MATLAB Implementation of Multi-Degree-of-Freedom Systems with Code Description

This documentation describes several MATLAB files for multi-degree-of-freedom system analysis. The file "duoziyoudu.m" is an independent script that can be executed separately - it implements a 3-DOF system model and calculates the dynamic response under impulse excitation using state-space formulation or transfer function approaches. The subsequent files "control.m", "plotresult.m", and "duoziyoudu.mdl" constitute a complete simulation pipeline. Execution begins with "control.m" which typically handles parameter initialization, system matrix generation (mass, damping, and stiffness matrices), and loading of the Kobe earthquake wave data. Following this, the Simulink model "duoziyoudu.mdl" performs the time-domain simulation using numerical integration methods like Runge-Kutta. Finally, "plotresult.m" generates comprehensive visualization outputs including time-history responses, frequency spectra, and phase portraits using MATLAB's plotting functions with customized formatting for technical presentation. The simulation utilizes authentic Kobe earthquake wave data as excitation input for realistic seismic response analysis.