Course Outline
Module 1: Introduction to Vibration Analysis
•    Fundamentals of vibration and its significance in engineering
•    Types of vibrations: Free, forced, damped, and undamped vibrations
•    Introduction to MATLAB: Interface and basic functions for vibration analysis
•    Hands-on exercise: Basic vibration analysis in MATLAB
•    Case Study: Vibration analysis in rotating machinery

Module 2: Signal Processing for Vibration Analysis
•    Introduction to signal processing techniques for vibration data
•    Fourier analysis, filtering, and noise reduction
•    MATLAB tools for signal processing and spectral analysis
•    Hands-on exercise: Signal processing of vibration data in MATLAB
•    Real-Life Project: Analysis of vibration signals from an industrial pump

Module 3: Modeling Mechanical Systems in MATLAB
•    Developing mathematical models of mechanical systems
•    Solving differential equations using MATLAB for vibration analysis
•    System response to different types of inputs
•    Hands-on exercise: Modeling and simulation of a single-degree-of-freedom system
•    Case Study: Modeling vibrations in a cantilever beam

Module 4: Frequency Domain Analysis
•    Understanding the frequency domain and its importance in vibration analysis
•    Analyzing frequency response functions (FRF)
•    Using MATLAB to perform frequency domain analysis
•    Hands-on exercise: Frequency domain analysis of a multi-degree-of-freedom system
•    Real-Life Project: Frequency response analysis of a vehicle suspension system

Module 5: Modal Analysis with MATLAB
•    Introduction to modal analysis and its applications
•    Identifying natural frequencies, mode shapes, and damping ratios
•    Performing modal analysis using MATLAB
•    Hands-on exercise: Modal analysis of a structural component
•    Case Study: Modal analysis of a bridge structure under dynamic loading

Module 6: Vibration Measurement Techniques
•    Overview of vibration measurement tools and techniques
•    Selection and setup of sensors (accelerometers, velocity sensors)
•    Data acquisition and analysis using MATLAB
•    Hands-on exercise: Setting up and analyzing data from vibration sensors
•    Real-Life Project: Vibration monitoring of a rotating shaft in a manufacturing plant

Module 7: Rotating Machinery Diagnostics
•    Common vibration issues in rotating machinery (e.g., imbalance, misalignment)
•    Diagnostic techniques using vibration analysis
•    Using MATLAB for condition monitoring and fault diagnosis
•    Hands-on exercise: Diagnosing faults in rotating machinery using MATLAB
•    Case Study: Vibration diagnostics in an industrial fan system

Module 8: Advanced Vibration Analysis Techniques
•    Nonlinear vibrations and their impact on mechanical systems
•    Advanced signal processing: Wavelet analysis and Hilbert transform
•    Implementing advanced techniques in MATLAB for complex systems
•    Hands-on exercise: Analyzing nonlinear vibrations in MATLAB
•    Real-Life Project: Nonlinear vibration analysis of a high-speed turbine

Module 9: Finite Element Analysis (FEA) for Vibration Studies
•    Basics of FEA and its application in vibration analysis
•    Integrating MATLAB with FEA tools for comprehensive vibration analysis
•    Hands-on exercise: FEA-based vibration analysis of a mechanical structure
•    Case Study: FEA vibration analysis of an engine mount system

Module 10: Capstone Project: End-to-End Vibration Analysis
•    Comprehensive project incorporating all learned techniques
•    Analyzing a real-world mechanical system from data acquisition to diagnostics
•    Group presentations and feedback sessions
•    Final Project Presentation: Vibration analysis of a complex mechanical assembly, such as an aircraft wing or a large industrial machine