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1、大連理工大學(xué)碩士學(xué)位論文近斷層地震動(dòng)和單自由度體系地震動(dòng)力響應(yīng)的混沌特性分析姓名：楊丕鑫申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：工程力學(xué)指導(dǎo)教師：楊迪雄20090601近斷層地震動(dòng)和單自由度體系地震動(dòng)力響應(yīng)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．a(chǎn)ccelerationrecordsisexaminedbychaotictimeseriesanalysis。Basedonthepowerspectr
6、umanalysis，principalcomponentanalysisandimproved刪method，itisillustratedqualitativelythattheanalyzedlserieshavethechaoticproperty．Then,thechaotictimeseriesanalysismethodiSappliedtoquantitativelycalculatethenonlinearcharacteristicparameterssuchascorrelationdimensionandmaximalLyapunove
7、xponent．Numericalresultsshowthatthestronggroundmotionspossessthechaoticcharacter,ratherthanthepurerandomsignal．nesevereirregularityandcomplexityofgroundmotionsarethereflectionofhighnonlinearityofearthquakeprocess．Secondly，thetypicalnear-faultgroundmotionrecordingsareselectedasthesei
8、smicinput，andthenon
