Modeling and Analysis of Dynamic Systems, Second Edition

Book Preface

The principal goal of this edition essentially is the same as that of the first edition, that is, to provide the reader with a thorough knowledge of mathematical modeling and analysis of dynamic systems. MATLAB®, Simulink®, and Simscape™ are introduced at the outset and are utilized throughout the book to perform symbolic, graphical, numerical, and simulation tasks. The textbook, written at the junior level, meticulously covers techniques for modeling dynamic systems, methods of response analysis, and an introduction to vibration and control systems.

The book comprises 10 chapters and two appendices. Chapter 1 methodically introduces MATLAB, Simulink, and Simscape to the reader. The essential mathematical background is covered in Chapter 2 (complex analysis, differential equations, and Laplace transformation) and Chapter 3 (matrix analysis). Different forms of system model representation (state-space form, transfer function, input–output equation, block diagram, etc.), as well as linearization, are discussed in Chapter 4.

Each topic is also handled using MATLAB. Block diagrams are constructed and analyzed by using Simulink.

Chapter 5 treats translational, rotational, and mixed mechanical systems. The free-body diagram approach is greatly emphasized in the derivation of the systems’ equations of motion. Electrical and electromechanical systems are covered in Chapter 6. Also included are operational amplifiers and impedance methods. Chapter 7 discusses pneumatic, liquid-level, and thermal systems. Modeling and analysis of dynamic systems ranging from mechanical to thermal using Simulink and Simscape are fully integrated in Chapters 5 through 7.

Chapter 8 deals with time-domain and frequency-domain analysis of dynamic systems. Timedomain analysis entails transient response of first-, second-, and higher-order systems. The sinusoidal transfer function (frequency response function) is introduced and utilized in obtaining the system’s frequency response, as well as the Bode diagram. Analytical solution of the state equation is also included in this chapter. MATLAB and Simulink play significant roles in determining and simulating system response, and are used throughout the chapter.

Chapter 9 presents an introduction to vibrations and includes free and forced vibrations of single and multiple-degrees-of-freedom systems, vibration suppression including vibration isolators and absorbers, modal analysis, and vibration testing. Also included are some applications of vibrations: logarithmic decrement for experimental determination of the damping ratio, rotating unbalance, and harmonic base excitation.

Chapter 10 gives an introduction to control systems analysis and design in the time and frequency domains. Basic concepts and terminology are presented first, followed by stability analysis, types of control, root-locus analysis, Bode plot, and full-state feedback. All these analytical techniques are implemented using MATLAB, Simulink, and Simscape.