Modeling and Simulation of Dynamic Systems

Robert L. Woods & Kent L. Lawrence

Prentice Hall, 1997

Synopsis

This text reflects current trends and state-of-the-art methods in modeling and simulation of dynamic systems. It provides comprehensive coverage of

(1) modeling techniques of the major types of engineering dynamic systems,

(2) solution methods for the resulting linear or nonlinear systems, and

(3) interpretation of simulated system frequency and time response behavior characteristics.

The text emphasizes dynamic system design and explains in detail how to select system component parameter values necessary to achieve static and dynamic performance design objectives. MATLAB is incorporated throughout in the solution of example problems.

Mechanical, electrical, fluid (hydraulic and pneumatic), and thermal systems are covered, and the similarity of the behavior of diverse physical systems is stressed.

The text is divided into four major sections.

Part 1 - Overview of Dynamic Systems

Part 2 - Modeling of Engineering Systems

Part 3 - System Dynamic Response Analysis

Part 4 - Engineering Applications

Following an overview of the fundamentals of dynamic systems and the systems approach, basic concepts in the modeling of mechanical, electrical, fluid, and thermal systems is presented. Each modeling chapter begins with a discussion of the basic components of a specific engineering discipline, discusses how to combine basic components into systems, and shows how to obtain the appropriate governing differential equation for a system.

Coverage includes both linear and nonlinear systems examples common in engineering applications and approaches most nonlinear problems by working with the nonlinearity rather than by linearizing it.

Techniques presented for the solution of differential equations include:

Classical methods (for low-ordered linear systems),

Laplace transform techniques (for high-ordered linear systems),

Numerical integration using digital computation (for linear and nonlinear systems of arbitrary order).

The importance of matching the system mathematical model to the solution technique is stressed. Classical methods are recommended for low-ordered linear systems that are to be solved using analytical differential equation methods or transfer function techniques, while state-space formulations are used to facilitate digital simulation procedures.

The text presents both frequency-domain and time-domain analysis techniques and explains conversion of a classical differential equation into the state-space form and conversion of the state-space form into the classical transfer function format. Classical equation, transfer function, and state space differential equation formulations are used throughout the text.

Discussion focuses throughout on the careful analysis of units for the coefficients in the differential equations as well as the compatibility of equations in terms of units. Both SI and English units are employed in examples and problems, and Appendix A presents conversions between the two systems.

Emphasis is placed on engineering system analysis and design in examples and problems. An entire chapter is devoted to dynamic system design in which development of the mathematical model is followed by a discussion of how to select each model parameter based upon specified system performance goals.

An abundance of examples, practice problems, and references are included, and many of the problems are solved using the student edition of MATLAB. As an aid to the first-time user, Appendix H provides instruction on the use of MATLAB for the solution of typical dynamic simulation problems.