Simulink Simulation of Spring-Mass Systems with Modal Analysis

Using Simulink in MATLAB for spring-mass system simulation enables output of velocity, displacement, and acceleration parameters. The implementation involves creating dynamic models using Simulink's Foundation Library mechanical components (springs, masses, dampers) and configuring solvers for numerical integration. The project incorporates ITD (Ibrahim Time Domain) method algorithms for modal parameter identification, which processes system response data to extract natural frequencies and damping ratios through matrix operations and state-space formulations. Additionally, orthogonal normalized mode shape programs are implemented using eigenvalue decomposition and mass matrix normalization techniques to ensure orthogonality conditions. Simulink simulation provides intuitive visualization of system dynamic characteristics, facilitating comprehensive analysis and performance optimization. The platform offers extensive toolboxes and modules (such as Simscape Multibody for mechanical systems) that enhance simulation flexibility and scope. Consequently, Simulink-based spring-mass system simulations deliver detailed and accurate results that effectively support system design requirements and optimization processes through parameter sweeps and design of experiments.