非线性弹性地基上四边自由中厚矩形板的非线性静力分析

《非线性弹性地基上四边自由中厚矩形板的非线性静力分析》由会员上传分享，免费在线阅读，更多相关内容在行业资料-天天文库。

1、ABSTRACT111isaIticleinquiresintotllenonlinearstaticc11aracteristicsofmoderately“ckrectangulaurplatewithfourf．reeedgesonthenonlinearelasticfoundation．Uptillthepresentmoment；Manyscientistsintllethickrectan91eplateofnonlinearstaticanalysis“saSpectshadahugecont

2、ribution．Summeringauldref．erencingpredecessorsresearchresultS，ta虹ngint0acco眦e疏ctofnonlinearelaSticfbuIldation；tllenonlinearstaticgovenlingequationsofmoderatelythickrectangularplatewithfour行eeedgesanddoweland州thsu渤ceⅡ聃u曲cracksarederiVed．Wbhadanin-depthdiscus

3、sionont11emetllodforsolvingtheseproblems．ConsideringmeimpaCtofthenon-1inearfactorSofthefoundationa11daCcordingtotheplatebendingbalance，thenonlinearrectangularplatesonelasticfoulldation谢mf．0uredgesfheofnominearcontrolofdi航rentialequatioIlSareeStablished；cons

4、tructing仃iaJ劬ctiollSwllichsatis毋allboundaDrconditions，moderately也ickrectangularplateonnominearelaSticf．oundationofnolllinearstaticdi蔬rentiaJequationsintoasetofnolllinearalgebraiceq删io船．Tlleseeq嘣ioIlS撇solVedinthisaniclebyGalerkinmethod．Studyingonnonlinearmod

5、eratelytllickrect锄gularplates谢mf．our仔eeedgesonelaSticfoundationofnon．1ine盯sta_ticproblemsaJldcomparedwittltlleresultsiIltllerelevantliteratllre．StudyonthenolllinearstaticcharaCteristicsofmoderatelytllickrectangularplate、析thfourfkeedgesanddo、Ⅳelbaront11enoIl

6、linearelasticfoundation，platesco衄ectedbyadowelbaLrandloadtransferrodspaLssingbyinverticalspringsimulatioIl，tllespringstifmessdependingon仃锄smissioncharaCteristicsaIldtlleinterauctionbetweent11eroda11dplate．Accordingt0thepla_tebendingbal锄ce，menoIlline盯rect锄gu

7、laurplatesonelaSticfIouIldation晰thf-ouredgesf峙e觚ddowelbarofnollline盯controlofdifrerentialeq伽iollSareestablished．Wesolvedmeseeq嘁ionsbyusingbouIldarydisplacementfIunction姐dttleGalerldnmetIlod，tlluswec觚obtaillmedisplacementoft11eboardat锄ypoint．TheresultSofn啪er

8、icalcalculationsiIldicatematmenonlinearStaticcharacteristicsofmoderatelytIlick陀ct趾gul盯platewitllfour肌eedges觚ddoWelontllenolllinearelaSticfoundationVary、vitllt11eparametersoftheplategCmctIlre，f．oundatio