Engineering Applications of Dynamics

- Preface

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

Dean C. Karnopp and Donald L. Margolis are professors of mechanical engineering at the University of California, Davis.