ME 597A Lecture 7: Uncertainty Quantification in Experiments

By Arvind Raman

Mechanical Engineering, Purdue University, West Lafayette, IN

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Abstract

In this lecture overview is provided of how experimental data should be reported with true uncertainties. Most experimental data at some point require a model to convert measured electrical signals to a physical quantity, and uncertainties need to be propagated through different steps of data acquisition, data processing and model inversion to reveal true uncertainty associated with measurements. Examples from experiments on gas damping measurements in RF switches and for estimation of nanoparticles using AFM are discussed as case studies.

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Researchers should cite this work as follows:

  • Arvind Raman (2010), "ME 597A Lecture 7: Uncertainty Quantification in Experiments," http://nanohub.org/resources/10035.

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Birck Nanotechnology Center, Room 1001, Purdue University, West Lafayette, IN

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ME 597A Lecture 7: Uncertainty Quantification in Experiments
  • Lecture 7: UQ in experiments 1. Lecture 7: UQ in experiments 0
    00:00/00:00
  • Outline 2. Outline 85.852519185852529
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  • Experiments performed 3. Experiments performed 174.07407407407408
    00:00/00:00
  • Data Processing- Ring down 4. Data Processing- Ring down 297.89789789789791
    00:00/00:00
  • Ad hoc Experimental UQ 5. Ad hoc Experimental UQ 565.4320987654321
    00:00/00:00
  • Rigorous view of UQ - Data reduction 6. Rigorous view of UQ - Data red… 700.23356690023354
    00:00/00:00
  • Relevant Uncertainties 7. Relevant Uncertainties 910.94427761094437
    00:00/00:00
  • Propagating systematic uncertainties in experiments 8. Propagating systematic uncerta… 1031.4981648314981
    00:00/00:00
  • Atomic Force Microscopy 9. Atomic Force Microscopy 1312.4457791124457
    00:00/00:00
  • AFM Force Displacement (F-Z) Curve Experiment 10. AFM Force Displacement (F-Z) C… 1451.0510510510512
    00:00/00:00
  • AFM F-Z Curve Analysis 11. AFM F-Z Curve Analysis 1662.4290957624291
    00:00/00:00
  • F-Z curve calibration 12. F-Z curve calibration 1829.4961628294961
    00:00/00:00
  • Z-Piezo calibration 13. Z-Piezo calibration 1972.0720720720722
    00:00/00:00
  • Photodiode calibration 14. Photodiode calibration 2109.1424758091425
    00:00/00:00
  • Cantilever Stiffness calibration 15. Cantilever Stiffness calibrati… 2198.3650316983653
    00:00/00:00
  • Case study: Cellulose Nanocrystals 16. Case study: Cellulose Nanocrys… 2387.253920587254
    00:00/00:00
  • Uncertainty Propagation 17. Uncertainty Propagation 2746.7467467467468
    00:00/00:00
  • Case Study Cellulose Nanocrystals 18. Case Study Cellulose Nanocryst… 2806.6066066066069
    00:00/00:00
  • Uncertainty Propagation 19. Uncertainty Propagation 2906.0060060060059
    00:00/00:00
  • Case Study Cellulose Nanocrystals 20. Case Study Cellulose Nanocryst… 2928.728728728729
    00:00/00:00
  • Case Study: Cellulose Nanocrystals1 21. Case Study: Cellulose Nanocrys… 3082.0153486820154
    00:00/00:00
  • Sensitivity Analysis 22. Sensitivity Analysis 3190.3903903903906
    00:00/00:00