流动散体中波的传播规律与振动分形特征
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摘要
试验测定振动助流时散体颗粒在初始阶段和稳定流动阶段的振动加速度信号,并对流动场中波的传播规律进行分析。把流动中的散体看作弱横观各向同性介质,给出了P波、SH波和SV波的速度表达式,分析了它们在流动散体介质中的传播特点。认为椭球体的偏心率减小,散体间的黏性阻力和内摩擦力降低,松散系数增加,使散体具有更好的流动性。散体颗粒受振运动是一种不规则、复杂和随机的运动,具有分形特征,对其进行了分形分析和模拟。
The vibration acceleration signals at initial stage and steady stage in flowing granular media are tested,and the propagation of wave in the flowing field is analyzed. The flowing granular media are taken as weak transverse isotropic media,and the phase velocity expressions of P wave,SH wave and SV wave are deduced accordingly. Their propagation characteristics in flowing granular media are analyzed. Compared to normal ore drawing,the eccentricity of ellipsoid,the viscosity resistance and inner friction among granules and shear intensity of granules are decreased,and the loosening coefficient of granules is increased in vibration ore drawing,so the granules have better fluidity. The motions of granules by vibration are irregular,complicated and stochastic,so it has fractal characteristics,which is analyzed and simulated.
The vibration acceleration signals at initial stage and steady stage in flowing granular media are tested,and the propagation of wave in the flowing field is analyzed. The flowing granular media are taken as weak transverse isotropic media,and the phase velocity expressions of P wave,SH wave and SV wave are deduced accordingly. Their propagation characteristics in flowing granular media are analyzed. Compared to normal ore drawing,the eccentricity of ellipsoid,the viscosity resistance and inner friction among granules and shear intensity of granules are decreased,and the loosening coefficient of granules is increased in vibration ore drawing,so the granules have better fluidity. The motions of granules by vibration are irregular,complicated and stochastic,so it has fractal characteristics,which is analyzed and simulated.
引文
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[12](美)特科特D L.分形与混沌[M].陈隅,郑捷,季颖译.北京:地震出版社,1993.(TurcotteD L.Fractal andChaos[M].Translated byChengYu,ZhengJie,JiYing.Beijing:EarthquakePress,1993.(inChinese))
[2]戴兴国,吴贤振.细粒散料振动松散与密实机理探讨[J].矿冶工程,2000,20(1):12–14.(DaiXingguo,WuXianzhen.A study on the mechanism of loosening and concentrating of fine material under vibration[J].Mining andMetallurgicalEngineering,2000,20(1):12–14.(inChinese))
[3]徐仲达.地震波理论[M].上海:同济大学出版社,1997.185–196.(XuZhongda.TheTheory ofSeismicWave[M].Shanghai:TongjiUniversityPress,1997.185–196.(inChinese))
[4]PelissierM A,BettsA T,VestergouardP D.Azimuthally variations in scattering amplitudes induced by transverse isotropy[J].Geophysics,1991,56(10):1584–1595.
[5]RommelB E.Approximate stacking velocities in a weakly transversely isotropic layer[J].Can.J.Expl.Geophys.,1993,29(1):98–105.
[6]RommelB E.Approximate polarization of plane waves in a medium having weak transverse isotropy[J].Geophysics,1994,59(10):1605–1612.
[7]谢文录,谢维信.时间序列中的分形分析和参数提取[J].信号处理,1997,(2):97–104.(XieWenlu,XieWeixin.Fractal analysis and parameter obtainment in times sequence[J].SignalTreatment,1997,(2):97–104.(inChinese))
[8]YokoyaN.Fractal-based analysis and interpolation of3D natural surface shapes and their applications toTerrain modeling[J].ComputerVision,Graphics,andImageProcessing,1989,46(1):1–8.
[9]王正明,朱炬波.弹道跟踪数据的节省参数模型及应用[J].中国科学(E辑),1999,29(2):146–154.(WangZhengming,ZhuJubo.The saving parameter model of trajectory following data and its application[J].Science inChina(SerialsE),1999,29(2):146–154.(inChinese))
[10]朱炬波,梁甸农.组合分形Brown运动模型[J].中国科学(E辑),2000,30(4):312–319.(ZhuJubo,LiangDiannong.Combinatorial fractal-Brownian motion model[J].Science inChina(SerialsE),2000,30(4):312–319.(inChinese))
[11]高翔,陆佶人,陈向东.舰船辐射噪声的分形Brown运动模型[J].声学学报,1999,(1):19–28.(GaoXiang,LuJiren,ChenXiangdong.FractalBrown movement model of noise in boat[J].AcousticsJournal,1999,(1):19–28.(inChinese))
[12](美)特科特D L.分形与混沌[M].陈隅,郑捷,季颖译.北京:地震出版社,1993.(TurcotteD L.Fractal andChaos[M].Translated byChengYu,ZhengJie,JiYing.Beijing:EarthquakePress,1993.(inChinese))
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