Newton-Euler Dynamics

Newton-Euler Dynamics

von: Mark D. Ardema

160,49 €

Verlag: Springer
Format: PDF
Veröffentl.: 28.10.2006
ISBN/EAN: 9780387232768
Sprache: englisch
Anzahl Seiten: 316

Dieses eBook enthält ein Wasserzeichen.


<P>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.</P>
<P>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.</P>
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

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
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
5.10 Gravitation
5.11 Degrees of Freedom and Holonomic Constraints
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

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

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

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

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

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
<p>Most of the books just listed are for an elective course in "Intermediate dynamics" covering advanced Newtonian and introductory Langrangian methods</p><p>Includes supplementary material:</p>

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