1.Hebei Provincial Key Lab of Heavy Machinery Fluid Power Transmission and Control,Yanshan University,Qinhuangdao 066004,China;
2.MOE Key Lab of Advanced Forging ＆ Stamping Technology and Science,Yanshan University,Qinhuangdao 066004,China
Abstract：Aiming at the parametric vibration caused by the pressure pulsation of the driving hydraulic cylinder of the electro-hydraulic 3-UPS/S parallel stabilization platform, the parametric vibration equation is established and the first order approximate solutions of the primary resonance response and the combined resonance response are solved by using the multiscale method. The response characteristics of primary resonance and combined resonance and the variation of vibration amplitude in the initial workspace are analyzed. Finally, the parametric vibration model is validated by using the Runge-Kutta method and modal tests. The results show that the maximum error between the numerical and theoretical solutions is 4.2%, and the maximum error between the theoretical and experimental values of natural frequencies is 4.66%, which can verify the correctness of the parametric vibration model.
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