Optimization and Mechanical Analysis of Trabecular Bone Drilling Using Response Surface Methodology (RSM) and Sobol Sensitivity Analysis (Sobol SA)

Document Type : Original Article

Authors

1 Department of Mechanical Engineering, Arak University of Technology, Arak, Iran

2 Department of mechanical engineering of Arak university of technology

10.61186/masm.2026.2089879.1190
Abstract
The process of drilling trabecular bone is one of the most challenging stages in orthopedic surgeries. An increase in cutting force during drilling may lead to thermal necrosis of the bone, infection, and tool failure. However, comprehensive studies on drilling trabecular (cancellous) bone—which plays a vital role in the structural and physiological integrity of the bone—are limited. In this study, in order to analyze the effects of machining parameters including spindle speed, feed rate, and drill diameter on cutting force during drilling, the Response Surface Methodology (RSM) with a Central Composite Design (CCD) was employed to develop second-order mathematical models, accompanied by quantitative sensitivity analysis based on the Sobol method. Analysis of variance (ANOVA) indicated that the proposed models exhibit high accuracy. According to the results, medium spindle speeds, smaller drill diameters, and higher feed rates reduce drilling forces. Sensitivity analysis using the Sobol method demonstrated that spindle speed (59.6%) is the most influential parameter governing the drilling force. These findings provide a solid foundation for developing robotic surgical systems with intelligent control of machining parameters and enhancing intraoperative safety.

Keywords



Articles in Press, Accepted Manuscript
Available Online from 13 July 2026

  • Receive Date 10 June 2026
  • Revise Date 11 July 2026
  • Accept Date 13 July 2026