拱桥有限元设计计算原理及程序开发

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1、重庆交通大学硕士学位论文拱桥有限元设计计算原理及程序开发姓名：梁晓菊申请学位级别：硕士专业：桥梁与隧道工程指导教师：邹毅松;沈月强20080401ABSTRACTArchbridgehasalonghistoryinourcountry．Ithasatraditionalbridgestructurewiththevirtueofeconomyandeverlasting．Masonryarchbridgesarewidelyusedfortheycanbearhighpressure，havelessbendingmomentand

2、shearforce．Althougharchbridgeinferiortosuspensionbridgeandstaged—cablebridgeinspan．Asastructureofmodembridge，archbridgeisachiosewhenthebridgehasaspanof200to600meters．Whenthebridgehasmiddleorsmallspan，buildingarchbridgeisaneasytaskwhenciviliancraftsmenareavailable．Masonr

3、yarchbridgeswillbethefirstchoiceforitscharacteristic．Inthepast，peoplecalculatedarchbridgewiththehelpofmanual．Itisacomplicatedwork，sometimesapproximatecalculationisneededandtheresultisnotprecise．Recently，manykindsofsoftwaretocomputebridgeareavailableathomeandabroadsuchas

4、DoctorBridge，MidasandAnysisandSOon．Thesesottwarescanbeappliedtovariousofbridgestructuresincludingarchbridge，butthesesofiwarescostpeoplemuchtimetomodelthebridgestructureandinconveniencethosewhoarenotfamiliarwithcomputer．Furthermore，theycancaculatemorethanonekindofbridges

5、turctureandarenotconcisetopeoplewhousethesoftwarenamedQiaoliangtong．Inthispaper，combiningcomputerandfiniteelementmethode，theStiffnessmatrixofcell，theForceofEquivalentNodematrixofcellbytheforceofvolumeandsurface，theForceofEquivalentNodematrixofcellbychangedtemperature，fe

6、etofthearchchangeandthecompressionlinedeparturearederived．Accordingtothecomputeprincipleandprocessoffiniteelement，thePaperprovidesprogramofcountingintemalforceformanykindsofarchaxes．Atthesametime，subprogramofoptimizingarchaxesusingleastsquaresmethodwasprogrammedwhichisc

7、onvenienttodesignarchesaxes．Meanwhile，partitioncellinfecttoframeinternalforceaccordingtotheprogramresultwasanalyzed．Couputedresultandtheoreticalresultarealsocompared．Atlast，thechangesofvariableactioninnewcriterionandoldcriterionarealsoexplained．nleprogramwasdevelopedbyD

8、elphiasapartoftheprogramofQiaoLiangTongwhichhavethecharacteristicofconvenience．KeyWords：Archbridge；Finiteeleme