MATLAB Implementation of Vibration Analysis Toolbox with Source Code

This vibration analysis toolbox serves as an excellent resource for engineers and researchers working with mechanical vibrations and signal processing. The package includes comprehensive MATLAB source code implementations covering various vibration analysis algorithms, featuring a well-organized directory structure that separates core functions, demonstration scripts, and utility modules. The toolbox provides multiple vibration simulation modes and frequency analysis methods, including FFT-based spectral analysis, time-domain integration algorithms for vibration response calculation, and modal analysis functions using state-space representations. Key implementation features include configurable vibration pattern generators that simulate different mechanical scenarios through differential equation solvers, and sensor data processing modules that incorporate noise filtering and signal conditioning techniques. For data acquisition and analysis, the toolbox contains virtual sensor implementations with calibration routines and measurement device interfaces that support both simulated and real-world data input. The signal processing suite includes envelope detection algorithms for bearing fault diagnosis, order tracking methods for rotating machinery, and advanced filtering techniques using digital FIR/IIR filter designs. The user interface is designed with MATLAB's App Designer framework, providing an intuitive navigation system with modular function organization. Each component includes detailed help documentation with code examples demonstrating parameter configuration and result visualization using MATLAB's plotting capabilities. The toolbox architecture follows object-oriented programming principles where appropriate, allowing for easy extension and customization of vibration models. Documentation includes step-by-step implementation guides explaining the mathematical foundations of vibration algorithms, with practical examples covering resonance detection, harmonic analysis, and transient response simulation. The codebase employs MATLAB best practices with vectorized operations for computational efficiency and includes unit tests for validation of core algorithms. This toolbox represents a valuable investment for vibration engineering education and research, providing both theoretical foundations and practical implementation examples that can accelerate project development in mechanical system analysis and condition monitoring applications.