System Dynamics for Engineering Students book cover

System Dynamics for Engineering Students

Concepts and Applications

System Dynamics for Engineering Students: Concepts and Applications discusses the basic concepts of engineering system dynamics. Engineering system dynamics focus on deriving mathematical models based on simplified physical representations of actual systems, such as mechanical, electrical, fluid, or thermal, and on solving the mathematical models. The resulting solution is utilized in design or analysis before producing and testing the actual system. The book discusses the main aspects of a system dynamics course for engineering students; mechanical, electrical, and fluid and thermal system modeling; the Laplace transform technique; and the transfer function approach. It also covers the state space modeling and solution approach; modeling system dynamics in the frequency domain using the sinusoidal (harmonic) transfer function; and coupled-field dynamic systems. The book is designed to be a one-semester system-dynamics text for upper-level undergraduate students with an emphasis on mechanical, aerospace, or electrical engineering. It is also useful for understanding the design and development of micro- and macro-scale structures, electric and fluidic systems with an introduction to transduction, and numerous simulations using MATLAB and SIMULINK.

Junior and senior undergraduate students in mechanical, electrical and aerospace engineering programs

Hardbound, 532 Pages

Published: March 2010

Imprint: Academic Press

ISBN: 978-0-240-81128-4


  • "This is without doubt a text that can be used with relative ease by instructors and students alike, and that would likely serve as a useful and practical reference for many years after graduation, especially given its systematic approach to the essential physical modeling elements. The content is nicely laid out with good quality illustrations and clean lines and achieves an appropriate balance between theoretical derivations and examples."--Journal of Mechanical Engineering Science


