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Most books on this subject are designed for elective courses in "intermediate dynamics" covering advanced Newtonian and introductory Lagrangian methods. Such books do not give adequate emphasis to advanced topics in Newton-Euler dynamics. Because the first required course in dynamics usually concentrates on 2-D dynamics, important 3-D problems are left to a further course. Examples are robots, automated manufacturing devices, aerospace vehicles, and biomechanical components. This material cannot be covered adequately in one course if it is to be shared with an introduction to Langrangian…mehr

Produktbeschreibung
Most books on this subject are designed for elective courses in "intermediate dynamics" covering advanced Newtonian and introductory Lagrangian methods. Such books do not give adequate emphasis to advanced topics in Newton-Euler dynamics. Because the first required course in dynamics usually concentrates on 2-D dynamics, important 3-D problems are left to a further course. Examples are robots, automated manufacturing devices, aerospace vehicles, and biomechanical components. This material cannot be covered adequately in one course if it is to be shared with an introduction to Langrangian methods. This text is devoted to application of Newton-Euler methods to complex, real-life 3-D dynamics problems; it essentially completes this topic. TOC:Introduction and Basic Concepts.- Review of Planar Kinematics.- Coordinate Systems, Components, and Transformations.- Relative Motion.- Foundations of Kinetics.- Kinetics of the Mass Center of a Rigid Body.- Angular Momentum and Inertia Matrix.- Angular Momentum Equations.- Fixed Axis Rotation.- Motion of a Rigid Body withone Point Fixed; Gyroscopic Motion.- Work and Energy.

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  • Produktdetails
  • Verlag: Springer-Verlag GmbH
  • Erscheinungstermin: 28.10.2006
  • Englisch
  • ISBN-13: 9780387232768
  • Artikelnr.: 37287120
Autorenporträt
Mark D. Ardema, Santa Clara University, Santa Clara, CA, USA
Inhaltsangabe
Preface
1: Introduction and Basic Concepts
1.1 Fundamental Definitions and Assumptions
1.2 Position, Velocity, and Acceleration of a Point

2: Review of Planar Kinematics
2.1 Plane Motion of a Point; Rectangular Components of Velocity
and Acceleration
2.2 Example
2.3 Tangential - Normal Components
2.4 Example
2.5 Example
2.6 Radial - Transverse Components
2.7 Example
2.8 Angular Velocity
2.9 Relative Motion of Reference Frames
2.10 Relative Velocity and Acceleration
2.11 Example
2.12 Example
Notes
Problems

3: Coordinate Systems, Components, and Transformation
3.1 Rectangular Coordinates and Components
3.2 Intrinsic Components
3.3 Example
3.4 General Approach to Coordinate Systems and Components
3.5 Cylindrical Coordinates and Components
3.6 Example
3.7 Spherical Coordinates and Components
3.8 Coordinate Transformations
3.9 Examples
Notes Problems

4: Relative Motion 4.1 Introductory Remarks
4.2 Euler's Theorem
4.3 Finite Rotations
4.4 Infinitesimal Rotations and Angular Velocityand Acceleration
4.5 Example
4.6 Basic Kinematic Equation
4.7 Some Properties of Angular Velocity
4.8 Relative Velocity and Acceleration Equations
4.9 Composition Relations for Angular Velocities and Accelerations
4.10 Summary of Relative Motion
4.11 Example
Notes
Problems
5: Foundations of Kinetics
5.1 Newton's Laws of Motion
5.2 Center of Mass
5.3 Example
5.4 Rigid Bodies
5.5 Example
5.6 Example
5.7 Rigid Body Motion
5.8 Proof That the Motion of a Rigid Body Is Specified By the
Motion of Any Body-Fixed Frame
5.9 Proof That All Body-Fixed Frames Have the Same Angular
Velocity
5.10 Gravitation
5.11 Degrees of Freedom and Holonomic Constraints
Notes
Problems
6: Kinetics of the Mass Center of a Rigid Body 6.1Equations of Motion, Two Dimensions
6.2 Example
6.3 Aircraft Equations of Motion in a Vertical Plane
6.4 Equations of Motion, Three Dimensions
6.5 Example
6.6 Motion in Inertial and Non-Inertial Frames
6.7 Example - Rotating Cylindrical Space Station
6.8 Inertial Frames of Reference
6.9 Motion Near the Surface of the Earth
6.10 Projectile Motion
6.11 Example - Large Scale Weather Patterns
6.12 Aircraft Equations of Motion for 3-D Flight
Notes
Problems

7: Angular Momentum and Inertia Matrix
7.1 Definition of Angular Momentum
7.2 Moments and Products of Inertia
7.3 Examples
7.4 Principal Axes and Principal Moments of Inertia
7.5 Example
7.6 Rotational Mass Symmetry
7.7 Relation Between Angular Momenta
7.8 Parallel Axis Theorem
7.9 Radius of Gyration
7.10 Examples
Notes
Problems

8: Angular Momentum Equations
8.1 Angular Momentum Equation
8.2 Euler's Equations
8.3 Summary of Rigid Body Motion
8.4 Examples
8.5 Special Case of Planar Motion
8.6 Example
8.7 Equivalent Force Systems
Notes
Problems

9. Fixed Axis Rotation
9.1 Introductory Remarks
9.2 Off-Center Disk
9.3 Bent Disk
9.4 Static and Dynamic Balancing
9.5 General Case
Notes
Problems

10: Motion of a Rigid Body with One Point Fixed; Gyroscopic Motion
10.1 Instantaneous Axis of Zero Velocity
10.2 Euler's Angles
10.3 Transformations
10.4 Example - Thin Spherical Pendulum
10.5 Gyroscopic Motion
10.6 Steady Precession
10.7 Example
10.8 Steady Precession with Zero Moment 10.9 Steady Precession About an Axis Normal to the Spin Axis
10.10 Use of a Rotor to Stabilize a Car in Turns
10.11 Examples and Applications
Notes
Problems

11: Work and Energy
11.1 Introduction
11.2 Work
11.3 Forms of the Work Integral
11.4 Example - Constant Force
11.5 Power
11.6
Rezensionen
From the reviews of the first edition: "Ardema (Santa Clara Univ., California) is highly commended for the thorough, systematic, and concise approach in this book. He explains some of the very inextricable concepts clearly ... . The strength of the book lies in its coverage of a wide range of topics ... . Each chapter includes examples that are worked with sufficient detail, as well as plenty of challenging problems ... . This work is strongly recommended as a technical elective to undergraduates ... . Summing Up: Recommended. Upper-division undergraduates through professionals." (R.N. Laoulache, CHOICE, Vol. 42 (11), July, 2005) "The subject of this book is the dynamics of rigid bodies. ... The book has grown out of an undergraduate engineering course on dynamics taught at Santa Clara University, California. ... the wealth of examples makes the book a useful source for a large class of readers. ... I think that even people who teach mechanics at a more sophisticated level, i.e. mathematics or physics students, could profit from taking a look at the examples in this book." (Volker Perlick, Zentralblatt MATH, Vol. 1087, 2006)