Multi-performance optimization of bone drilling using Taguchi method based on membership function

• Effect of speed and feed on bone drilling temperature and force is studied.
• Optimal level of drilling parameters is determined for minimum temperature and force.
• The proposed algorithm modifies Taguchi method for multi objective optimization.
• Membership function eliminates the problem of weight assignment to each response.

In orthopaedic surgery, the thermal and mechanical invasion caused to the bone cells due to drilling can result in their damage or even death, leading to the loosening of the fixation and increase in healing time postoperatively. This article presents a hybrid algorithm (Taguchi combined with membership function) for the optimization of bone drilling process with multiple performance characteristics to minimize the drilling induced bone tissue damage. Taguchi method is a powerful optimization tool designed for the optimization of single performance characteristics, but most of the real engineering problems demands for multiple objective optimization. Therefore, a simple modification is incorporated in Taguchi method based on membership function to convert the optimization of the complex multiple performance characteristics into a single signal to noise as the performance index. Bone drilling investigations are carried out on bovine bone with spindle speed and feed rate as drilling parameters. The objective function is the simultaneous minimization of drilling temperature and thrust force. Analysis of variance (ANOVA) is employed to find out the effect of each parameter on the multiple performance signal to noise ratio. The effectiveness of the above approach is validated by the confirmation experiment.