| Course Unit Code | 480-8802/01 |
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| Number of ECTS Credits Allocated | 10 ECTS credits |
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| Type of Course Unit * | Choice-compulsory |
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| Level of Course Unit * | Third Cycle |
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| Year of Study * | |
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| Semester when the Course Unit is delivered | Winter, Summer Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| HLA57 | prof. Ing. Libor Hlaváč, Ph.D. |
| Summary |
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The topics of the subject are as follows: philosophy of the errors in
measurement and uncertainties, standard uncertainty of the type A, standard
uncertainty of the type B, combined standard uncertainty, widened standard
uncertainty, determination of the standard uncertainties, significance of
determination of uncertainties in accredited calibrating and testing
laboratories, certificate of qualification for gauging, measurement and
testing activities. As a part of the subject exam the doctoral student has to
prepare in written form either evaluation of measurements or critique of norms
and/or technical instructions from the branch of dissertation according to
adviser recommendation. |
| Learning Outcomes of the Course Unit |
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| The subject includes these themes discussed in a context of the problems of the assigned doctoral work: the philosophy of measurement of uncertainties, standard uncertainty of the A type, standard uncertainty of the B type, combined standard uncertainty, extended standard uncertainty, determination of standard uncertainties, significance of determination of uncertainties in certified calibrating and testing laboratories, the reasons for introduction of certificates approving qualification for metrology and testing activities. |
| Course Contents |
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1. NUMERICAL CHARACTERISTICS OF RANDOM VARIABLES
Distribution function, probability density functions and probability.
Mean. Moments. Characteristic functions of random variables.
Quantiles. Characteristics of the location and variability. Characteristics of the obliquity and kurtosis. Symmetrical distribution.
2. STUDENT DISTRIBUTION
The sample average. Unbiased estimate. Sample variance. Selection standard
deviation. Confidence interval. Risk. Student's coefficient. Extreme
error.
3. ELIMINATING OF RANDOM AND SYSTEMATIC ERRORS
Substitution method. Method bias changes sign. Method changes
sign of the measured quantity. Symmetrical method of measurement. The method of periodic measurements.
4. BASIC CONCEPTS AND DEFINITIONS FROM THE MEASUREMENT UNCERTAINTY
Random variable. Uncertainty. Initial estimate of the input variables.
Output estimate the output value.
5. MEASUREMENT UNCERTAINTY
Standard uncertainty of type A, type B, method of estimating the standard uncertainty of type B, conversion uncertainties correlation between sources of uncertainty, combined standard C uncertainty, expanded uncertainty, determination coefficient of expansion.
6. METHODOLOGICAL PROCEDURE FOR DETERMINING THE UNCERTAINTY
Analysis of input conditions. The mathematical model selected methodology.
Identification and implementation of all major correction. Sources of uncertainties.
Determination of the input standard uncertainties. Determination of the combined standard uncertainty. Analysis of the contributions of individual uncertainties. Setting expansion uncertainty.
7. MEASURING INSTRUMENT UNCERTAINTY OF ELECTRICAL VARIABLES
8. UNCERTAINTY OF TESTING AND EVALUATION
Determination of uncertainties in tensile tests, tests, impact test. Rating
uncertainties in hardness testing.
9. CERTIFICATION AND ACCREDITATION
Definitions. Certification of quality assurance, personnel, products
and in testing laboratories. Certification in the country. |
| Recommended or Required Reading |
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| Required Reading: |
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Barbato, G.; Germak, A. Uncertainty in Hardness Measurement. Discussion to measurement of uncertainties for measuring of hardnees on hardness measurement devices Rockwell – scale C. Berlín: Workshop EAL, 1995.
Kaarls, R., Kessel, W. Rewiew of the Use of Measurement Uncertainty in Calibration, Measurement and Testing Procedures. Eurolab Workshop and Seminar on Measurement Uncertainty in Testing. Barcelona: December 1992. |
Ludvík, V. Dokumenty mezinárodních organizací a způsob jejich zavádění do dokumentů ČR. Referát na semináři ČIA. Praha: 1996.
EAL – R2: Metodika vyjadřování nejistot měření při kalibracích. ALE – ČIA ČSNI, 1996.
Mádr, V.; Knejzlík, J.; Kopečný, J., Novotný, I. Fyzikální měření. SNTL, 1991.
TPM 0051-93: Stanovenie neistot při meraniach. 1. a 2. diel. Bratislava: ČSMU, 1993.
Barbato, G.; Germak, A. Uncertainty in Hardness Measurement. Discussion to measurement of uncertainties for measuring of hardnees on hardness measurement devices Rockwell – scale C. Berlín: Workshop EAL, 1995.
Kaarls, R., Kessel, W. Rewiew of the Use of Measurement Uncertainty in Calibration, Measurement and Testing Procedures. Eurolab Workshop and Seminar on Measurement Uncertainty in Testing. Barcelona: December 1992. |
| Recommended Reading: |
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ASME Code, Sect. II, Part A – Ferrous Material specifications, SA 370, Ed. 1995. BIPM/IEC/IFCC/ISO/IUPAC/OIML: Guide to the Expression of Uncertainty in Measurement, ISO, I. edition, 1993.
EQS – European Committee for Quality System Assessment and Certification, First Edition, Juni 1992.
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Palenčár, R. Neistoty v etalonáži a při meraniach. Sborník semináře Stanovenia neistot při meraniach. Tále: Združenie slovenských skúšobní, 1995.
Medviď, M. Hodnotenie chýb a výpočet kombinovanej neistoty. Sborník semináře Stanovenia neistot při meraniach. Tále: ZSS, 1995.
Palenčár, R. Neistoty stanovenia pevnoti v ťahu. Sborník semináře Stanovenia neistot při meraniach. Tále: ZSS, 1995.
Janovský, S. Certifikace zkušebního personálu ve zkušebnách. Část A – Pracoviště NDT. Informační podpora pro zkušebny č. 6, SČZL – RCQ. Ostrava: 1993.
ASME Code, Sect. II, Part A – Ferrous Material specifications, SA 370, Ed. 1995. BIPM/IEC/IFCC/ISO/IUPAC/OIML: Guide to the Expression of Uncertainty in Measurement, ISO, I. edition, 1993.
EQS – European Committee for Quality System Assessment and Certification, First Edition, Juni 1992. |
| Planned learning activities and teaching methods |
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| Lectures, Individual consultations |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Examination | Examination | | |