Abstract
This paper discussed the finite element analysis (FEA)-based design considerations and its role in finding optimum location of sensing element in diaphragm-based force transducers. The design studies of two diaphragms made of two different materials steel (EN 24) and silicon are discussed as per the analytical expressions available and further validated using FEA for values of deflection, stress and strain of the spring element with appropriate location for fixing of strain gauges so as to get the optimum output in electrical units in mV/V against the applied force. The proposed analytical study in conjunction with finite element analysis shall be indispensable in design and development of diaphragm-based force traducers of optimum electrical output for different industrial applications and also could be used as force transfer standard to disseminate the measurement traceability chain in force measurements throughout the country. The metrological investigation revealed that the measurement uncertainty is 0.06% for steel force transducer and 0.22% for silicon diaphragm force transducer.
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Abbreviations
- F :
-
Force applied
- R :
-
Radius of plate
- E :
-
Elasticity modulus
- w :
-
Deflection of plate
- μ :
-
Poisson’s ratio
- Q :
-
Shear force
- δ :
-
Axial deflection of the diaphragm
- A :
-
Area of the plate
- D :
-
Flexure rigidity
- a :
-
Distance from the centre of sensor
- h :
-
Thickness of plate
References
H. Toshiyuki, K. Yoshihisa, U. Kazunaga, et al., Evaluation of tuning fork type force transducer as a transfer standard. Measurement. 41(2008) 941-949.
H. Kumar, C. Sharma, A. Kumar, P. K. Arora, S. Kumar, Design, development and metrological characterization of a low capacity precision industrial force transducer. ISA Trans. (2015). http://dx.doi.org/10.1016/j.isatra.2015.07.011.
J. H. Antkowiak and J. J. Rencis, Geometric nonlinearities in the design of force transducers. Adv. Eng. Softw. 21(1994) 11-16.
B. Chen, X. Wu and X. Peng. Finite element analysis of ring strain sensor. Sens. Actuators A Phys. 139(2007) 66-69.
M. Fisk, L. E-. Lindgren, W. Datchary and V. Deshmukh, Modelling of induction hardening in low alloy steels. Finite Elem. Anal. Des. 144(2018) 61-75.
A. Bray, Role of stress analysis in the design of force standard transducers. Exp. Mech. 21(1981) 1-20.
S. Yadav, A. Zafer, A. Kumar, N. D. Sharma and D. K. Aswal, Role of national pressure and vacuum metrology in Indian industrial growth and their global metrological equivalence. MAPAN-J. Metrol. Soc India. (2018). https://doi.org/10.1007/s12647-018-0270-8.
M. Amir Sohrabi, Anastasia H. Muliana and Arun R. Srinivasa, Controlling deformations of electro-active truss structures with nonlinear history-dependent response. Finite Elem. Anal. Des. 129(2017) 42-52.
R. Kumar, B. D. Pant and S. Maji, Development and characterization of a diaphragm-shaped force transducer for static force measurement. MAPAN-J. Metrol. Soc India (2018). https://doi.org/10.1007/s12647-017-0207-7.
Rajesh Kumar, Shanay Rab, B. D. Pant and S. Maji. Design, development and characterization of MEMS silicon diaphragm force sensor. Vacuum. 153(2018) 211-216.
S. Timoshenko and S. Woinowsky-Krieger, Theory of plates and shells, 2nd Edition, Tata McGraw Hill Education Private Limited, (2010).
W. Yun, X. Rongqiao and D. Haojiang (2010) Three-dimensional solution of axisymmetric bending of functionally graded circular plates. Compos. Struct. 92(2010), 1683-1693.
S. J. Wang, Overload protection design of silicon pressure sensor. Instrum. Tech. sens. 35(2010) 7-8.
S. M. Shaby, A. V. Juliet, Design and analysis of MEMS pressure sensor by using ANSYS, Proceedings of the 2nd international conference on mechanical, automotive and materials engineering (MAME’12), Bali (Indonesia), (2012) pp. 132-135.
L. B. Zhao, X. D. Fang, Y. L. Zhao, Z. D. Jiang and Y. Li, A high pressure sensor with circular diaphragm based on MEMS technology. Key Eng. Mater. 483(2011) 206-211.
K. K. Jain, S. K. Jain, J. K. Dhawan and Anil Kumar, Realization of force scale up to 50 kN through dead weight force. MAPAN-J. Metrol. Soc India. 20(2005) 249-257.
R. Kumar, H. Kumar, A. Kumar and Vikram. Long term uncertainty investigations of 1 MN force calibration machine at NPL, India (NPLI). Meas. Sci. Rev. 12(2012) 149-152.
ISO 376 – Metallic materials, Calibration of force proving instruments used for verification of uniaxial testing machines, International Standards Organization, Geneva, Switzerland (2011).
Bureau of Indian Standards, Method for calibration of force proving instruments used for the verification of uniaxial testing machines IS: 4169-1988 (re-affirmed 2003).
Acknowledgements
Authors are thankful to Director, CSIR-NPL and CSIR-CEERI, for their support and motivation. Authors are also grateful to the Head, Physico-Mechanical Division, and Head, Force & Hardness Standards, for their support to carry out this research work.
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Kumar, R., Rab, S., Pant, B.D. et al. FEA-Based Design Studies for Development of Diaphragm Force Transducers. MAPAN 34, 179–187 (2019). https://doi.org/10.1007/s12647-018-0292-2
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DOI: https://doi.org/10.1007/s12647-018-0292-2