Mathematica在结构分析中的应用

《Mathematica在结构分析中的应用》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、合肥工业大学硕士学位论文Mathematica在结构分析中的应用姓名：董震申请学位级别：硕士专业：工程力学指导教师：王建国20040201TheapplicationofMathematicainstructuralengineeringAbstractWolframResearchisthecreatoroftheexcellentsofiware--Mathematica，whichistheworldlSonlyfullyintegratedenvironmentfortechnicalcomputing．Ithasthenumerical-·computation

2、andpowerfulsymbolic—manipulationcapabilitiesandistheexcellenttoolforscientificcomputation．ManyscientistsapplyMathematicatosolveallkindsofstructuralproblemsinengineeringandotherfields．problemofoptimaldesignandcontrolofcompositelaminatedplatesisverycomplexity，TheresearchispresentedbasedORth

3、eclassicallaminatetheoriesforspecialboundaryconditionsandfewpapershavebeenformulatedbasedonhigher—orderlaminatetheorieswithvariouscasesofboundaryconditions．Thepaperwillcreatethestructural—engineeringprogramwithMathematicatosolvetheproblemofcompositelaminatedplatesbasedonhigher—orderlamina

4、tetheorieswithvariousgasesofboundaryconditions．Inthefieldofnumerical—computation，Fortranisanoldandpracticalcomputerlanguagewithgreatefficiencyandspeed，butithasnotsymbolicmanipulation．However，althoughithaspowerfulsymbolic—manipulationcapabilities，Mathematicaisawfullimitedinexecutablespeed．

5、ThepaperwillcombineFortranwithMathematicatorealizesymbolicmanipulationinthelatterandnumericalcomputationintheformer．Withtherapiddevelopment0fcomputer，thefinite—elementmethodiswidelyappliedincivilengineeringandotherfields．However，itisverydifficulttowritethefinite—elementprogramwithFortrano

6、rCbyreasonoftheexcessivelongsentencesandcomplexstructure．Inthepaper,onemethodwasintroducedtodesignthefinite—elementprogramwiththreekindsoflanguages————Mathematica．VisualFortranandImsl．Becauseofthefulladvantageoftheselanguages，theprogramshavethecharacteristicsofbriefsentences，highaccuracya

7、ndorderedtexture．Keywords：Mathematica，Compositelaminatedplates，Fortran，FiniteElements，ProgrammingwithMixedLanguages独创性声明本人卢叫所呈交的学位论文是本人在导师指导下进行的研究上作及取得的研究成果。据我所知，除了文中特别加以标注和致谢的地方外，论文中不包含其他人已经发表或撰写过的研究成果，也不包含为获得盒目B』些叁生或其他教育机构的学位或证‘”而使刚过的材料。与我一同上作的同志对本研究所做的任何贡献均己在论文中作