近断层地震动和单自由度体系地震动力响应的混沌特性分析

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1、大连理工大学硕士学位论文近断层地震动和单自由度体系地震动力响应的混沌特性分析姓名：杨丕鑫申请学位级别：硕士专业：工程力学指导教师：杨迪雄20090601近断层地震动和单自由度体系地震动力响应的混沌特性分析AnalysisonChaoticCharacteristicofNear—faultGroundMotionsandSeismicDynamicResponseofSDOFSystemsAbstractExploringthecharacteristicsofs仃ongearthquakegroundmotionshasbeenaveryimportantr

2、esearchtopictoboththeseismologicalandengineeringcommunitiesforalongperiod．Atpresent，intheearthquakeengineeringcommunitythetwohypotheseswhicharenotyetprovedareadopted，namelytheergodicityandstationaritysimplification．Moreover,theearthquakemotionsareviewedasstochasticprocesses，andthera

3、ndomvibrationanalysisofseismicresponsesofstructureshasalsobeenimplementedwidely．However，doearthquakegroundmotionshaveotherpropertiesbesidestheirrandomness?Aretheresomeintrinsiclawsforthegroundmotionrecordingswhicharecoveredbytheseemingirregularityanddisorder?Makingeffortstoanswerthe

4、sequestionsisworthwhile．Currently,thenon／inearscienceandnonlineartimeseriesanalysisbasedonchaosandfractaltheoryaredevelopingradically．TheyinspireUStoinvestigatethenonlinearcharacteristicsofgroundmotiontimeseriesinthedynamicalstatespace,whichcompletelydiffersfromtheprobabilisticappro

5、achforrandomprocesses．T11ispapertriestoexplorethecomplexityandirregularityofstrongearthquakegroundmotionsfromthisnewwaybasedonnonlineardynamics．Firstly，thenonlinearcharacteristicofnear-faultgroundmotion’S．accelerationrecordsisexaminedbychaotictimeseriesanalysis。Basedonthepowerspectr

6、umanalysis，principalcomponentanalysisandimproved删method，itisillustratedqualitativelythattheanalyzedlserieshavethechaoticproperty．Then,thechaotictimeseriesanalysismethodiSappliedtoquantitativelycalculatethenonlinearcharacteristicparameterssuchascorrelationdimensionandmaximalLyapunove

7、xponent．Numericalresultsshowthatthestronggroundmotionspossessthechaoticcharacter,ratherthanthepurerandomsignal．nesevereirregularityandcomplexityofgroundmotionsarethereflectionofhighnonlinearityofearthquakeprocess．Secondly，thetypicalnear-faultgroundmotionrecordingsareselectedasthesei

8、smicinput，andthenon