Optimal design of an inerter dynamic vibration absorber for control of a lifting platform considering SSI effect
When the lifting platform works at heights in the outside field,river beach and other environments,the dynamic interaction between the soft soil and outriggers of lifting platform will change the dynamic characteristics of the lifting platform system.In this paper,three dynamic models of lifting platform,which are incorporated with three different inerter dynamic vibration absorber(I-DVA)systems defined as SIS,SPIS-1 and SPIS-2,are presented with the consideration of soil-structure interaction.The expression of the amplification factor and the displacement mean square value of the operating platform is derived under harmonic and random force excitation,respectively.The optimal stiffness ratios and damping ratios of the I-DVAs are obtained based on H∞ and H2 optimization criteria by genetic algorithm in terms of three different soil foundations.The vibration reduction performance of three I-DVA systems is evaluated under the conditions of their optimal design parameters.The numerical studies show that:SPIS-2 performs the most effective vibration reduction,which not only suppress the resonance amplitude of the lifting platform,but also widen the frequency bandwidth.The soil-structure interaction can reduce the amplification factor under harmonic excitation and the mean square value under random excitation of the operating platform.The soil-structure interaction influences the optimal design parameters of the inerter systems insignificantly under harmonic and random excitation.Therefore,some empirical formulations of the optimal parameters for I-DVAs are fitted in order to provide reference for the vibration reduction design of lifting platform.
lifting platformSSI effectinerter dynamic vibration absorberparameter optimizationempirical formula