基于qr分解法和有效独立法的大型钢结构健康监测测点优化布置-研究与应用

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1、一ljhk’(，★～}f-山东建筑大学硕士学位论文StudyandApplicationoftheSensorsOptimalPlacementDependsontheQRDecompositionMethodandtheEffectiveIndependenceAlgorithmintheLarge—scaleSteelStructureEngineeringHealthMonitoringABSTl认CTThestructurehealthmonitoringhasbeenoneoftheresearchfocus，andthe

2、sensorsoptimalplacementisthekeystepofit，andtherearemanymonitoringdatacollectionmethods，thisarticlecomparedtheprinciples，classificationsandthecharacteristicsofthefiberBragggratingsensors，vibratingwiresensors，piezoelectricsensorsandsomeotherkinds；accordingtotheactualproj

3、ectsituation，thevibratingwiresensorswerechosenforthisproject，alsoprovidedgoodreferenceforsimilarprojectsUsingthemathematicaldescription，combiningthestructuraldynamicsandthemodalanalysistheory,thetheoreticalprinciplesofthevibrationsensorsoptimalplacementinthehealthmonit

4、oringarebasicallyelaborated；weintroducedsomerepresentativesensorsoptimalplacementprinciples，analyzedthebasicprinciplesoftheminimumerror-identifyguidelinesandtheoptimalplacementprinciplesdependonenergyandmodalassurance．Eightclassicoptimizationcalculatemethods(theeffecti

5、veindependencealgorithm，theQRdecompositionmethod，theeffectivestrainenergymethod，geneticalgorithm，theMACmethod，Guyanmodelreductionmethod，modalkineticmethod，andsingularvaluedecompositionmethod)wereStudied．Withcomparingtheircharacteristics，wethoughtusingboththeQRdecomposi

6、tionmethodandtheeffectiveindependencealgorithmtosomelarge—scalestructureengineeringhealthmonitoringsensorsoptimalplacementCanbemoreaccurateandreducetheiterationsoftheeffectiveindependencealgorithm，itissimplyoperatedandhi．gh—efficientlycalculated．Usetheresearchachieveme

7、nttooptimizethevibrationsensorsofthesteelbleachersoftheGrandTheatreConcertHall．FirstlyusingthegreatfiniteelementanalysissoftwareANSYStoestablishthemodel，outputthe．first10vibrationmodematrixofthesteelbleachers；secondly,usingtheMATLABlanguagetoexecutetheQRdecompositionto

8、the．一～’^kf■山东建筑大学硕士学位论文目录摘要⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯1ABSTRACT⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯··．1I第1章绪论1．1课题的研究背景和科学研究意义⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯一