## Beschreibung

### Beschreibung

Unlike other books on this subject, which tend to concentrate on 2-D dynamics, this text focuses on the application of Newton-Euler methods to complex, real-life 3-D dynamics problems. It is thus ideal for elective courses in intermediate dynamics.### Inhaltsverzeichnis

Preface1: 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 Velocity and 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

### Pressestimmen

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)

EAN: 9780387232751

ISBN: 0387232753

Untertitel: 2005. Auflage.
Book.
Sprache: Englisch.

Verlag: Springer

Erscheinungsdatum: November 2004

Seitenanzahl: 336 Seiten

Format: gebunden

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