Using MATLAB(R) and Simulink(R) to perform symbolic, graphical, numerical, and simulation tasks, Modeling and Analysis of Dynamic Systems provides a thorough understanding of the mathematical modeling and analysis of dynamic systems. It meticulously covers techniques for modeling dynamic systems, methods of response analysis, and vibration and control systems. After introducing the software and essential mathematical background, the text discusses linearization and different forms of system model representation, such as state-space form and input-output equation. It then explores translational, rotational, mixed mechanical, electrical, electromechanical, pneumatic, liquid-level, and thermal systems. The authors also analyze the time and frequency domains of dynamic systems and describe free and forced vibrations of single and multiple degree-of-freedom systems, vibration suppression, modal analysis, and vibration testing. The final chapter examines aspects of control system analysis, including stability analysis, types of control, root locus analysis, Bode plot, and full-state feedback. With much of the material rigorously classroom tested, this textbook enables undergraduate students to acquire a solid comprehension of the subject. It provides at least one example of each topic, along with multiple worked-out examples for more complex topics. The text also includes many exercises in each chapter to help students learn firsthand how a combination of ideas can be used to analyze a problem.

Table of Contents

Introduction to MATLAB and Simulink MATLAB Command Window and Command Prompt User-Defined Functions Defining and Evaluating Functions Iterative Calculations Matrices and Vectors Differentiation and Integration Plotting in MATLAB Simulink Complex Analysis, Differential Equations and Laplace Transformation Complex Analysis Differential Equations Laplace Transformation Matrix Analysis Matrices Matrix Eigenvalue Problem System Model Representation Configuration Form State-Space Form Input-Output Equation, Transfer Function Relations between State-Space Form, Input-Output Equation, and Transfer Function Block Diagram Representation Linearization Mechanical Systems Mechanical Elements Translational Systems Rotational Systems Mixed Systems: Translational and Rotational Gear-Train Systems Electrical, Electronic, and Electromechanical Systems Electrical Elements Electric Circuits Operational Amplifiers Electromechanical Systems Impedance Methods Fluid and Thermal Systems Pneumatic Systems Liquid-Level Systems Thermal Systems System Response Transient Response of First-Order Systems Transient Response of Second-Order Systems Frequency Response Solving the State Equation Response of Nonlinear Systems Introduction to Vibrations Free Vibration Forced Vibration Vibration Suppressions Modal Analysis Vibration Measurement and Analysis Introduction to Feedback Control Systems Basic Concepts and Terminologies Stability and Performance Benefits of Feedback Control Proportional-Integral-Derivative Control Root Locus Bode Plot Full-State Feedback Appendix A Appendix B Index A Summary appears at the end of each chapter.

Author Biography

Ramin Esfandiari is a professor of mechanical and aerospace engineering at California State University, Long Beach. Bei Lu is an assistant professor of mechanical and aerospace engineering at California State University, Long Beach.