無單元法及其在薄板自由振動(dòng)問題中的應(yīng)用.pdf

1、青島建筑工程學(xué)院碩士學(xué)位論文無單元法及其在薄板自由振動(dòng)問題中的應(yīng)用姓名：秦雅菲申請學(xué)位級別：碩士專業(yè)：結(jié)構(gòu)工程指導(dǎo)教師：張偉星20030301一重璺塞苧三墼蘭墮三堂堡主堂垡笙苧；Abstract嘶sdissertationappliesElementfreemethod(EFM)tosolvethefreevibratingproblemofthinplates。Thecontentsofthisdissertationcallbedi

2、videdintotwoparts：Inthefirstpart，thefundamentaltheoriesofMovingLeastSquaresMethod(MLSM)whichisthemathematicalbasisofEFMarestudiedthoroughlySeveralkeyproblems，suchastheselectionofweightfunction，thesizeofinfluenceradiusofn

3、odesandthecollocationofboundaryconditionetc，areresearchedProcessofnumericalimplementationispmsemedbynumereialexamplesTheyprovethatabovetheoriesarefeasibleInthesecondpart，thisdissertationappliedEFMtOsolvethreevibratingpro

4、blems：vibrationofthinplateswithdifferentboundaryconditions，vibrationoforthodoxyanisotropismandvibrationofthinplatesonelasticfoundationnlecorrespondingmassmamxandstiffnessmatrixofEFMisderivedusingvariationalprincipleTheco

5、rrespondingcomputerprogramsarealsodevelopedNumericalexamplesshowthatthemethodisreasonableandfeasiblePenaltyfunctionisappliedtoenforcetheessentialboundaryconditionsinthisdissertation1mecorrespondingenergyformulasarederive

6、dPenaltyfunctionsolvesthoroughlytheproblemwhichcollocationofboundaryconditionisdifficultbyEFMResearchshowsthatEFMhastheadvantageofsimplebeforeandafterprocesss，highaccuracyinsolvingthevibratingproblemofthinplatesSoEFMdecr