人工髖關節的接觸力學與振動分析

Contact Mechanics and Vibration Analysis of Artificial Hip Joint

魏子瑄(Wei, Tzu-Hsaun) ； 蕭德慶(Hsiao, Te-Ching) ； 黃世疇(Huang, Shyh-Chour)

《高雄應用科技大學工程科技學刊》 2卷1期 (2016/06) Pp. 53-66

https://doi.org/10.6553/JKTUET.2016.0201.06

摘要

人工髖關節置換手術為臺灣近十年間成熟且施行率高之外科手術之一，病患經由人工髖關節置換手術的再造，將原來失去功能的髖關節由人工髖關節替代，藉以消除疼痛且恢復正常的關節活動功能。本研究發現近十年內以人工髖關節為分析對象之接觸碰撞數學模型，通常探討接觸力及穿透深度的影響時大多是獨立討論各因子對結果的影響，而缺乏同時考慮數個因子時各因子的重要性。本文先藉由田口方法設計欲分析因子的配置組合，並以各組分析結果製作變異數分析表得到髖臼杯尺寸、關節間隙、楊氏係數與蒲松比、恢復係數與碰撞初速共五個因子對接觸碰撞模型的影響度，影響度依序為楊氏係數與蒲松比46.22%，碰撞初速40.30%，接著是關節間隙8.14 mm、關節間隙30 μm、陶瓷材質、恢復係數0.9 及碰撞初速0.6 m/s，最後將步態週期的數據作為最佳配置模64%、髖臼杯尺寸1.83%。接著搭配模糊邏輯理論，同時考慮接觸力及穿透深度得到因子最佳配置為髖臼杯半徑型的負載，在ANSYS 有限元素分析軟體中利用簡諧響應分析確認前述分析出的最佳配置不會有鬆脫的疑慮。

關鍵字

全人工髖關節 ； 接觸碰撞力學模型 ； 田口方法 ； 振動分析

並列摘要

Total hip arthroplasty is one of the most successful and highest capable rate surgery in Taiwan in the past ten years. By total hip arthroplasty, patients replace the painful and functionless hip with hip endoprosthesis system and return to everyday activities. The influence of modal's parameters on contact force and penetration depth in most of literatures which concern contact-impact modal of hip arthroplasty only show the tendency of the parameters. For the concrete value of the parameters, we use the analysis of variance to get the influence degree of the parameters of the contact-impact modal. The influence degree are Young's modulus and Poisson's ratio 46.22%, initial relative contact velocity 40.30%, joint clearance 8.64%, and shell size 1.83%. Then, we combined Taguchi method and fuzzy theory to find the best combination of these parameters. It is shell size 14mm, joint clearance 30μm, ceramic material, restitution coefficient 0.9, and initial relative contact velocity 0.6m/s. Finally, we use gait instances data on harmonic response analysis to make sure that our best combination modal won't loosen.

並列關鍵字

hip arthroplasty ； contact-impact modal ； taguchi method ； vibration analysis