Newton-Euler Dynamics (eBook)

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 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