随机地震动过程的小波降维表达

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关键词：非平稳过程；小波变换；演变功率谱；随机正交函数；降维表达 中图分类号：P315.9；TU311.3 文献标志码：A DOI：10.16385/j.cnki.issn.1004-4523.202312026

Dimension-reduction representation of stochastic ground motion processes applying wavelet theory

LIU Zhangjun1²， ZHOU Jianglin'，ZHANG Wei²³，LIU Zixin4

（1.ScholofCivilEngineeringandArchitecture，WuhanInstuteofTechology，Wuhan43074，China;.ColegeofHydraulicand Environmental Engineering，China Three Gorges University，Yichang 443oo2，China；

3.GuizhouQiantongEngineeringTechnologyCo.，Ltd.，Guiyang550o14，China；4KeyLaboratoryofBuilding Colapse Mechanismnd Disaster Prevention，China EarthquakeAdministration，Universityof EmergencyManagement，Sanhe O65201，China）

Abstract：Basedonthewaveetrafoofdeteistfunctiosandintegratedwiththespectraldecompositionteoyofostatioay stochasticrocsidattheettsesiuteaiysicoOsist originalpectralepretatioofteveettsisstabsdytrodugadoogoalfuctiosdmsiouctio methodforon-statioarysohasticprocessesviavelettrafoiseveloedreewavelettyeselyOnde selectedandtireaiosongitalegreopaddlydtodetifiach representativesetofseismicacelerationprocesssamplescanbegeneratedusingonlytwoeementaryrandomvariables.Numericalexamples demonstratetattepropoedetodsupasestraditioalspectralepresetationetodsinbothaccuracyando-statioarityprsetio. ItsegieergaabiltsfurtefdtoughitigctalsootoedsIsuldotedattmesiouctin methodpresetedreisfulpbabilitproah;tatisteddsofeatedepresetieplesfopetepobblity. Thislaysafoundationforitegatigprobabiltesityevolutiontytoonucteiedescalysisofomplexegietctur.

Keywords：o-statioayproc;waelettasfo;evoutioaryoesctdesitydorthogoalfuctio;dmesiducti representation

震害中，工程结构的倒塌破坏是造成人员伤亡和经济损失的直接原因，因此保障工程结构的抗震能力至关重要。（剩余13492字）