在参数不确定性下,评估膝盖与接触代孕的混合模型的行为
Adam Ciszkiewicz1, Łukasz Mazurkiewicz2, Jerzy Małachowski2
1Faculty of Mechanical Engineering, Cracow University of Technology, Cracow, Poland.
概括
这项研究通过引入接触力学的多项式混乱扩张替代品来增强膝关节关节建模. 新模型显示了高精度,但强调了接触配方对膝盖生物力学模拟的重大影响.
科学领域:
- 生物力学 生物力学
- 计算力学是计算力学.
- 医学建模医学建模
背景情况:
- 膝关节建模对于改善健康人和患者的生活质量至关重要.
- 膝盖生物力学的复杂性在准确的建模中提出了重大挑战.
- 已建立的平面膝关节模型经常使用赫兹接触对,这可能会过度简化复杂的相互作用.
研究的目的:
- 建议扩展已建立的平面膝关节关节模型.
- 使用多项式混沌扩张替代体来结合先进的接触力学.
- 在参数不确定性下调查接触配方对膝盖模型输出的影响.
主要方法:
- 开发了一个带有软骨和骨层的球与平面接触对的有限元素 (FE) 模型.
- 使用五个参数 (几何和材料) 通过近似蒙特卡洛序列创建128个模型变体.
- 该数据集被用来训练和验证一个多项式混沌扩展替代模型.
主要成果:
- 经过训练的代孕体表现出高的预测准确性,在测试/列车分割中,平均正常化根-平方平均误差 (nRMSE) 为0.2%.
- 当被整合到膝盖模型中并接受蒙特卡洛模拟时,与赫兹对模型相比,替代物对角坐标产生了58%的nRMSE.
- 这表明接触配方对整体模型的预测性能有很大的影响.
结论:
- 拟议的替代模型显示了接触力学的优秀预测能力.
- 膝盖模型输出中的显著差异突显了像赫兹对这样的简化接触配方的局限性.
- 在膝盖生物力学研究中,显然需要更具物理基础和更准确的接触模型.
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