شبیه سازی ارتعاشات با MATLAB و ANSYS

شبیه سازی ارتعاشات با MATLAB & ANSYS یکی از آموزش های کاربردی و مفید در زمینه 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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