Introduction to Metrology

Metrology is the field of knowledge concerned with measurement and includes both theoretical and practical problems with reference to measurement, whatever their level of accuracy and in whatever fields of science and technology they occur.

It is the science concerned with establishment, reproduction, conversion and transfer of units of measurements and their standards.

Measurement

The process of experimentally obtaining quantity values that can reasonably be attributed to property of a body or a substance is called measurement. It is the process of determining or finding the size, quantity or degree of something by means of measuring instruments which describes the object of measurement. Physical measurement is the act of deriving quantitative information about a physical object by comparison with a reference.

Scope of metrology

    1.     Scientific measurement

Establishing and maintaining standards for units of measurement such as length, mass, time and temperature which are essential for scientific research and experimentation.

    2.     Industrial measurement

Ensuring accuracy and precision in manufacturing process, quality control and calibration of instruments used in production. It includes measuring dimension tolerances and performance of component.

    3.     Engineering

Various measurement techniques are applied to design, test and validate engineering system and components. This includes everything from structural measurement to calibration of sensors and control systems.

    4.     Legal Metrology

Ensuring fairness and accuracy in trade, commerce and legal applications. It involves regulation and verification of measurement instruments used in transactions like scales.

    5.     Error Management

It involves detecting, analyzing and correcting measurement errors by assessing sources of error, quantifying uncertainty, calibrating instruments and improving measurement techniques to ensure accuracy and reliability in measurements.

Objectives of Metrology

1. To completely evaluate the newly developed products.

2. To determine the process capabilities and ensure that these are better than relevant component tolerances.

3. To determine the measuring devices capabilities and ensure that they are adequate for their respective measurements.

4. To minimize the cost of inspection.

5. To reduce the costs of rejects and rework through application of statistical quality control techniques.

6. To standardize the measuring methods.

7. To maintain accuracies of measurement by periodic calibration of instruments.

Functions of Legal Metrology

    1.     Standards Development

Formulating and updating national standards for products, services and processes to ensure quality, safety and efficiency. It involves adopting and adapting international standards to local needs.

    2.     Metrological Services

Providing calibration and testing services to ensure the accuracy of measurement and instruments. It provides technical support and expertise to industries and organization on measurement practices.

    3.     Quality Assurance

It manages the processes that ensure products and services meet established standards. It operates the product certification mark and quality assurance protects consumers from unsafe products.

    4.     Consumer Protection

It safeguards customer by ensuring that products and services meet quality standards. It seeks to protect the public against inaccuracy in trade. It involves handling complaints and taking actions.

    5.     Public Awareness

It educates the public and businesses about the importance of standards and accurate measurements and promoting the benefits of using established standards.

Dynamic Metrology

It is the technique of measuring small variations of a continuous nature. It consider dynamic quantity which are continuous functions of time i.e. its value at one time instant depends on its values at previous time instant. The mathematical modeling of dynamic measurements typically utilizes methodologies and concepts from digital signal processing.

Examples: measurement of high-speed electronics, medical ultrasound, mechanical quantities, etc.

Deterministic Metrology

It is a new philosophy in which part measurement is replaced by process measurement. In it, full advantage is taken of the deterministic nature of production machines. System process are monitored by temperature, pressure, flow, force, vibrations, etc. This technology is adopted in very high precision manufacturing machinery and control systems to accomplish micro technology and nanotechnology accuracies.

Examples: 3D error compensation by CNC systems and expert systems, leading to full adaptive control.

Necessity and Importance of Metrology

   1. In design engineering, the specifies dimensions of the designs should be checked or measured.

  2. Higher productivity and accuracy can be achieved by proper understanding of metrology.

   3. One can improve the measuring accuracy and dimensional and geometrical accuracy of the product.

    4. Proper gauges should be designed and used for rapid and effective inspection.

    5. Automatic control and automations are based on metrology.

Process of Measurement

Measurand: It is the physical quantity or property like length, angle, etc to be measured.

Reference: It is the physical quantity or property to which quantitative comparisons are made.

Comparator: It is the means of comparing measurand with some reference.

Units of Measurement 

A unit of measurement is a standardized quantity used to express a physical quantity. Units are essential for communication, trade, science, engineering and everyday life. International system of units is the coherent system of units adopted and recommended by the General Conference of Weights and Measures in 1960.
Fundamental units are metre, kilogram, second, ampere, Kelvin, mole and candela.

Methods of Measurement

    1.     Direct Method

This is the simple method of measurement, in which the value of the quantity to be measured is obtained directly without the calculations. Examples: measurements by scale, caliper and micrometers.

    2.     Indirect Method

In this method, the value of the quantity to be measured is obtained by measuring other quantities, which are functionally related to required value. Example: angle measurement by sine bar.

    3.     Absolute or Fundamental Method

Measuring a quantity directly in accordance with the definition of that quantity. Example: force and area are measured for pressure measurement.

