کتاب مدلسازی و تحلیل سیستم های دینامیکی(Modeling and Analysis of Dynamic Systems)، مشتمل بر 10 فصل، 558 صفحه، به زبان انگلیسی، همراه با تصاویر، فرمول ها و جداول مهم، با فرمت pdf، به ترتیب زیر گردآوری شده است:

Chapter 1: Introduction to MATLAB, Simulink, and Simscape

• MATLAB Command Window and Command Prompt
• User Defined Functions and Script Files
• Creating a Script File
• Defining and Evaluating Functions
• Iterative Calculations
• Matrices and Vectors
• Differentiation and Integration
• Plotting in MATLAB
• Plotting Data Points
• Plotting Analytical Expressions
• Simulink
• Block Library
• Building a New Model
• Simulation
• Simscape
• Block Library
• Building a New Model and Simulation
• Simulation

Chapter 2: Complex Analysis, Differential Equations, and Laplace Transformation

• Complex Analysis
• Complex Numbers in Rectangular Form
• Magnitude
• Complex Conjugate
• Complex Numbers in Polar Form
• Complex Algebra Using the Polar Form
• Integer Powers of Complex Numbers
• Roots of Complex Numbers
• Complex Variables and Functions
• Differential Equations
• Linear, First-Order Differential Equations
• Second-Order Differential Equations with Constant Coefficients
• Homogeneous Solution
• Particular Solution
• Laplace Transformation
• Linearity of Laplace and Inverse Laplace Transforms
• Differentiation and Integration of Laplace Transforms
• Differentiation of Laplace Transforms
• Integration of Laplace Transforms
• Special Functions
• Unit-Step Function
• Unit-Ramp Function
• Unit-Pulse Function
• Unit-Impulse (Dirac Delta) Function
• The Relation between Unit-Impulse and Unit-Step
• Functions
• Periodic Functions
• Laplace Transforms of Derivatives and Integrals
• Laplace Transforms of Derivatives
• Laplace Transforms of Integrals
• Inverse Laplace Transformation
• Partial-Fraction Expansion Method
• Performing Partial Fractions in MATLAB
• Convolution Method
• Final-Value Theorem and Initial-Value Theorem
• Final-Value Theorem
• Initial-Value Theorem
• Summary

Chapter 3: Matrix Analysis

• Vectors and Matrices
• Special Matrices
• Elementary Row Operations
• Rank of a Matrix
• Determinant of a Matrix
• Properties of Determinant
• Rank in Terms of Determinant
• Block Diagonal and Block Triangular Matrices
• Inverse of a Matrix
• Adjoint Matrix
• Solution of Linear Systems of Equations
• Gauss Elimination Method
• Using the Inverse of the Coefficient Matrix
• Cramer’s Rule
• Homogeneous Systems
• Matrix Eigenvalue Problem
• Solving the Eigenvalue Problem
• Algebraic Multiplicity and Geometric Multiplicity
• Generalized Eigenvectors
• Similarity Transformations
• Matrix Diagonalization
• Defective Matrices
• Summary

Chapter 4: System Model Representation

• Configuration Form
• Second-Order Matrix Form
• State-Space Form
• State Variables, State-Variable Equations, State Equation
• State-Variable Equations
• State Equation
• Output Equation, State-Space Form
• Output Equation
• State-Space Form
• Decoupling the State Equation
• Input–Output Equation, Transfer Function
• Input–Output Equations from the System Model
• Transfer Functions from the System Model
• Relations between State-Space Form, Input–Output Equation and Transfer Matrix
• Input–Output Equation to State-Space Form
• Controller Canonical Form
• State-Space Form to Transfer Matrix
• Block Diagram Representation
• Block Diagram Operations
• Summing Junction
• Series Combinations of Blocks
• Parallel Combinations of Blocks
• Integration
• Closed-Loop Systems
• Block Diagram Reduction Techniques
• Moving a Branch Point
• Moving a Summing Junction
• Mason’s Rule
• Block Diagram Construction from System Model
• Linearization
• Linearization of a Nonlinear Element
• Functions of Two Variables
• Linearization of a Nonlinear Model
• Operating Point
• Linearization Procedure
• Small-Angle Linearization
• Linearization with MATLAB Simulink
• Summary

