Analytical System Dynamics

Modeling and Simulation

  • Brian Fabien

Table of contents

  1. Front Matter
    Pages 1-9
  2. Brian Fabien
    Pages 1-36
  3. Brian Fabien
    Pages 1-72
  4. Brian Fabien
    Pages 1-52
  5. Brian Fabien
    Pages 1-36
  6. Brian Fabien
    Pages 1-59
  7. Brian Fabien
    Pages 1-68
  8. Back Matter
    Pages 1-2

About this book


Analytical System Dynamics: Modeling and Simulation combines results from analytical mechanics and system dynamics to develop an approach to modeling constrained multidiscipline dynamic systems. This combination yields a modeling technique based on the energy method of Lagrange, which in turn, results in a set of differential-algebraic equations that are suitable for numerical integration. Using the modeling approach presented in this book enables one to model and simulate systems as diverse as a six-link, closed-loop mechanism or a transistor power amplifier.

Drawing upon years of practical experience and using numerous examples and applications Brian Fabien discusses:

Lagrange's equation of motion starting with the First Law of Thermodynamics, rather than the traditional Hamilton's principle

Treatment of the kinematic/structural analysis of machines and mechanisms, as well as the structural analysis of electrical/fluid/thermal networks

Various aspects of modeling and simulating dynamic systems using a Lagrangian approach with more than 125 worked examples
Simulation results for various models developed using MATLAB

Analytical System Dynamics: Modeling and Simulation will be of interest to students, researchers and practicing engineers who wish to use a multidisciplinary approach to dynamic systems incorporating material and examples from electrical systems, fluid systems and mixed technology systems that carries the derivation of differential equations to a final form that can be used for simulation.


Lagrange's equation of motion Simulation analytical mechanics kinematics mechanics modeling structural analysis system dynamics transistor power amplifier

Authors and affiliations

  • Brian Fabien
    • 1
  1. 1.Dept. Mechanical EngineeringUniversity of WashingtonSeattleU.S.A.

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media, LLC 2009
  • Publisher Name Springer, Boston, MA
  • eBook Packages Engineering
  • Print ISBN 978-0-387-85604-9
  • Online ISBN 978-0-387-85605-6
  • Buy this book on publisher's site