
Fig. 1. Strain gauges are connected to a Wheatstone bridge circuit to give a voltage output that enables any deformation to be easily measured.
The output signal is given as a ratio between the voltage supply and the output voltage. It is calculated as follows:
Foil-type strain gauge transducers are the most accurate for determining mechanical quantities. At the same time they are the best choice to provide lowest uncertainties.
The principles of strain gauge operation are well established, meaning that full focus can be maintained on the measuring task.
Unlike many other pick-up principles, foil-type strain gauges can be built for nearly unlimited high nominal loads simply by scaling up the measuring body. Examples are force transducers in MN range, torque trasducers in MNm range and ultra-high pressure transducers in GPa range (7).
If at the same time dynamics are important, strain zones have to be designed as small as possible ensuring high stiffness (4)(5)(6).
In other applications, such as pressure transducers measuring hydrostatic pressure, there are more choices than for other mechanical quantities. Lower pressure applications, which account for the largest segment of this market, usually use capacitive or piezo-resistive MEMS solutions, especially for measurement of low pressures of a few bars. Overload resistance is particularly important for measuring high pressures that effectively excludes capacitive and piezo-resistive MEMS solutions – despite some progress with newer designs in recent years.
Figure 2 provides a comparison of the different types of strain gauge technologies and their suitability in pressure measurement from a number of different perspectives.
Figure 2: Comparison of different pressure measurement technologies (8)
Examining this table reveals that strain gauge based ultra-high pressure transducers are the primary choice for measurements where very high accuracy and long term stability are needed. This is especially relevant when comparing the results of various national metrology institutes in different counties (9).
It is possible to undertake a similar analysis of the different principles for every other measurable quantity. This is best when trying to design a measuring chain optimized for a particular measuring task since the selected pick-up principle is an important interface to the process or phenomena being investigated.
[1] Survey “World Emerging Sensors Markets”, Sensors & Instrumentation, No. M678-01, Frost and Sullivan, 23 Mar 2011, U.S.A.
[2] A. C. Ruge “Strain response apparatus” Patent application no. 2322319 to the United States Patent Office; 16. Sept. 1939, approved 22. June1943
[3] K. Hoffmann “An Introduction to Measurements using Strain Gauges” Publisher Hottinger Baldwin Messtechnik , Darmstadt, Germany
[4] A. Schäfer, “Analogy observation of force transducers compared to strain and pressure transducers based on foil type strain gauges and the piezoelectric principle“, Proceedings of Asia-Pacific Symposium on Measurement of Mass, Force and Torque, Tokyo, Japan, 2009
[5] A. Schäfer, “Force, strain and pressure transducers based on Foil Type strain gauges as well as the piezoelectric principle for the use in industrial applications” Proceedings of “Eurosensors 2008”, Dresden, Germany, 2008
[6] T. Kleckers “Force sensors based on strain gages and piezoelectric crystal-based force transducers in mechatronic systems — a comparison” Proceedings of "Sensor+Test" Conference, Nurnberg, 2011
[7] A. Schäfer, et al. “A new type of transducer for accurate and dynamic pressure measurement up to 15000 bar using foil type strain gauges”, XVII IMEKO World Congress 2003, Metrology in the 3rd Millennium, Dubrovnik, Croatia
[8] T. Kobata; W. Sabuga et al “Final Report on Supplementary Comparison APMP.M.P-S8 in Hydraulic Gauge Pressure from 100 MPa to 1000 MPa”, The Asia-Pacific Metrology Programme (APMP) and the European Association of National Metrology Institutes (EURAMET) 1000 MPa , Hydraulic pressure inter-laboratory comparation, 2010
[9] A. Schäfer “Answers to the need of higher orders of magnitude for pressure, force and torque measurement explained on the example of wind energy” IEEE I2MTC Conference, Mai 2012, Graz, Austria
[10] A. Schäfer, Examples and proposed solutions regarding the growing importance of calibration of high nominal forces IMEKO 2010 TC3, TC5 and TC22 Conferences, November 22-25, 2010, Pattaya, Chonburi, Thailand
[11] H. Gang, Z. Zhang and Y. Zhang „Internal Large Force Comparison in China”, Mechanics and Acoustics Division, National Institute of Metrology, Beijing, P. R. China, Proceedings of Asia-Pacific Symposium on Measurement of Mass, Force and Torque, Tokyo, Japan, 2009
[12] P.D. Hohmann and A. Schäfer, “Combined Calibration of Torque and Force in a 3 in 1 Calibration unit”, “APMF 2000”, Proceedings of Asia-Pacific Symposium on Measurement of Mass, Force and Torque, pp. 204, Tsukuba, Japan, 2000
This will bring together HBM, Brüel & Kjær, nCode, ReliaSoft, and Discom brands, helping you innovate faster for a cleaner, healthier, and more productive world.
This will bring together HBM, Brüel & Kjær, nCode, ReliaSoft, and Discom brands, helping you innovate faster for a cleaner, healthier, and more productive world.
This will bring together HBM, Brüel & Kjær, nCode, ReliaSoft, and Discom brands, helping you innovate faster for a cleaner, healthier, and more productive world.
This will bring together HBM, Brüel & Kjær, nCode, ReliaSoft, and Discom brands, helping you innovate faster for a cleaner, healthier, and more productive world.
This will bring together HBM, Brüel & Kjær, nCode, ReliaSoft, and Discom brands, helping you innovate faster for a cleaner, healthier, and more productive world.
This will bring together HBM, Brüel & Kjær, nCode, ReliaSoft, MicroStrain and Discom brands, helping you innovate faster for a cleaner, healthier, and more productive world.