Wire Rope Damper Frequency Response Characteristic Research

In this paper, it is introduced the current research status of the steel ropeshock absorber nonlinear hysteretic vibration system and the various calculationmethods under the harmonic excitation. Then, the differential equations of thesteel rope shock absorber are established under the basic excitation, theharmonic force and their joint action. Using the Fourier series expansion methodand the Harmonic balance method，the corresponding steel rope shock absorberfrequency response equations are derived. On this basics, their numericalsolution is got, and the influence of the mass, damping, stiffness, and hystereticforce on the frequency response characteristics is analyzedUnder the basic excitation, with the basic simplified quality increasing, thenatural frequency will decrease, while the resonance amplitude will increase.With the steel rope damping, stiffness and the foundation damping increasing,the natural frequency will not change significantly, while the resonanceamplitude will decrease. With the foundation stiffness increasing, the naturalfrequency and the resonance amplitude will increase significantly. Theequipment quality and steel rope hysteretic force have no significant effect onthe frequency response characteristics.Under the harmonic force excitation, with the equipment quality increasing,the natural frequency will decrease, while the resonance amplitude will increase.With the steel rope damping increasing, the natural frequency and the resonanceamplitude will both decrease. With the foundation stiffness increasing, theresonance frequency will be almost unchanged, while the resonance amplitudewill decrease. With the steel rope stiffness increasing, the natural frequency willincrease, while the resonance amplitude will decrease. The steel rope hystereticforce, the basic simplified quality, the foundation damping have no significanteffect on the frequency response characteristics.Under the base excitation and harmonic force joint action, with theequipment quality increasing, natural frequency will decrease, while theresonance amplitude will significantly increase. With the basic simplifiedquality and the steel rope damping increasing, the natural frequency and resonance amplitude will decrease significantly. With the steel rope stiffnessincreasing, natural frequency will increase and the resonance amplitude willdecrease. The foundation damping, stiffness and the steel rope hysteretic forcehave no significant effect on the frequency response characteristics.