脉动风速连续随机场的单索引随机函数表达

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关键词：脉动风速；时空随机场；FFT算法；频率-波数谱；随机函数；降维 中图分类号：TU312.1 文献标志码：A DOI：10.16385/j.cnki.issn.1004-4523.20240302

Single-index random function representation of the fluctuating wind velocity continuous stochastic field

WANG Hao， LIU Yun， XU Zidong， ZHAO Kaiyong

（KeyLaboratoyfoceteadstreedCocetetrcturesofstyducatioSoutheastUnivesityNajnga

Abstract：Inthsiulatioofuctuatigidvelocityontiuousstoasticeldthecalculatioeficiecyisimprovedintedsio reductionwaveumberspectraeresentation（DR-WSR）modelebedingtheto-dimensinfastFouriertransfo（2D-FFagorit.Itis realizedbydereasingtquedumberofepresetatiesmples.Hweve，thsimuatoduraoofsinglspleistillacetable duto2D-FFTcalcuatosofigordewavenumber-frequencymatricesTerefore，theDR-WRmethdbasedonteingle-indeado function（SDR-WSR）isproposedinthisstudy.Tewavenumber-frequencyspectrumisdcoupledbytheproperorthogonaldecoosition techology.Tdoubledexadmfuctioisexpresedytheprodutoftwoidepedentsingedexadomfuctiosinthtial form.TheSDR-WSRmethodembedingtheD-FalgoritisivenintediscretiedFourierfo.Itgeneratesfuctuatigwindvelocities throughmereldozsofD-calculatiosonvectors，whichimprovestheficiecyinsiulatioofbothsinglesapleadsapleets. ThenumericalsimuationofaorzontalfuctuatingwindvelocitycontinuousstochasticfeldisimplementedbasedontheSDR-WndDRWSR，the effectiveness and efficiency of the proposed method are demonstrated.

eywords：fluctuatingindveloityspatl-emporaltohastfeld;FFalgithfrequencywaveuberspectr;aofuctio dimension reduction

风荷载在大跨度桥梁及高层建筑等柔性风敏感结构的设计中起控制作用[1]。（剩余9611字）