Dimension Optimization of Polycentric Knee Mechanism Using The Bees Algorithm and Genetic Algorithm

Abstract

: In knee prostheses, the curve of the instantaneous center of rotation (ICR) and, therefore, stability of the prothesis are the most important parameters to be considered. The ICR curve depends on many parameters. One of them and the most effective one is the dimensions of four bar mechanism. In polycentric knee mechanisms, it has become inevitable to use optimization techniques while determining the dimensions of the mechanism for the stability of the prosthesis in the stance position. In this study, definitions of knee prostheses and polycentric knee mechanisms are given, optimization studies written in this field are mentioned thorough literature research. The study aims to find mechanism dimensions that gives ICR curve close to the reference curve by optimizing the mechanism dimensions of four-bar knee mechanisms. The Bees Algorithm and Genetic Algorithm (GA) were used for this purpose. The limits and objective function for the optimization were determined, and after many trials, separate mechanism dimensions with The Bees Algorithm and the Genetic Algorithm are obtained. By comparing the results, it has been observed that the dimensions obtained by The Bees Algorithm produced a better approximation to the reference instantaneous center of rotation curve.

Keywords

• Knee Prosthesis
• Polycentric Knee
• Four-Bar Mechanism
• Lower-Limb Prosthesis
• Voluntary Control
• Instantaneous Center of Rotation

Dört Çubuk Mekanizmalı Diz Protezlerinin Arı Algoritması ve Genetik Algoritma ile Boyut Optimizasyonu

Öz

Diz protezlerinde kullanılan dört çubuk mekanizmalarda duruş durumunda ani dönme merkezi koordinatları ve buna bağlı olarak amputenin dengesi dikkat edilmesi gereken en önemli parametredir. Ani dönme merkezi eğrisi birçok parametreye bağlıdır. Bunların arasından dikkat edilmesi gereken en önemli parametrelerden biri de mekanizmanın boyutlarından geçmektedir. Dört çubuk mekanizmasının kullanıldığı diz protezlerinde duruş konumunda amputenin dengede olması için mekanizmanın boyutları belirlenirken optimizasyon tekniklerinin kullanılması kaçınılmaz bir hal almıştır. Bu çalışmada, diz protezleri ve diz protezlerinde kullanılan dört çubuk mekanizmaları hakkında tanımlamalar verilmiş, literatür araştırması yaparak bu alanda yazılan optimizasyon çalışmalarından bahsedilmiştir. Yapılan çalışma, diz protezlerinde kullanılan dört çubuk mekanizmanın sentezini yaparak referans ani dönme merkezi eğrisine yakın mekanizma boyutları bulmayı amaçlamaktadır. Mekanizma boyutları için Arı Algoritması ve Genetik Algoritma kullanılmıştır. Optimizasyon için gerekli sınırlar ve amaç fonksiyonu belirlenmiş, birçok deneme sonrası Arı Algoritması ve Genetik Algoritma için ayrı ayrı mekanizma boyutları elde edilmiştir. Elde edilen sonuçlar karşılaştırılmış ve Arı Algoritmasının referans ani dönme merkezi eğrisine daha iyi yakınlaşan mekanizma boyutları verdiği görülmüştür.

Anahtar Kelimeler

• Diz Protezleri
• Çok Merkezli Diz Mekanizması
• Dört Çubuk Mekanizması
• Arı Algoritması
• Genetik Algoritma
• Ani Dönme Merkezi

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