A double variable-length pendulum with counterweight mass, kinematic excitation and electromagnetic forcing

Abstract This study introduces a novel double variable-length cable pendulum model and experimental setup featuring elastic suspension counterweight mass. Our main goal is to investigate the complex dynamics resulting from variable length’s impact on vibration frequency amplitude. Through numerical simulations experiments, we explore system’s response different external forces. Utilizing methods like phase plots, bifurcation diagrams, Lyapunov exponents, delve into nonlinear dynamics. We also use vision-based techniques assess friction damping-related vibrations magnetic field interactions. The results reveal diverse behaviors, including chaotic periodic oscillations, shedding light control functions parameter relationships. developed system captures intricate attains stable modes, as confirmed by measurements. platform can analyze irregular in systems with elastically suspended weights driven motors or mobile cranes. Its nature, encompassing kinematic excitation, electromagnetic interactions, sliding friction, allows for exploring capacity modulate frequencies contributes mitigating persistent vibrations.