基于圖表示的對偶轉換的研究及其在工程中的應用.pdf

1、華中科技大學碩士學位論文基于圖表示的對偶轉換的研究及其在工程中的應用姓名：張少華申請學位級別：碩士專業(yè)：機械設計及理論指導教師：王學林20040509華中科技大學碩士學位論文AbstractThethesisintroducesageneralapproachforsolvingengineeringproblemsbytransformingthemtoproblemsinotherengineeringfields，throughg

2、eneraldiscretemathematicalmodelscalledgraphrepresentationsThroughthetransformationbetweenengineeringstructures，thethesisshowssomenewmethodsandtheoriesforcomplicatedengineeringproblemsFirstlythethesisintroducesbrieflyappl

3、ianceinengineeringstructuresofgraphandreviewssomefrequentlyusedmethodsofmechanicalkinematicsAtthesarnetime，severalconceptsandcorrelationtheoriesarepresentedinthisthesisSecondarydifferentkindsofengineeringstructuresarerep

4、resentedbygraphthroughthemathematicrelationsbetweendifferentkindsofgraphrepresentation(GR)andtransformationthinkingByanalyzingtheconjunctionofvariousgraphrepresentation，transformationrelationsbetweenvariousengineeringstr

5、ucturesareestablishedThen，thethesisviewsthemechanismsandtrussesa8mainresearchsubjectandrepresentsmechanismsaspotentialgraph口GR)，trussesasflowgraph(FGR)Basedonthedualitybetweenpotentialgraphandflowgraph，thesamerelationand

6、transformationarcestablishedThroughthedualitytransformationbetweenmechanismsandtrusses，thethesisUSeSsomespecialmethodsfromstructuralanalysisinmachinetheorysuchasHenneberg’Smethod，andalsoemploysmethodsfrommachinetheoryins

7、tructuralanalysis，suchasthevectorresolutionmethodThen，thethesisregardsmultiengineeringstructuresaSsubjectinvestigatedThroughgraphrepresentation，thetransformationrelationsbetweentheseengineeringstructuresareestablishedAtt

8、hesametimetheloopmethodfromstructuresmechanicsisdes喇bedbyKirchhoff’scurrentlaw(KCL)andKirchhoffsvoltagelaw(KVL)Basedonthedualitybetweenmechanismsandtrussesandtheloopmethod，whichisdescribedbyKVL，thethesisshowsanewmethodca