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Vibrant NDT Process Compensated Resonant Testing - PCRT

Vibrant NDT A Partnership between Johnson and Allen Ltd (UK) and Vibrant (US). Vibrant NDT Process Compensated Resonant Testing - PCRT. Functional Quality. Quality - Definitions Visual Quality – rejects parts with visual indications that exceed (arbitrary) specification

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Vibrant NDT Process Compensated Resonant Testing - PCRT

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  1. Vibrant NDT A Partnership between Johnson and Allen Ltd (UK) and Vibrant (US) Vibrant NDT Process Compensated Resonant Testing - PCRT

  2. Functional Quality • Quality - Definitions • Visual Quality – rejects parts with visual indications that exceed (arbitrary) specification • Functional Quality – rejects parts with structural degradation that will cause premature field failure • Functional Quality Requires NDT that: • Measures structural properties • Provides results that are traceable to failure levels • Provides quantitative and objective reject criteria • Only Resonance NDT can meet these requirements • Resonance MUST be Process Compensated • Uncompensated variations mask defects • Process Compensation Requires • Math tools to compute compensation algorithms • Precision frequency measurements • Temperature compensation

  3. Ferrous Castings NDT Magnetic Particle Ultrasound Velocity Multi-probe Ultrasound Aluminum Castings NDT Brinell Test Dye Penetrant X-Ray OR OR Why Resonance Test - Savings Resonance can replace three conventional NDT tests with one inexpensive, dry, global test Resonance Problem: Process variations mask defects for uncompensated resonance

  4. Why Resonance Test – Reliable NDT Resonant Frequencies determined by dimensions and material properties of “whole part” fr ~ k/m fr = resonant frequency k = stiffness (elastic properties e.g., Young’s Modulus) m = mass (dimensions, density) Structural Defect = strength reduction caused by degraded material properties or dimensional variation e.g., a crack reduces stiffness and lowers the resonant frequency • Degree of shift in resonant frequency correlates to degree of defectiveness Resonances evaluate the whole part, no scanning - no indications

  5. Resonant Frequency Correlates Directly to Break Strength Break Force vs. Resonant Frequency for Exhaust Flange The high correlation between performance degradation and resonant frequency is the foundation for an NDT program

  6. Demonstration:Resonant Frequency vs. Defect Severity Connecting Rod Experiment Good Con Rod Small Cut – Similar to Normal Production Crack Shift = 0.9% Larger Cut – Similar to Large Crack Shift = 1.5% A defect reduces the stiffness of the part and causes a proportional shift in the resonant frequency

  7. Process Variation Mask Defects Good Rod 1 Small Defect 1 Large Defect 1 Good Rod 2 Small Defect 2 Large Defect 2 Good Rod 3 Small Defect 3 Large Defect 3 The Frequency of Good Rod #1 is lower than the frequency of Rod #2 with a large defect, due to normal process variation

  8. Acceptance window rejects 35% of bad parts Poor Basis for Sorting Good and Bad Parts overlap Distribution of resonances for 200 master cylinder bodies Defect Masking Effect Resonance Testing is the Key to Functional Quality – But, Acceptable Process Variations in Dimensions and Material Properties Produce Frequency Shifts that Mask Defects • Bad part frequency distribution overlaps good part distribution • Some defects increase resonant frequency (e.g., reduced mass) Result – Uncompensated resonance testing limited to detecting gross defects

  9. Simple Compensation Silicon Nitride Valves ALL resonances shift due to process variations DIAGNOSTIC resonances also shift due to defect Good Part Peak Separation > 2.8 kHz Diagnostic Resonance fd Baseline Resonance f1 Bad Part Peak Separation < 2.0 kHz Separation between resonant peaks can SOMETIMES be correlated to larger defects despite process variations

  10. Comprehensive Process Compensation • Multi-frequency Process Compensation • Extension of Compensation to many variables • Measure multiple resonances • Predict frequency of the diagnostic resonance • Difference between measured and predicted frequency is the Predictor Error • Compute Process Compensation Equations fdp = A*f1 + B*f2 + C*f3 + D*f4 + … PE = fdp - fdm Where: fdp andfdm are the Predicted and Measured Frequencies of the Diagnostic Resonance, and PE is the Predictor Error • Range of PE for good parts is Acceptance Window • Predictor Error correlates to performance degradation • Statistical Pattern Recognition techniques develop the compensation equation • MTS (Mahalanobis Taguchi Score) characterizes good parts • Bias score characterizes bad parts

  11. Vibrant Uses Pattern Recognition to Predict Resonant Frequency • Predictor Error separates Good and Bad parts • No overlap of Good & Bad Distributions • Parts outside Acceptance Window are rejected Perfect Sorting All Good parts accepted All Bad parts rejected Distribution of Predictor Error for 200 Aluminum Master Cylinders Process Compensation “sees through” process variation to provide effective sorting

