文克勒彈性地基上中厚扁球殼的彎曲與自由振動(dòng).pdf

1、西安建筑科技大學(xué)碩士學(xué)位論文文克勒彈性地基上中厚扁球殼的彎曲與自由振動(dòng)姓名：秦于越申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：工程力學(xué)指導(dǎo)教師：何芳社20060601西安建筑科技大學(xué)碩士論文TheBendingandFreeVibrationsofModeratelyThickShallowSphericalSheHsontheWinklerElasticFoundationsMajor：EngineeringMechanicsPostgraduate：Q

2、inYu—yueInstructor：HeFang—sheAbstractT11ispaperisconcemedwiththetheoreticalinvestigationofthebendingandfreesvibrationsproblemsofmoderatelythickshallowsphericalshellsontheWinklerelasticfoundationsFirstofa11，F(xiàn)romthefundame

3、ntalequationsofthemoderate恤ickshallowsphericalshells，throu曲introducingStressfunctionF(r，護(hù))anddisplacementfunctionz(r，0)，andlookedStressfunctionF(r，0)、displacementfunctionz(r，0)anddeflectionsfunctionw(r，占)asbasicunknownsT

4、hen，usingthemixingmethodfortheequationsofmoderatelytllickshallowsphericalshellsontheelasticfoundationthen，thegoverningequationsofquietstrengthorfreevibrationCanbedeterminedTheanalyticsolutionsofgoverningequationsareexpre

5、ssedbyBessel’SfunctionsandharmomcfunctionsSo，thedisplacements、internalforcesandmomentsCanbedeterminedtooTherearetenundeterminedconstantsinfinalexpressionsUndertheconditionofthecertainboundaryconditions，theConstantscanbed

6、eterminedTheaxialsymmetryisoutofshape，therearethreetmdeterminedConstantsQuantityofundeterminedConstantsisjustequaltoquantityofthecertainboundaryconditionsSo，theseconstantscanbedeterminedItisnottheaxialsymmetryisoutofshap

7、e，ifr／=1，therearefourundeterminedconstantsIfnl，therearefiveundeterminedconstantsQuantityofundeterminedconstantsisequaltoquantityofthecertainboundaryconditionstootheseconstantsCanbedeterminedJustlikethis，thedisplacements、

8、intemalforcesandmomentscanbedeterminedTroughusingprocedureofMatlabthispapercalculatesthedeflectionsandthecurveofthedeflectionsofmoderatelythickshallowsphericalshellswitlltheclampededgeontheWinklerfoundationTheaxialsymmet