Model Order Reduction of a Human Body Vibration Model

Year 2025, Volume: 15 Issue: 2, 675 - 681, 01.06.2025

Murat Balcı , Ömer Gündoğdu

https://doi.org/10.21597/jist.1608350

Abstract

Biomechanical models of the human body are generally complex, and models of its behavior require writing and solving many differential equations. Instead of this time-consuming process, it is considered a more practical process to install smaller models that preserve the main behaviors of the system. In this study, instead of the human body model proposed by ISO 7962, a smaller model with an analytical solution has been proposed. While performing the desired model reduction, genetic algorithms were used and the parameters of the new system that replicated the behavior of the original system were created. Then, the behaviors of both the original system and the reduced-order system were compared graphically. Comparisons have shown that this small model can also be used in calculations and that very good results can be achieved on points such as low-frequency resonances.

Keywords

Model Reduction, Human Body Vibration, ISO 7962

İnsan Vücut Titreşim Modelinin Model İndirgenmesi

Abstract

İnsan vücudunun biyomekanik modelleri genellikle karmaşıktır ve davranışının modelleri birçok diferansiyel denklemin yazılmasını ve çözülmesini gerektirir. Zaman alan bu süreç yerine sistemin ana davranışlarını koruyan daha küçük modellerin kurulumu daha pratik bir süreç olarak değerlendirilmektedir. Bu çalışmada ISO 7962'nin önerdiği insan vücudu modeli yerine analitik çözümü olan daha küçük bir model önerilmiştir. İstenilen model indirgemesi yapılırken genetik algoritmalar kullanılmış ve orijinal sistemin davranışını kopyalayan yeni sistemin parametreleri oluşturulmuştur. Daha sonra hem orijinal sistemin hem de indirgenmiş sistemin davranışları grafiksel olarak karşılaştırılmıştır. Karşılaştırmalar indirgenen modelin hesaplamalarda da kullanılabileceğini ve düşük frekans rezonansları gibi noktalarda çok iyi sonuçlar alınabileceğini gösterdi.

Keywords

Model İndirgeme, İnsan Vücut Titreşimi, ISO 7962

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