    4.     Comparative Method

In this method, the value of quantity to be measured is compared with the known value of the same quantity or other quantity practically related to it. So in it, only deviation from the master gauge is determined. Example: calibration of the vernier caliper using standard slip gauge.

    5.     Coincidence Method

It is a differential method of measurement in which a very small difference between value of the quantity to be measured and the reference is determined by the observation of the coincidence of certain lines/signals. Example: measurement using vernier caliper, micrometer.

    6.     Complementary Method

In this method, value of quantity to be measured is combined with a known value of the same quantity. The combination is so adjusted that these two values is equal to predetermined comparison value. Example: volume of solid by liquid displacement.

    7.     Deflection Method

In this method, value of the quantity to be measured is directly indicated by the deflection of a pointer on the calibrated scale. Example: dial indicator

8. Transportation Method

It is a method of measurement by direct comparison in which the value of the quantity measured is first balanced by an initial known value A of the same quantity, and then the value of the quantity measured is put in place of this known value and is balanced again by another known value B. If the position of the element indicating equilibrium is the same in both cases, the value of the quantity to be measured is √AB . For example, determination of a mass by means of a balance and known weights, using the Gauss double weighing method.

9.   Contact Method

In this method the sensor or measuring tip of the instrument actually touches the surface to be measured. e.g., measurements by micrometer, vernier caliper, dial indicators etc. In such cases arrangement for constant contact pressure should be provided to prevent errors due to excessive contact pressure.

10. Contactless Method

In contactless method of measurement, there is no direct contact with the surface to be measured. e.g., measurement by optical instruments, such as tool makers microscope, projection comparator etc.

11.  Null Method

In this method the quantity to be measured is compared with a known source and the differences between these two is made zero. E.g., measurement by potentiometer.

Accuracy

Accuracy is defined as the closeness of the measured value with true or accepted value. It can be defined as the degree to which the measures value agrees with the true value. It is the closeness of agreement between a test result and the accepted reference value.

Precision

It is the measure of how close repeated trials are to each other. It is repeatability of the measuring process. It refers to the group of measurements for the same characteristics taken under identical conditions. If the instrument is not precise, it will give different results for the same dimension when measured again and again.

Differences between Accuracy and Precision

Repeatability

It is the ability of the measuring instrument to repeat the same results for the measurements for the same quantity, when the measurements are carried out:

·       by the same observer/operator,

·       with the same instrument,

·       under the same conditions,

·       without any change in location,

·       without change in the method of measurement,

·       and the measurements are carried out in short intervals of time.

Repeatability conditions are where independent test results are obtained with the same method on identical test items in the same laboratory by the same operator using the same equipment within short intervals of time.

Reproducibility

It is the consistency of pattern of variability in measurement i.e., closeness of the agreement between the results of measurements of the same quantity, when individual measurements are carried out:

·       by different observer/operator,

·       By different method,

·       Using different instruments,

·       Under different conditions, locations, times etc.

It may also be expressed quantitatively in terms of dispersion of the results. Reproducibility is a precision under reproducibility conditions.

Differences between Repeatability and Reproducibility

Sensitivity

It refers to the ability of measuring device to detect small differences in a quantity being measured. In other words, sensitivity denotes the maximum change in an input signal that will not initiate a response on the output. It may be defined as the rate of displacement of the indicating device of an instrument, with respect to the measured quantity. In other words, sensitivity of an instrument is the ratio of the scale spacing to the scale division value.

·       the smallest change in the signal that can be detected.

Resolution

It is the smallest change of the measured quantity which changes the indication of a measuring instrument.

·       the smallest portion of the signal that can be observed

Differences between Sensitivity and Resolution

Stability

It refers to the ability of a measuring instrument to constantly maintain its metrological characteristics with time.

Readability

 It refers to the ease with which the readings of the measuring instrument can be read It is the susceptibility of the measuring device to have its indicators converted into meaningful numbers. If the graduation lines are very finely spaced, the scale will be more readable by using a microscope, but the readability will be poor with the naked eye.

Magnification

It is the process of enlarging something only in appearance, not in physical size so that it is readable.

Drift

It is an undesirable deviation of the instrument output over a period of time that is unrelated to changes in input operating conditions of load.

Threshold

The minimum value below which no output change can be detected when the input of an instrument is increased gradually from zero is called the threshold of the instrument.

Hysteresis

It is the difference between the indications of a measuring instrument when the same value of measured quantity is reached by increasing or decreasing that quantity. It is caused by friction, slack motion in the bearing and gears, elastic deformation, magnetic and thermal effects.

Calibration

It is a set of operations that establish, under specified conditions, the relationship between values of quantities indicated by a measuring instrument or values represented by a material measure and the corresponding values realized by standards. The result of a calibration may be recorded in a document, e.g., a calibration certificate. The result can be expressed as corrections with respect to the indications of the instrument.












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