Multi-response design optimisation of convolution stresses of metal bellows using integrated PCA-GRA approach

ABSTRACT

This paper presents the parametric design optimisation of the bellows multi-response convolution stresses using multiple attribute decision making (MADM) technique. Grey Relational Analysis (GRA) in conjunction with Principal Components Analysis (PCA) has been employed to find a single response grade (PCA-GRG). Experimental stress analysis was carried out using L₂₅ Taguchi orthogonal array (OA) by considering the design parameters, namely, ply thickness (t_p), convolution height (H),convolution pitch (q), and bellows pitch diameter (d_p). Analysis of variance (ANOVA) has been implemented to identify the most influenced significant design parameters and optimal design level settings using PCA-GRG. Confirmation test was conducted which proves the improvement in GRG by 0.042 (25.30%) over the initial setting of the factors. Further, multiple regression mathematical models were developed to find the best alternate optimal solutions and verified it by comparing with experimental GRG and Taguchi predictions. Alternate optimal solution signifies the improvement in PCA-GRG over the initial parameter setting from 13.04% to 32.6%, which directs the extensive reduction in the stresses. This verification proves the potential of the integrated PCA-GRG approach for the multi-response parametric optimisation of the convolution stresses.

KEYWORDS:

• Convolution stresses
• expansion bellows
• grey relational analysis
• parametric design
• principal component analysis
• regression analysis
• Taguchi method

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

N. D. Pagar

N. D. Pagar has obtained his Bachelor’s in Mechanical Engineering from Government College of Engineering, Aurangabad, Master’s in Design Engineering from Pune University and currently persuing PhD from Department of Technology, SPPU, Pune. He has about 13 years of teaching experience and 3 years industrial experience. His area of interest includes structural and dynamic analysis, tribology and multi attributed parametric optimisation.He is permanent member of ISTE and Indian Institute of Metals (IIM).

S. H. Gawande

S. H. Gawande completed Bachelors degree in Mechanical Engineering from Amravati University, Amravati in 2001 & Masters degree in Mechanical Engineering with Design Engineering as specialisation in 2002 from University of Pune. He completed PhD in Mechanical Engineering from Government College of Engineering, Pune, (COEP) under University of Pune in 2012. Now he is working as professor in mechanical engineering at M. E. Society’s College of Engineering Pune-411001, India from 2004. His area of interest is internal combustion engines, design engineering, tribology and vibration control. He is permanent member of Indian society ISTE from 2005, IACSIT Singapore from 2009 and SAE from 2008.