شبیه سازی ارتعاشات با استفاده از نرم افزارهای MATLAB & ANSYS، یکی از آموزشهای کاربردی و مفید در آموزش شبیه سازی ارتعاشات با استفاده از دو نرم افزار معروف متلب و انسیس می باشد. این آموزش مشتمل بر 19 فصل، 670 صفحه، به زبان انگلیسی روان، تایپ شده، به همراه تصاویر، با فرمت PDF، به ترتیب زیر گردآوری شده است:
Chapter 1: INTRODUCTION
- Representing Dynamic Mechanical Systems
- Modal Analysis
- Model Size Reduction
Chapter 2: TRANSFER FUNCTION ANALYSIS
- Introduction
- Deriving Matrix Equations of Motion
- Single Degree of Freedom (sdof) System Transfer Function and Frequency Response
- tdof Laplace Transform, Transfer Functions, Characteristic Equation, Poles, Zeros
- MATLAB Code tdofpz3x3.m - Plot Poles and Zeros
Chapter 3: FREQUENCY RESPONSE ANALYSIS
- Introduction
- Low and High Frequency Asymptotic Behavior
- Hand Sketching Frequency Responses
- Interpreting Frequency Response Graphically in Complex Plane
- MATLAB Code td0fxfer.m - Plot Frequency Responses
- Other Forms of Frequency Response Plots
- Solving for Eigenvectors (Mode Shapes) Using the Transfer Function Matrix
Chapter 4: ZEROS IN SISO MECHANICAL SYSTEMS
- Introduction
- "n" dof Example
- Cantilever Model - ANSYS
Chapter 5: STATE SPACE ANALYSIS
- Introduction
- State Space Formulation
- Definition of State Space Equations of Motion
- Input Matrix Forms
- Output Matrix Forms
- Complex Eigenvalues and Eigenvectors - State Space Form
- MATLAB Code tdof-nonqrop-damped.m: Methodology, Model Setup, Eigenvalue Calculation Listing
- Eigenvectors - Normalized to Unity
- Eigenvectors - Magnitude and Phase Angle Representation
- Complex Eigenvectors Combining to Give Real Motions
- Argand Diagram Introduction
- Calculating J , Plotting Eigenvalues in Complex Plane, Frequency Response
- Initial Condition Responses of Individual Modes
- Plotting Initial Condition Response, Listing
- Plotted Results: Argand and Initial Condition Responses
Chapter 6: STATE SPACE: FREQUENCY RESPONSE, TIME DOMAIN
- Introduction - Frequency Response
- Solving for Transfer Functions in State Space Form Using
Laplace Transforms - Transfer Function Matrix
- MATLAB Code td0fss.m -Frequency Response Using State Space
- Introduction - Time Domain
- Matrix Laplace Transform - with Initial Conditions
- Inverse Matrix Laplace Transform, Matrix Exponential
- Back-Transforming to Time Domain
- Single Degree of Freedom System - Calculating Matrix
- MATLAB Code tdof-ss-time-ode45-s1nk.m - Time Domain Response of tdof Model
Chapter 7: MODAL ANALYSIS
- Introduction
- Eigenvalue Problem
- Uncoupling the Equations of Motion
- Normalizing Eigenvectors
- Reviewing Equations of Motion in Principal Coordinates - Mass Normalization
- Transforming Initial Conditions and Forces
- Summarizing Equations of Motion in Both Coordinate Systems
- Back-Transforming from Principal to Physical Coordinates
- Reducing the Model Size When Only Selected Degrees of Freedom are Required
- Damping in Systems with Principal Modes
Chapter 8: FREQUENCY RESPONSE: MODAL FORM
Chapter 9: TRANSIENT RESPONSE: MODAL FORM
Chapter 10: MODAL ANALYSIS: STATE SPACE FORM
Chapter 11: FREQUENCY RESPONSE: MODAL STATE SPACE FORM
Chapter 12: TIME DOMAIN: MODAL STATE SPACE FORM
Chapter 13: FINITE ELEMENTS: STIFFNESS MATRICES
Chapter 14: FINITE ELEMENTS: DYNAMICS
Chapter 15: SISO STATE SPACE MATLAB MODEL FROM ANSYS MODEL
Chapter 16: GROUND ACCELERATION MATLAB MODEL FROM ANSYS MODE
Chapter 17: SISO DISK DRIVE ACTUATOR MODEL
Chapter 18: BALANCED REDUCTION
Chapter 19: MIMO TWO-STAGE ACTUATOR MODEL
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