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Mathematical Approach on Chipping Volume Estimation Generated During Rotary Ultrasonic Drilling for Float Glass

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Abstract

The present paper presented a mathematical approach based upon Buckingham pi theorem to estimate the volume of chipping while creating holes by rotary ultrasonic drilling on float glass specimen. The experimental validation is also carried out by performing L9 designed experimental trials at various combinations of drilling parameters. Coordinate measuring machine technique has been deployed to precisely quantify the chipping volume. The microscopic portray is used for chipping assessment. The result shows that the mathematical dimensional analysis is having good conformity with the experimental values. The minimum volume of chipping reported at the optimized parametric combination 4.73 mm3. It is figure out that the spindle speed and feed rate are showing similar trend in experimental and theoretical results. Hence, to enhance the utility of float glass, the researcher’s prime focus is to overcome the propagation of chipping nearby corners of the drilled glass. Drilling of brittle material such as float glass is noteworthy study to investigate. Hence using rotary ultrasonic drilling; float glass is drilled, and the chipping produced at hole edge corners is estimated in form of chipping volume. Also, Buckingham pi theorem mathematical-based model is proposed for chipping volume evaluation.

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Authors and Affiliations

  1. Chitkara College of Applied Engineering, Chitkara University, Punjab, India

    Ankit Sharma

  2. Department of Mechanical Engineering, Thapar Institute of Engineering & Technology, Patiala, India

    Vivek Jain & Dheeraj Gupta

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  1. Ankit Sharma
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  2. Vivek Jain
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  3. Dheeraj Gupta
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Correspondence to Ankit Sharma.

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Sharma, A., Jain, V. & Gupta, D. Mathematical Approach on Chipping Volume Estimation Generated During Rotary Ultrasonic Drilling for Float Glass. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 92, 285–291 (2022). https://doi.org/10.1007/s40010-021-00732-1

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  • DOI: https://doi.org/10.1007/s40010-021-00732-1

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