# A statistical analysis of high-performance prosthetic isogrid composite tubes using response surface method

Matheus Francisco (Mechanical Engineering Institute, Federal University of Itajubá – UNIFEI, Itajuba, Brazil)
Lucas Roque (Mechanical Engineering Institute, Federal University of Itajubá – UNIFEI, Itajuba, Brazil)
João Pereira (Mechanical Engineering Institute, Federal University of Itajubá – UNIFEI, Itajuba, Brazil)
Susiane Machado (Mechanical Engineering Institute, Federal University of Itajubá – UNIFEI, Itajuba, Brazil)
Sebastião Simões da Cunha Jr (Mechanical Engineering Institute, Federal University of Itajubá – UNIFEI, Itajuba, Brazil)
Guilherme Ferreira Gomes (Mechanical Engineering Institute, Federal University of Itajubá – UNIFEI, Itajuba, Brazil)

ISSN: 0264-4401

Article publication date: 26 November 2020

Issue publication date: 9 July 2021

191

## Abstract

### Purpose

This study aims to address a deep statistical analysis on transtibial prostheses made of composite isogrid carbon/epoxy structure.

### Design/methodology/approach

For the methodological procedure, an experimental arrangement was created using design of experiments, and the response surface methodology (RSM) was used. The RSM was obtained from the decision variables of the isogrid model, which consists of angle, circular width and helical width. All modeling was performed numerically using the finite element method.

### Findings

Results obtained through analysis of variance (ANOVA) indicated the sensitivity of each decision variable (manufacture) in the mechanical responses. The results obtained in this study provide a starting point in formulating optimization problems for researchers and engineers.

### Originality/value

A noteworthy thing about structural analysis and structural optimization is that some parameters and decision variables are more significant than others in certain responses (Major et al., 2011). Knowing the sensitivity of these parameters is essential for the correct formulation of an optimization problem. To handle these obstacles, design of experiments and ANOVA are used to solve and obtain the main effects on the structural performance. Nevertheless, to the best of the authors’ knowledge, very few efforts have been devoted to the development to show the factors that influence the various responses of a lower limb prosthesis isogrid tube.

## Acknowledgements

The authors would like to acknowledge the financial support from the Brazilian agency CNPq (Conselho Nacional de Desenvolvimento Cientifico e Tecnológico Grant 431219/2018–4), CAPES (Coordenação de Aperfeiçoamento de Pessoal de Nível Superior) and FAPEMIG (Fundação de Amparo à Pesquisa do Estado de Minas Gerais – Grant APQ-00385–18). The authors would also like to acknowledge Mechanical Engineering Tutorial Education Program (PET-UNIFEI).

Conflict of interest: The authors declare that they have no conflict of interest.

## Citation

Francisco, M., Roque, L., Pereira, J., Machado, S., da Cunha Jr, S.S. and Gomes, G.F. (2021), "A statistical analysis of high-performance prosthetic isogrid composite tubes using response surface method", Engineering Computations, Vol. 38 No. 6, pp. 2481-2504. https://doi.org/10.1108/EC-04-2020-0222

## Publisher

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Emerald Publishing Limited