任意變厚度圓薄板在中心集中荷載作用下的非線性分析.pdf

1、天津大學(xué)碩士學(xué)位論文任意變厚度圓薄板在中心集中荷載作用下的非線性分析姓名：武法聘申請學(xué)位級別：碩士專業(yè)：結(jié)構(gòu)工程指導(dǎo)教師：侯朝勝20051201ABSTRACTInthispaperitisresearchedthatthenonlinearbendingproblemaboutcircularplateswitharbitrarilyvariablethicknessTheessayg／yesthebasicequationsofth

2、elargedeflectionofthincircularplateswitharbitrarilyvariableaccuratethicknessandvariableloadsThenonlineardifferentialequationsareacquiredbyusingpowerfunctionsa8trialfunotionsandthroughthecollocationmethodwhentheresultsofb

3、asicequationsa∞soughtTheNewtoniterativemethodisadoptedinordertoacquirethekeysofthedifferentialequationsbecausetheequationsarenonlineardifferentialequationsTheNewtoniterativemethodisconciseandtheconvergencevelocityoftheme

4、thodisveryquickWhenweanalysesthenonlinesrbendingproblemofthincircularplateswitharbitrarilyvariablethickness。loadsimposedmaybeconcentratedloadatitscenteruniformlydistributedload，uniformlydistributedradialmomentsandforcesa

5、longtheedgerespectivelyOrtheircombinationsConvergentsolutionscallstillbeobtainedbythismethodundertheloadwhosevaluewasingreat&ACeSSofnormaloneInthispapernotonlyfourboundaryconditions，suchasrigidlyclampededgeclampedbutfree

6、toslipedgesimplyhingededgeandsimplysupportededge，butalsotheelasticsupportisconsideredThemostresearchwOrkinthepaperismadeupofthenonlinearanalysesofthincircularplateswitharbitrarilyvariablethicknessandaconcentrated10adatit

7、sca剛凰UnderactionofaconcentratedloadatitscenterlinearsolutionsofthincircularplateswithlinearlyorquadraticvariablethicknessagecomparedwiththoseobtainedbytheparametermethodInadditionANSYSwhichisoneofthelargescalefiniteeleme

8、ntsoRwaresprovidestheresultsformanyexamplesgiveninthepaperBycomparisonitisindicated血atthemethodofthispaperisreliablcAllofabovecontentshavebeenprogrammedwimMathematieaandtestedonthecomputerTheprogramissimpleinuseandhasgoo