Modeling of Four-Degree-of-Freedom Suspension Systems and Methods for Calculating Free Vibration Frequencies

In the modeling of four-degree-of-freedom suspension systems, multiple analytical and numerical methods can be employed to determine free vibration frequencies, typically involving eigenvalue analysis of the system's mass and stiffness matrices. The study extends to half-wave input response simulations using time-domain integration methods like Runge-Kutta algorithms, forced vibration response analysis through harmonic excitation techniques, and frequency response function calculations employing Fast Fourier Transform (FFT) processing. For free vibration response investigations, code implementations often include amplitude-frequency relationship analysis using peak detection algorithms and stability assessment through phase portrait generation. Nonlinear characteristics can be examined using numerical continuation methods or perturbation techniques. These comprehensive analyses facilitate deeper understanding of suspension system dynamics and enable performance optimization through parameter tuning in simulation environments.