AbstractStudy on the Vibration Reduction Model of Urban GreeningTrees Based on Periodic TheoryABSTRACTThe study shows that there is a attenuation region in the periodic structure,which can make fulland effective use of the periodic physical foundation,making it impossible for the seismic wave topass through the specific frequency range of the input building foundation,in order to achieve theisolation of seismic wave energy transmission isolation effect.In this paper,using ANSYS,MATLABand Origin software,finite element method,through the combination of theoretical calculation,numerical simulation and experimental verification,the attenuation domain of the designed periodicfoundation is calculated,the effects of the thickness of the plate,the width of the rubber connectingrod,the elastic modulus of the rubber connecting rod,the density of the vibrator core and the materialparameters on the attenuation region of the periodic foundation are analyzed.The results show thatthe frequency range of the attenuation region calculated by the finite element simulation model isconsistent with that calculated by the theory,and when the thickness of the plate,the width of therubber connecting rod and the elastic modulus of the rubber connecting rod increase,to a certainextent,the band gap will widen,and the starting frequency and the cut-off frequency will alsoincrease,but the change law of the band gap with the increase of the oscillator core density is differentfrom the former,the larger the density,the wider the band gap will be,but the starting frequency andthe cut-off frequency will decrease.Moreover,the band gap width and its range are most sensitive tothe elastic modulus of rubber connecting rod and the density of vibrator core.Therefore,this paperdesigns the periodic structural base plate which can cover the low frequency wave of seismic wave.At the same time,the effectiveness of the designed periodic damping foundation is verified bycomparing the periodic plate with the pure plate.In addition,the upper structure model with 10 storiesis set up on the basis of the design,and bending wave and plane wave are input to explore the impact
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