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.

本文提出了一种基于白金汉pi定理的数学方法，用于估计在浮法玻璃试样上通过旋转超声钻孔产生孔洞时碎屑的体积。还可以通过在各种钻井参数组合下执行L9设计的实验试验来进行实验验证。已采用坐标测量机技术来精确量化切屑体积。微观刻画用于碎裂评估。结果表明，数学尺寸分析与实验值具有很好的一致性。在优化的参数组合下报告的最小碎屑量4.73 mm ³。结果表明，主轴转速和进给速度在实验和理论结果中都显示出相似的趋势。因此，为了提高浮法玻璃的实用性，研究人员的主要重点是克服钻孔玻璃附近拐角处碎裂的蔓延。钻研浮法玻璃等脆性材料值得研究。因此使用旋转超声波钻孔；在浮法玻璃上钻孔，并以切屑体积的形式估算孔边缘拐角处产生的切屑。同时，提出了基于白金汉π定理的数学模型来进行切屑体积评估。