  • Foreword


    Resources That Accompany This Book

    Chapter Introduction

    1.1 Engineering System Dynamics

    1.2 Modeling Engineering System Dynamics

    1.2.1 Modeling Variants

    1.2.2 Dynamical Systems Lumped-Parameter Modeling and Solution

    1.3 Components, System, Input, and Output

    1.4 Compliant Mechanisms and Microelectromechanical Systems

    1.5 System Order

    1.5.1 Zero-Order Systems

    1.5.2 First-Order Systems

    1.5.3 Second- and Higher-Order Systems

    1.6 Coupled-Field (Multiple-Field) Systems

    1.7 Linear and Nonlinear Dynamic Systems

    Chapter 2 Mechanical Systems I



    2.1 Basic Mechanical Elements: Inertia, Stiffness, Damping, and Forcing

    2.1.1 Inertia Elements

    2.1.2 Spring Elements

    2.1.3 Damping Elements

    2.1.4 Actuation (Forcing)

    2.2 Basic Mechanical Systems

    2.2.1 Newton’s Second Law of Motion Applied to Mechanical Systems Modeling

    2.2.2 Free Response

    2.2.3 Forced Response with Simulink®



    Suggested Reading

    Chapter 3 Mechanical Systems II



    3.1 Lumped Inertia and Stiffness of Compliant Elements

    3.1.1 Inertia Elements

    3.1.2 Spring Elements

    3.2 Natural Response of Compliant Single Degree-of-Freedom Mechanical Systems

    3.3 Multiple Degree-of-Freedom Mechanical Systems

    3.3.1 Configuration, Degrees of Freedom

    3.3.2 Conservative Mechanical Systems

    3.3.3 Forced Response with Simulink®



    Suggested Reading

    Chapter 4 Electrical Systems



    4.1 Electrical Elements: Voltage and Current Sources, Resistor, Capacitor, Inductor, Operational Amplifier

    4.1.1 Voltage and Current Source Elements

    4.1.2 Resistor Elements

    4.1.3 Capacitor Elements

    4.1.4 Inductor Elements

    4.1.5 Operational Amplifiers

    4.2 Electrical Circuits and Networks

    4.2.1 Kirchhoff’s Laws

    4.2.2 Configuration, Degrees of Freedom

    4.2.3 Methods for Electrical Systems Modeling

    4.2.4 Free Response

    4.2.5 Operational Amplifier Circuits

    4.2.6 Forced Response with Simulink®



    Suggested Reading

    Chapter 5 Fluid and Thermal Systems



    5.1 Liquid Systems Modeling

    5.1.1 Bernoulli’s Law and the Law of Mass Conservation

    5.1.2 Liquid Elements

    5.1.3 Liquid Systems

    5.2 Pneumatic Systems Modeling

    5.2.1 Gas Laws

    5.2.2 Pneumatic Elements

    5.2.3 Pneumatic Systems

    5.3 Thermal Systems Modeling

    5.3.1 Thermal Elements

    5.3.2 Thermal Systems

    5.4 Forced Response with Simulink®



    Suggested Reading

    Chapter 6 The Laplace Transform



    6.1 Direct Laplace and Inverse Laplace Transformations

    6.1.1 Direct Laplace Transform and Laplace Transform Pairs

    6.1.2 Properties of the Laplace Transform

    6.2 Solving Differential Equations by the Direct and Inverse Laplace Transforms

    6.2.1 Analytical and MATLAB® Partial-Fraction Expansion

    6.2.2 Linear Differential Equations with Constant Coefficients

    6.2.3 Use of MATLAB® to Calculate Direct and Inverse Laplace Transforms

    6.2.4 Linear Differential Equation Systems with Constant Coefficients

    6.2.5 Laplace Transformation of Vector-Matrix Differential Equations

    6.2.6 Solving Integral and Integral-Differential Equations by the Convolution Theorem

    6.2.7 Linear Differential Equations with Time-Dependent Coefficients

    6.3 Time-Domain System Identification from Laplace-Domain Information



    Suggested Reading

    Chapter 7 Transfer Function Approach



    7.1 The Transfer Function Concept

    7.2 Transfer Function Model Formulation

    7.2.1 Analytical Approach

    7.2.2 MATLAB® Approach

    7.3 Transfer Function and the Time Response

    7.3.1 SISO Systems

    7.3.2 MIMO Systems

    7.4 Using Simulink® to Transfer Function Modeling



    Suggested Reading

    Chapter 8 State Space Approach



    8.1 The Concept and Model of the State Space Approach

    8.2 State Space Model Formulation

    8.2.1 Analytical Approach

    8.2.2 MATLAB® Approach

    8.3 State Space and the Time-Domain Response

    8.3.1 Analytical Approach: The State-Transition Matrix Method

    8.3.2 MATLAB® Approach

    8.4 Using Simulink® for State Space Modeling



    Suggested Reading

    Chapter 9 Frequency-Domain Approach



    9.1 The Concept of Complex Transfer Function in Steady-State Response and Frequency-Domain Analysis

    9.2 Calculation of Natural Frequencies for Conservative Dynamic Systems

    9.2.1 Analytical Approach

    9.2.2 MATLAB® Approach

    9.3 Steady-State Response of Dynamic Systems to Harmonic Input

    9.3.1 Analytical Approach

    9.3.2 Using MATLAB® for Frequency Response Analysis

    9.4 Frequency-Domain Applications

    9.4.1 Transmissibility in Mechanical Systems

    9.4.2 Cascading Nonloading Systems

    9.4.3 Filters



    Suggested Reading

    Chapter 10 Coupled-Field Systems



    10.1 Concept of System Coupling

    10.2 System Analogies

    10.2.1 First-Order Systems

    10.2.2 Second-Order Systems

    10.3 Electromechanical Coupling

    10.3.1 Mechanical Strain, Electrical Voltage Coupling

    10.3.2 Electromagnetomechanical Coupling

    10.3.3 Electromagnetomechanical Coupling with Optical Detection in MEMS

    10.3.4 Piezoelectric Coupling

    10.4 Thermomechanical Coupling: The Bimetallic Strip

    10.5 Nonlinear Electrothermomechanical Coupled-Field Systems

    10.6 Simulink® Modeling of Nonlinear Coupled-Field Systems



    Suggested Reading

    Chapter 11 Introduction to Modeling and Design of Feedback Control

    Appendix A Solution to Linear Ordinary Homogeneous Differential Equations with Constant Coefficients

    Appendix B Review of Matrix Algebra

    Appendix C Essentials of MATLAB® and System Dynamics-Related Toolboxes

    Appendix D Deformations, Strains, and Stresses of Flexible Mechanical Components



advert image