Engineering Applications of Dynamics

Chapter 1: Newton's Laws for Particles and Rigid bodies.

1.1 Newton's 2nd Law.

1.2 Coordinate Frames, Velocity and Acceleration Diagrams.

1.3 Free Body diagrams and Force Diagrams.

1.4 Transferring Velocity and Acceleration Components.

1.5 Transferring Motion Components of Rigid Bodies and Generating Kinematic Constraints.

1.6 Review of Center of Mass, Linear Momentum, and Angular Momentum for Rigid Bodies.

1.7 Newton's law Applied to Rigid Bodies .

1.8 References.

Chapter 2: Equations of Motion in Second and First Order Form.

2.1 Deriving Equations of Motion for Systems of Particles.

2.2 Deriving Equations of Motion When Rigid Bodies are Part of the System.

2.3 Forms of Equations and their Computational Solution.

2.4 Reducing Sets of Second Order Differential Equations to First Order Form.

2.5 Matrix Forms for Linearized Equations.

2.6 Summary.

2.7 References.

Chapter 3: Computer Solution of Equations of Motion.

3.1 Time Step Simulation of Nonlinear Equations of Motion.

3.2 Linear System Response.

3.3 References.

Chapter 4: Energy and Lagrange Equation Methods.

4.1 Kinetic and Potential Energy.

4.2 Using Conservation of Energy to Derive Equations of Motion.

4.3 Equations of Motion from Lagrange's Equations.

4.4 Interpretation of Lagrange's Equations.

4.5 Nonlinear Kinematics and Lagrange's Equations.

4.6 First Order Forms for Lagrange's Equations.

Chapter 5: Newton's Laws in a Body-Fixed Frame: Application to Vehicle Dynamics.

5.1 The Dynamics of a Shopping Cart.

5.2 Analysis of a Simple Car Model.

5.3 Vehicle Stability.

5.4 Stability, Critical Speed, Understeer and Oversteer.

5.5 Steering Transfer Functions.

5.6 Steady Cornering.

5.7 Summary.

5.8 References.

Chapter 6: Mechanical systems under Active Control.

6.1 Basic Concepts.

6.2 State Variables and Active Control.

6.3 Steering Control of Banking Vehicles.

6.4 Active Control of Vehicle Dynamics.

6.5 Summary.

6.6 References.

Chapter 7: Rigid Body Motion in Three Dimensions.

7.1 The General Equations of Motion.

7.2 Use of a Body-Fixed Coordinate Frame.

7.3 Use of an Inertial Coordinate Frame.

7.4 Summary.

7.5 References.

Chapter 8: Vibration of Multiple Degree-Of-Freedom Systems.

8.1 Natural Frequency and Resonance of a One D-O-F Oscillator.

8.2 Two Degree-of-Freedom Systems.

8.3 Tuned Vibration Absorbers.

8.4 Summary.

8.5 References.

Chapter 9: Distributed System Vibrations.

9.1 Stress Waves in a Rod.

9.2 Attaching the Distributed System to External Dynamic Components.

9.3 Tightly Stretched Cable.

9.4 Bernoulli-Euler Beam.

9.5 Summary.

9.6 References.

Appendix 1: Three-Dimensional Rigid Body in a Rotating Coordinate System.

Appendix 2: Moments of Inertia for Some Common Body Shapes.

Appendix 3: The Parallel Axis Theorem.

Index.