Analytical System Dynamics

This book offering a modeling technique based on Lagrange's energy method includes 125 worked examples. Using this technique enables one to model and simulate systems as diverse as a six-link, closed-loop mechanism or a transistor power amplifier.

"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.

Develops Lagrange's equation of motion starting from the First Law of Thermodynamics, instead of using the traditional Hamilton's principle Extensive treatment of the kinematic/structural analysis of machines and mechanisms, as well as the structural analysis of electrical/fluid/thermal networks More than 125 worked examples that illustrate various aspects of modeling and simulating dynamic systems using a Lagrangian approach Simulation results for various models developed using MATLAB

Klappentext
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.

Inhalt
A Unified System Representation.- Kinematics.- Lagrange's Equation of Motion.- Constrained Systems.- Numerical Solution of ODEs and DAEs.- Dynamic System Analysis and Simulation.