Chapter 5: Mechanical Systems

• Mechanical Elements
• Mass Elements
• Spring Elements
• Damper Elements
• Equivalence
• Translational Systems
• Degrees of Freedom
• Newton’s Second Law
• Free-Body Diagrams
• Static Equilibrium Position and Coordinate Reference
• Massless Junctions
• D’Alembert’s Principle
• Rotational Systems
• General Moment Equation
• Modeling of Rigid Bodies in Plane Motion
• Mass Moment of Inertia
• Pure Rolling Motion
• Mixed Systems: Translational and Rotational
• Force and Moment Equations
• Energy Method
• Gear–Train Systems
• System Modeling with Simulink and Simscape
• Translational Systems
• Rotational Systems
• Summary

Chapter 6: Electrical, Electronic, and Electromechanical Systems

• Electrical Elements
• Resistors
• Inductors
• Capacitors
• Electric Circuits
• Kirchhoff’s Voltage Law
• Kirchhoff’s Current Law
• Node Method
• Loop Method
• State Variables of Circuits
• Operational Amplifiers
• Electromechanical Systems
• Elemental Relations of Electromechanical Systems
• Armature-Controlled Motors
• Field-Controlled Motors
• Impedance Methods
• Impedances of Electric Elements
• Series and Parallel Impedances
• Mechanical Impedances
• System Modeling with Simulink and Simscape
• Electric Circuits
• Operational Amplifiers
• DC Motors
• Summary

Chapter 7: Fluid and Thermal Systems

• Pneumatic Systems
• Ideal Gases
• Pneumatic Capacitance
• Modeling of Pneumatic Systems
• Liquid-Level Systems
• Hydraulic Capacitance
• Hydraulic Resistance
• Modeling of Liquid-Level Systems
• Thermal Systems
• First Law of Thermodynamics
• Thermal Capacitance
• Thermal Resistance
• Modeling of Heat Transfer Systems
• System Modeling with Simulink and Simscape
• Summary

Chapter 8: System Response

• Types of Response
• Transient Response and Steady-State Response
• Transient Response of First-Order Systems
• Free Response of First-Order Systems
• Impulse Response of First-Order Systems
• Step Response of First-Order Systems
• Ramp Response of First-Order Systems
• Transient Response of Second-Order Systems
• Free Response of Second-Order Systems
• Initial Response in MATLAB
• Impulse Response of Second-Order Systems
• Impulse Response in MATLAB
• Step Response of Second-Order Systems
• Step Response in MATLAB
• Response Analysis Using MATLAB Simulink
• Frequency Response
• Frequency Response of Stable, Linear Systems
• Frequency Response of First-Order Systems
• Frequency Response of Second-Order Systems
• Bode Diagram
• Plotting Bode Diagrams in MATLAB
• Bode Diagram of First-Order Systems
• Bode Diagram of Second-Order Systems
• Solving the State Equation
• Formal Solution of the State Equation
• Matrix Exponential
• Formal Solution in MATLAB
• Solution of the State Equation via Laplace Transformation
• Solution of the State Equation via State-Transition Matrix
• Response of Nonlinear Systems
• Numerical Solution of the State-Variable Equations
• Fourth-Order Runge–Kutta Method
• Response via MATLAB Simulink
• Response of the Linearized Model
• Summary

Chapter 9: Introduction to Vibrations

• Free Vibration
• Logarithmic Decrement
• Coulomb Damping
• Forced Vibration
• Half-Power Bandwidth
• Rotating Unbalance
• Harmonic Base Excitation
• Vibration Suppressions
• Vibration Isolators
• Vibration Absorbers
• Modal Analysis
• Eigenvalue Problem
• Orthogonality of Modes
• Response to Initial Excitations
• Response to Harmonic Excitations
• Vibration Measurement and Analysis
• Vibration Measurement
• System Identification
• Summary

Chapter 10: Introduction to Feedback Control Systems

• Basic Concepts and Terminologies
• Stability and Performance
• Stability of Linear Time-Invariant Systems
• Time-Domain Performance Specifications
• Frequency-Domain Performance Specifications
• Benefits of Feedback Control
• Stabilization
• Disturbance Rejection
• Reference Tracking
• Sensitivity to Parameter Variations
• Proportional–Integral–Derivative Control
• Proportional Control
• Proportional–Integral Control
• PID Control
• Ziegler–Nichols Tuning of PID Controllers
• Root Locus
• Root Locus of a Basic Feedback System
• Analysis Using Root Locus
• Control Design Using Root Locus
• Bode Plot
• Bode Plot of a Basic Feedback System
• Analysis Using Bode Plot
• Control Design Using Bode Plot
• Full-State Feedback
• Analysis of State-Space Equations
• Control Design for Full-State Feedback
• Integration of Simulink and Simscape into Control Design
• Control System Simulation Using Simulink
• Integration of Simscape into Control System Simulation

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کتاب مدلسازی و تحلیل سیستم های دینامیکی