Presenting students with a comprehensive and efficient approach to the modelling, simulation, and analysis of dynamic systems, this textbook addresses mechanical, electrical, thermal and fluid systems, feedback control systems, and their combinations. It features a robust introduction to fundamental mathematical prerequisites, suitable for students from a range of backgrounds; clearly established three-key procedures – fundamental principles, basic elements, and ways of analysis – for students to build on in confidence as they explore new topics; over 300 end-of-chapter problems, with solutions available for instructors, to solidify a hands-on understanding; and clear and uncomplicated examples using MATLAB®/Simulink® and Mathematica®, to introduce students to computational approaches. With a capstone chapter focused on the application of these techniques to real-world engineering problems, this is an ideal resource for a single-semester course in dynamic systems for students in mechanical, aerospace and civil engineering.
Author(s): Bingen Yang, Inna Abramova
Edition: 1
Publisher: Cambridge University Press
Year: 2022
Language: English
Commentary: Publisher's PDF
Pages: 800
City: Cambridge, UK
Tags: Wolfram Mathematica; Fluid Dynamics; System Modeling; Control Theory; Electric Circuits; Feedback; Simulations; Dynamic Systems Mechanical Systems Thermal Systems
Cover
Half-title page
Title page
Copyright page
Contents
Preface
Acknowledgments
1 Introduction
1.1 General Concepts
1.2 Classification of Dynamic Systems
1.3 System Model Representations
1.4 Analogous Relations
1.5 Software for Computation
1.6 Units
2 Fundamentals of Mathematics
2.1 Vector Algebra
2.2 Matrix Algebra
2.3 Complex Numbers
2.4 The Laplace Transform
2.5 Differential Equations
2.6 Solution of Linear Ordinary Differential Equations with Constant Coefficients
2.7 Transfer Functions and Block Diagrams of Time-Invariant Systems
2.8 Solution of State Equations via Numerical Integration
Chapter Summary
References
Problems
3 Mechanical Systems
3.1 Fundamental Principles of Mechanical Systems
3.2 Translational Systems
3.3 Rotational Systems
3.4 Rigid-Body Systems in Plane Motion
3.5 Energy Approach
3.6 Block Diagrams of Mechanical Systems
3.7 State-Space Representations
3.8 Dynamic Responses via MATLAB
3.9 Dynamic Responses via Mathematica
Chapter Summary
References
Problems
4 Electrical Systems
4.1 Fundamentals of Electrical Systems
4.2 Concept of Impedance
4.3 Kirchhoff’s Laws
4.4 Passive-Circuit Analysis
4.5 State-Space Representations and Block Diagrams
4.6 Passive Filters
4.7 Active-Circuit Analysis
4.8 Dynamic Responses via Mathematica
Chapter Summary
References
Problems
5 Thermal and Fluid Systems
5.1 Fundamental Principles of Thermal Systems
5.2 Basic Thermal Elements
5.3 Dynamic Modeling of Thermal Systems
5.4 Fundamental Principles of Fluid Systems
5.5 Basic Elements of Liquid-Level Systems
5.6 Dynamic Modeling of Liquid-Level Systems
5.7 Fluid Inertance
5.8 The Bernoulli Equation
5.9 Pneumatic Systems
5.10 Dynamic Response via MATLAB and Simulink
Chapter Summary
References
Problems
6 Combined Systems and System Modeling Techniques
6.1 Introduction to System-Level Modeling
6.2 System Modeling Techniques
6.3 Fundamentals of Electromechanical Systems
6.4 Direct Current Motors
6.5 Block Diagrams in the Time Domain
6. 6 Modeling and Simulation by Simulink
6.7 Modeling and Simulation by Mathematica
Chapter Summary
References
Problems
7 System Response Analysis
7.1 System Response Analysis in the Time Domain
7.2 Stability Analysis
7.3 System Response Analysis in the Frequency Domain
7.4 Time Response of Linear Time-Varying and Nonlinear Systems
Chapter Summary
References
Problems
8 Introduction to Feedback Control Systems
8.1 General Concepts
8.2 Advantages of Closed-Loop Control Systems
8.3 PID Control Algorithm
8.4 Control System Analysis
8.5 The Root Locus Method
8.6 Analysis and Design by the Root Locus Method
8.7 Additional Examples of Control Systems
Chapter Summary
References
Problems
9 Application Problems
9.1 Vibration Analysis of a Car Moving on a Bumpy Road
9.2 Speed Control of a Coupled Engine–Propeller System
9.3 Modeling and Analysis of a Thermomechanical System (a Bimetallic Strip Thermometer)
9.4 Modeling and Analysis of an Electro-Thermo-Mechanical System (a Resistive-Heating Element)
9.5 Feedback Control of a Liquid-Level System for Water Purification
9.6 Sensors, Electroacoustic, and Piezoelectric Devices
References
Appendices
A Units and Conversion Table
B A Brief Introduction to MATLAB and Simulink
C A Brief Introduction to Wolfram Mathematica
Index
