Resonace analysis of a coupled high-speed maglev vehicle-bridge coupled system under bounded noise

Abstract

Abstract Coupled oscillations typically occur in maglev vehicle-bridge coupled systems excited by bounded noise caused by rail irregularities. The paper employed Hamilton equations to derive the corresponding canonical transformation equations and determine the critical stable regions for two kinds of resonances using the largest Lyapunov exponent. The results show that the critical stable region between the excitation amplitude and the resonant frequency ratio has a valley shape when the system has only extrinsic resonance. When considering both internal and extrinsic resonance, the critical stablity region between the excitation amplitude and resonant frequency ratio presents a small cone shape. Energy transfer from the first to the second oscillator nuder with both internal and extrinsic resonance. As the guideway irregularity coefficient increases, the maximum Lyapunov exponents of the two conditions change from negative to positive, which means that the system varies from a stable state to instability.