Dynamics for Engineers

Preface.

1 Introduction to System Elements.
1.1 Introduction.
1.2 Chapter summary.

2 The Newtonian Method.
2.1 The Configuration Space.
2.2 Constraints.
2.3 Differential Equations from Newtons Laws.
2.4 Practical Difficulties with the Newtonian Formalism.
2.5 Chapter Summary.

3 Differential Equations by Kirchoff's Laws.
3.1 Kirchoff's Laws about Current and Voltage.
3.2 The Mesh Current and Node Voltage Methods.
3.3 Using Graph Theory to Obtain the Minimal Set of Equations.
3.4 Chapter Summary.

4 The Lagrangian Formalism.
4.1 Elements of the Lagrangian Approach.
4.2 Obtaining Dynamical Equations by Lagrangian Method.
4.3 The Principle of Least Action.
4.4 Lagrangian Method Applied to Electrical Circuits.
4.5 Systems with External Forces or Electromotive Forces.
4.6 Systems with Resistance or Friction.
4.7 Accounting for Current Sources.
4.8 Modeling Mutual Inductances.
4.9 A General Methodology for Electrical Networks.
4.10 Modeling Coulomb Friction.
4.11 Chapter Summary.

5 Obtaining First Order Equations.
5.1 First Order Equations from the Lagrangian Method.
5.2 The Hamiltonian Formalism.
5.3 Chapter Summary.

6 The Language of Bond Graphs.
6.1 Introduction.
6.2 The Basic Concept.
6.3 One-port Elements.
6.4 The Junctions.
6.5 Junctions in Mechanical Systems.
6.6 Numbering of Bonds.
6.7 Reference Power Directions.
6.8 Two-port Elements.
6.9 The Concept of Causality.
6.10 Differential Causality.
6.11 Obtaining Differential Equations from Bond Graphs.
6.12 Alternative Methods of Creating System Bond Graphs.
6.13 Algebraic Loops.
6.14 Fields.
6.15 Activation.
6.16 Equations for Systems with Differential Causality.
6.17 Bond Graph Software.
6.18 Chapter Summary.

7 Numerical Solution of Differential Equations.
7.1 The Basic Method, and the Techniques of Approximation.
7.2 Methods to Balance Accuracy and Computation Time.
7.3 Chapter Summary.

8 Dynamics in the State Space.
8.1 The State Space.
8.2

Soumitro Banerjee has been at the Indian Institute of Technology, in the Department of Electrical Engineering since 1985. He currently teaches courses on 'Dynamics of Physical Systems', 'Signals and Networks', 'Energy Resources and Technology', 'Fractals, Chaos and Dynamical Systems' and 'Nonconventional Electrical Power Generation'. His research interests include bifurcation theory and chaos, and he has written and co-written over 43 papers on these subjects.