  12. - Graphical Illustration - Part Sorting Using Pattern Recognition Measured & Predicted Resonant Frequencies for 200 Aluminum Master Cylinders MTS = Mahalanobis Taguchi System Vibrant’s VIPR program computes MTS Compensation Equations

  13. VIPR Bad Parts Reject MTS Cutoff Accept Accept Reject Good Parts Bias Cutoff VIPR – Computes the sorting algorithm

  14. Error Bars Vibrant Score Predicts Performance • Correlation is perfect because: • Vibrant score is determined by part strength • Defect size and orientation are controlled Perfect correlation is impossible for other NDT methods because they do not measure parameters that determine Part Strength

  15. Vibrant Sensitivity • Common Question: • How small of a defect can Vibrant detect? • Proper Question: • How much degradation can Vibrant detect? • Answer - Detection Threshold Depends On: • Definition of Defectiveness – Bad parts must be statistically weaker than good parts • Defects must be structural, not cosmetic • Failure distribution must be statistically defined • Measurement R&R (i.e., Precision, Temp. Comp., Tooling) • Available Test Time vs. Weight & Complexity of Part

  16. Variable 1 – Definition of Defectiveness • Visual Definition – Parts that “look” bad - unworkable • Functional Definition – Part that would fail prematurely in service • Statistical Definition – Part that is statistically weaker than minimum failurelevel of good parts Sample Vibrant Severity Definitions Based on Minimum Acceptable (Good) = Mean – 3 sigma

  17. Legend Good Parts - Bad Parts - x Reclassified Parts - Visual Classification Provides Poor Basis For Sorting Visual Classification Functional Classification Good and Bad Parts Separated Good and Bad Parts Overlap VIPR Sorting = 95% VIPR Sorting = 99.7%

  18. Variable 2 – Resonance Measurement Reliability and Repeatability EFFECT OF MEASUREMENT ERROR ON SORT PERFORMANCE Fix this Error Bound = 0.03% Error Bound = 0.03% Measurement Error = 0.03% Parts Can Be Sorted Measurement Error = 1% Parts Cannot Be Sorted Performance Comparison Vibrant Swept Frequency Method vs. Impulse Method (hammer & microphone)

  19. Temperature Compensation • Temperature Compensation is critical to accurate resonance measurements • Vibrant total error budget is 0.03% • Resonant frequency varies with temperature • Ferrous – 0.015% per degree Celsius • Aluminum – 0.025% per degree Celsius • Compensation measures part temperature (+/- 0.5 degrees Celsius) and computes equivalent frequency at baseline temperature • Temperature Compensation Example • Part measured at 23 C • Repeat measurement at 31 °C • Repeat measurement compensated to 23 °C baseline • Compensation Accuracy = 99.995% 68.400 kHz 68.318 kHz 68.397 kHz

  20. Variable 3 - Test Time • Required Test Time determined primarily by Part weight and complexity • Heavier parts use lower frequencies – longer measurement time • Complex geometry requires more resonances for compensation • Number of resonances also increases with: • Amount of Process Variation • Statistical overlap between Good and Bad part failure levels • Required sort accuracy VIPR Accuracy vs. # Resonances PM Sensor - 86 goods, 32 bads

  21. Severity Detection Threshold Determines Test Time Minimum Detectable Degradation - typical Q = 2000 Example: 2 pound simple part requires 5 - 6 sec. To reliably detect degradation of B3 and above Minimum defect severity threshold can be traded vs. test time for a given part weight, stiffness & complexity,

  22. Galaxy Projects Timing vs. Weight & Complexity Tradeoff Process feedback example – reliable detection of B3 severity will require 6 to 7 seconds for this part.

  23. Hole Size - mm Mass Removed - % Original Position Vibrant Score vs. Defect Size Control Arm Experiment Correlation of Vibrant Score to hole size as Good Part (G12) drilled out Conclusion:Vibrant Score correlates to defect severity even for complex parts

  24. PCRT Application Example - Cracks Good Parts Bad Parts • Sample: 140 Hubs • 71 good, 69 bad • Develop Sorting Module • 40% train, 60% validate • Result: 1 “good” part – GIG-10 rejected in validation • Microscopic exam - 40X MTS GIG-10 BAB4 Bias Crack Crack BAB4 MPI Bad MPIGood Conclusion: Some MPI “Goods” have larger cracks than MPI “Bads”. Vibrant produces consistent results

  25. Application Example - Nodularity Data Source: Emerson – British Cast Iron Research Assoc. - 1974 Sensitivity: Frequency shift vs. Nodularity Bad Good Ductile Iron Brake Anchors Defective = Average nodularity 70%

  26. BAB4 First in Functional Quality Vibrant NDT Neocol Works Smithfields Sheffield S3 7AR

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