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Published byMarjory Jordan Modified over 9 years ago
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LECTURER PROF.Dr. DEMIR BAYKA AUTOMOTIVE ENGINEERING LABORATORY I
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FUNDAMENTAL CONCEPTS IN MEASUREMENT AND EXPERIMENTATION
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MEASUREMENT ERRORS AND UNCERTAINTY
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THE “ERROR” IN A MEASUREMENT IS THE DIFFERENCE BETWEEN THE MEASURED VALUE AND THE TRUE VALUE OF THE “MEASURAND”
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SINCE THE TRUE VALUE IS UNKNOWN THE DIFFERENCE BETWEEN THE TRUE VALUE AND MEASURED VALUE CAN ONLY BE ESTIMATED
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THE ESTIMATION OF THE DIFFERENCE BETWEEN THE TRUE VALUE AND THE MEASURED VALUE IS CALLED UNCERTAINTY
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TYPES OF ERRORS 1. GROSS ERRORS 2. SYSTEMATIC (FIXED) ERRORS (BIAS) 3. RANDOM ERRORS
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1. GROSS ERRORS LARGELY HUMAN ERRORS DUE TO MISREADING INSTRUMENTS INCORRECT ADJUSTMENT OR IMPROPER USE OF INSTRUMENTS COMPUTATIONAL MISTAKES
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2. SYSTEMATIC (FIXED) ERRORS (BIAS) THESE ERRORS ARE DUE TO INSTRUMENTS OR THEIR ENVIRONMENTS
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TYPICAL INSTRUMENT CHARACTERISTICS WHICH LEAD TO SYSTEMATIC ERRORS ARE FRICTION IRREGULAR SPRING TENSION IMPROPER CALIBRATION
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TYPICAL ENVIRONMENTAL BASED SYSTEMATIC ERRORS ARE EFFECT OF CHANGES IN SURROUNDING TEMPERATURE HUMIDITY BAROMETRIC PRESSURE MAGNETIC OR ELECTRICAL FIELDS
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ENVIRONMENTAL BASED SYSTEMATIC ERRORS CAN BE MINIMISED BY PROPER CONDITIONING OF THE ENVIRONMENT ISOLATING OR SHIELDING
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IN GENERAL SYSTEMATIC ERRORS CAN BE OVERCOME BY APPLYING CORRECTION FACTORS AFTER DETERMINING THE AMOUNT OF ERROR BY CALIBRATING THE INSTRUMENTS OR
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EXAMPLE : A THERMOMETER IS CALIBRATED AND THUS MARKED AT THE FACTORY. THIS CALIBRATION MAY BE DONE BY EITHER FULLY OR PARTIALLY IMMERSING THE THERMOMETER INTO THE CALIBRATION ENVIRONMENT. IF A FULL IMMERSION THERMOMETER (ROOM THERMOMETER) IS PARTIALLY IMMERSED IN A FLUID THEN A STEM CORRECTION WILL BE NECESSARY
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3. RANDOM ERRORS THESE ERRORS ARE MOSTLY DUE TO UNKNOWN AND RANDOMLY OCCURRING CAUSES THEY ARE DIFFICULT TO DETERMINE AND PREDICT THEY ARE DEALT WITH BY STATISTICAL METHODS
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CALIBRATION BY CALIBRATION THE STATIC RESPONSE OF AN INSTRUMENT IS DETERMINED DURING CALIBRATION ALL INPUTS TO THE MEASUREMENT SYSTEM ARE KEPT CONSTANT EXCEPT THE MEASURAND WHICH IS VARIED IN A CONTROLLED MANNER
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CALIBRATION A CALIBRATION STANDARD SHOULD, IF POSSIBLE, BE ABOUT 10 TIMES MORE ACCURATE THAN THE INSTRUMENT BEING CALIBRATED
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ACCURACY DEGREE OF CLOSENESS OF MEASUREMENTS TO THE TRUE VALUE OF THE MEASURAND ACCURACY IS DETERMINED BY COMPARISON WITH CALIBRATED VALUES
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ACCURACY THE ACCURACY OF AN INSTRUMENT IS EXPRESSED AS : *ABSOLUTE ACCURACY *RELATIVE ACCURACY RELATIVE ACCURACY IS DEFINED WITH RESPECT TO *ACTUAL READING *FULL SCALE READING OF THE INSTRUMENT
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PRECISION (REPEATABILITY) THIS IS THE DEGREE OF AGREEMENT BETWEEN REPEATED MEASUREMENTS
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ACCURACY AND PRECISION
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RESOLUTION IS A MEASURE OF THE SMALLEST CHANGE IN THE INPUT SIGNAL THAT THE MEASUREMENT SYSTEM CAN DETECT
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THRESHOLD STARTING FROM INPUT SIGNAL EQUAL TO ZERO, IF THIS SIGNAL IS SLOWLY INCREASED, THERE WILL BE SOME MINIMUM SIGNAL LEVEL BELOW WHICH NO OUTPUT CHANGE CAN BE DETECTED
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HYSTERESIS STARTING FROM ZERO INPUT, IF A SIGNAL IS SLOWLY INCREASED UP TO A CERTAIN VALUE AND THEN REDUCED SLOWLY DOWN AGAIN THEN HYSTERESIS IS THE CHANGE IN THE RESPONSE OF THE MEASUREMENT SYSTEM
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HYSTERESIS
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SPAN THIS IS NORMALLY ACCEPTED AS THE INPUT SIGNAL RANGE THAT THE MEASUREMENT SYSTEM WILL MEASURE. EXAMPLE THERMOMETERS USED BY DOCTORS HAVE A SPAN OF 7 C RANGING FROM 35 C TO 42 C
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DYNAMIC RANGE THIS IS THE SPAN OF AN INSTRUMENT EXPRESSED IN TERMS OF RATIO OF THE HIGHEST AND LOWEST VALUES OF THE MEASURAND.
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SENSITIVITY THE SENSITIVITY OF AN INSTRUMENT IS THE RATIO OF THE LINEAR MOVEMENT OF THE OUTPUT TO THE CHANGE IN THE MEASURED VARIABLE qiqi qoqo
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SENSITIVITY
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ZERO DRIFT AND SENSITIVITY DRIFT THIS IS A VARIATION IN THE OUTPUT OF A MEASUREMENT DEVICE WHICH IS NOT CAUSED BY ANY CHANGES IN THE INPUT SIGNAL THIS IS USUALLY CONSIDERED SEPARATE FROM THE DRIFT RESULTING FROM VARIATIONS IN AMBIENT TEMPERATURE
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ZERO DRIFT AND SENSITIVITY DRIFT
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LINEARITY IF AN INSTRUMENT IS SUPPOSED TO BE LINEAR, THE LINEARITY GIVES THE INDICATION OF THE MAXIMUM DEVIATION OF ANY CALIBRATION POINTS USUALLY FROM A LEAST SQUARES BEST STRAIGHT LINE FIT THROUGH THE CALIBRATION DATA
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LINEARITY
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INDEPENDENT LINEARITY
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PROPORTIONAL LINEARITY
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