercises
115(1)
Reference
116(1)
5 Dynamics of Particles: Analytical Approach
117(44)
5.1 The Brachistochrone Problem
117(6)
5.2 Lagrange's Equation for a Conservative System
123(8)
5.3 Lagrange's Equation for Non-conservative Systems
131(10)
5.3.1 Viscous Damping
134(7)
5.4 Lagrange's Equations with Constraints
141(10)
5.4.1 Physical Interpretation of Lagrange Multipliers
146(5)
5.5 Cyclic Coordinates
151(3)
5.6 Advantages and Disadvantages of the Analytical Approach
154(7)
Exercises
155(4)
References
159(2)
6 Dynamics of Rigid Bodies: Analytical Approach
161(22)
6.1 Kinetic Energy of a Rigid Body
161(5)
6.2 Lagrange's Equation Applied to Rigid Bodies
166(17)
Exercises
176(7)
7 Momentum
183(44)
7.1 Linear Momentum
183(3)
7.2 Collision
186(6)
7.3 Angular Momentum of Particles
192(7)
7.3.1 Angular Impulse
195(4)
7.4 Angular Momentum of Rigid Bodies (Planar Motion)
199(6)
7.4.1 Angular Momentum about an Axis Passing through the Center of Mass
199(2)
7.4.2 Angular Momentum about an Axis Passing through a Fixed Point on the Body
201(1)
7.4.3 Angular Momentum about an Axis Passing through an Arbitrary Inertial Point
201(4)
7.5 Angular Momentum of Rigid Bodies (Non-planar Motion)
205(8)
7.5.1 Angular Momentum about a Set of Axes Located at the Center of Mass
205(1)
7.5.2 Angular Momentum about a Set of Axes Located at a Fixed Point
206(1)
7.5.3 Angular Momentum about a Set of Axes Located at an Arbitrary Inertial Point
206(1)
7.5.4 Conservation of Angular Momentum for Rigid Bodies
206(7)
7.6 Generalized Momenta
213(14)
Exercises
219(8)
8 Motion of Charged Bodies in an Electric Field
227(58)
8.1 Electrostatics
227(20)
8.1.1 Electrostatic Forces
227(2)
8.1.2 Electric Field
229(3)
8.1.3 Electric Flux
232(2)
8.1.4 Electrostatic Potential Energy
234(1)
8.1.5 Electric Potential (Voltage)
235(2)
8.1.6 Capacitance
237(2)
8.1.7 Motion in an Electric Field
239(8)
8.2 Electromagnetism
247(21)
8.2.1 Electromagnetic Force
247(6)
8.2.2 Forces on a Current-carrying Conductor
253(2)
8.2.3 Electromagnetic Coupling
255(2)
8.2.4 Ampere's Law
257(5)
8.2.5 Faraday's Law of Induction
262(6)
8.3 Lagrangian Formulation for Electrical Elements
268(5)
8.3.1 Capacitor
268(1)
8.3.2 Inductor
269(1)
8.3.3 Resistor
269(4)
8.4 Maxwell's Equations
273(2)
8.4.1 Maxwell's First Equation
273(1)
8.4.2 Maxwell's Second Equation
273(1)
8.4.3 Maxwell's Third Equation
274(1)
8.4.4 Maxwell's Fourth Equation
274(1)
8.5 Lagrangian Formulation of the Lorentz Force
275(10)
Exercises
279(5)
References
284(1)
9 Introduction to Analysis Tools
285(42)
9.1 Basic Definitions
285(2)
9.2 Equilibrium Solutions of Dynamical Systems
287(1)
9.3 Stability and Classification of Equilibrium Solutions
288(8)
9.4 Phase-plane Representation of the Dynamics
296(12)
9.4.1 Conservative Systems
296(7)
9.4.2 Non-conservative Systems
303(5)
9.5 Bifurcation of Equilibrium Solutions
308(15)
9.5.1 Static Bifurcations
308(7)
9.5.2 Dynamic (Hopf) Bifurcation
315(8)
9.6 Basins of Attraction
323(4)
Exercises
324(2)
References
326(1)
Index 327
Mohammed F. Daqaq, PhD, is a Global Network Associate Professor of Mechanical Engineering at New York University, Abu Dhabi. His research focuses on the application of various nonlinear phenomena to improve the performance of micro-power generation systems, micro-electromechanical systems, and vibration assisted manufacturing processes. He serves as an Associate Editor of the ASME Journal of Vibration and Acoustics and as a Subject Editor of the Journal Nonlinear Dynamics.