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1、1/31Correlation and Error LocalizationCorrelation and Error LocalizationAnalytical versus Experimental Dynamicsof a Large Structural AssemblyThesis presentation, Herman Marquart, 20132/31Correlation and Error LocalizationContent Introduction Theory Methodology Results Discussion Conclusion Recommend

2、ations3/31Correlation and Error LocalizationDepartment at ASML Structural Dynamics Component Well defined modeling process Largely automated in software Assembly Less defined modeling process Requires more subjective interferencesMechanical Analysis4/31Correlation and Error LocalizationAssignment fr

3、om ASML“Improve the correlation (process) of analytical and experimental structural assembly models” Procedure First understand the current process Determine typical properties of a structural assembly Determine applicability of correlation tools Determine typical errors made during modeling Define

4、specific research problem Propose methodologyFormulated as5/31Correlation and Error LocalizationGeneral development processSystem, subsystem, , component levelFunctional requirementsRealized functionsSystemdesignSubsystemdesignComponentdesignRealization, integration andSpecification, decomposition a

5、nd definitionTimelineSystemassemblySubsystemassemblyComponentproductionFeedback loopsvalidationExperimental modelsAnalytical models6/31Correlation and Error LocalizationTypical high tech case Assembly: set of many integrated componentsASML lithography machine7/31Correlation and Error LocalizationTyp

6、ical high tech case Typical properties of such an assembly Complex base structure (master structure) Thin walled box structure Many thin ribs and spacers Many holes Many components attached (slave structures) Several large components Many small components Cables, wires, pipes, channels, Positioning

7、module8/31Correlation and Error LocalizationGeneral modeling processSystem, subsystem, , component levelAnalytical approachEigensolution computationSpatialM C KModal ResponseHModal parameter identificationExperimental approach11TT-=M K()1TH -=-10210310-2100102FREQUENCY HzMAGNITUDE kgTP.V09 FRFS10210

8、310-2100102FREQUENCY HzMAGNITUDE kgTP.V09 FRFS10210310-2100102FREQUENCY HzMAGNITUDE kgTP.V09 FRFS10210310-2100102FREQUENCY HzMAGNITUDE kgTP.V09 FRFS9/31Correlation and Error LocalizationAnalytical approach Substructure assembly into components Natural approach Enables parallel engineering Possibly m

9、ore attention to details More flexible to local modifications Reduce each substructure Approximation Speeds up computation of eigensolutions Easy reuse and exchange of components Assemble reduced substructuresAssembly10/31Correlation and Error Localization Setup Structure Suspension Hammer Accelerom

10、eter Amplifiers Data acquisition module Computer Procedure Roving hammer methodExperimental approach11/31Correlation and Error LocalizationTheory discussion Practical issues Many small components Lots of effort required to perform such detailed analysis Simpler models could be sufficient Limited amo

11、unt of time available Practical solutions Omission of slave structures Omission of structural dynamics of slave structures Simplification of connections However, assumptions are not always validTheory versus application12/31Correlation and Error LocalizationResearch problemFormulated as“What is the

12、influence of a relatively lightweight resonating slave structure on the global structural dynamic behaviour of the master structure? How could you find the location of an unmeasured resonating slave structure with existing correlation tools and validation procedures, when multiple components are sus

13、picious?”“What is the influence of a relatively lightweight resonating slave structure on the global structural dynamic behaviour of the master structure? How could you find the location of an unmeasured resonating slave structure with existing correlation tools and validation procedures, when multi

14、ple components are suspicious?”13/31Correlation and Error LocalizationMethodology influence Simulation Create simplified structural assembly Master structure Slave structures Multiple non-resonating One resonating Compare and correlate models; observe typical effects Intended design versus realized

15、design Multiple positions of the resonating slave structure Validation14/31Correlation and Error LocalizationMethodologyDesign structural assembly Master structure Plate Linear elastic material Out of plane dynamics Asymmetric Mounting positions Simple to manufacture f1 200 Hz Slave structures 1 Spr

16、ung mass 9 Unsprung masses15/31Correlation and Error LocalizationMethodologyDesign slave structure Sprung mass Linear elastic material Out of plane vibration Single mount Simple to manufacture f1 500 Hz Unsprung mass f1 2000 Hz16/31Correlation and Error Localization influence Intended design10 unspr

17、ung masses Compare and Correlate Frequencies HzResultsRealized design1 sprung mass + 9 unsprung masses17/31Correlation and Error Localization Compare and Correlate Frequencies Hz Mode shapesResults influence RealizeddesignIntendeddesignRealized design1 sprung mass + 9 unsprung masses18/31Correlation

18、 and Error LocalizationTP.V21TP.V2112345678910 11 12 13 14 15 16 17 18 19 201234567891011121314151617181920EXP.PLATE.FP001.ASS.V02TP.V2112345678910 11 12 13 14 15 16 17 18 19 201234567891011121314151617181920 Compare and Correlate Frequencies Hz Mode shapes MACResults influence Intended design2Trsrs

19、TTrrssMAC % % %Intended designRealized designRealized design1 sprung mass + 9 unsprung masses19/31Correlation and Error Localization Compare and Correlate Frequencies Hz Mode shapes MAC FRFsResults influence Intended designRealized designMagnitude kg-1Magnitude kg-1Frequency HzFrequency HzRealized d

20、esign1 sprung mass + 9 unsprung masses20/31Correlation and Error Localization“What is the influence of a relatively lightweight resonating slave structure on the global structural dynamic behaviour of the master structure? How could you find the location of an unmeasured resonating slave structure w

21、ith existing correlation tools and validation procedures, when multiple components are suspicious?”Research problemFormulated as“What is the influence of a relatively lightweight resonating slave structure on the global structural dynamic behaviour of the master structure? How could you find the loc

22、ation of an unmeasured resonating slave structure with existing correlation tools and validation procedures, when multiple components are suspicious?”21/31Correlation and Error LocalizationMethodology localization Systematically correct intended design Known (approximately) Additional resonance freq

23、uency Slave structure mass Connection stiffness Unknown Location Define objective functions to quantify model correlation Localize the resonating slave structure with objective function22/31Correlation and Error LocalizationMethodologyProposed approach Isolate the master structure Add the small slav

24、e structures as mass-spring-systems Vary the connection stiffness of each slave structure one by one Recalculate the eigensolutions Compute objective values Eigenfrequencies Mode shapes Weighted summation23/31Correlation and Error LocalizationResultsOne slave structureowJoJJ R Objective valueModel v

25、ariant0.10.20.30.40.50.60.70.80.91P043MODEL VARIANTOBJECTIVE VALUE Stiffness valueObjective value24/31Correlation and Error LocalizationResultsAll slave structuresObjective valueStiffness value1234567891025/31Correlation and Error Localization12345678910ResultsAll slave structuresObjective valueStiffness value26/31Correlation and Error LocalizationResultsAll slave structuresObjective valueStiffness value1234567891027/31Correlation and Error