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参数化有限元人体股骨模型的验证

Validation of a parametric finite element human femur model.

作者信息

Klein Katelyn F, Hu Jingwen, Reed Matthew P, Schneider Lawrence W, Rupp Jonathan D

机构信息

a University of Michigan Transportation Research Institute , Ann Arbor , Michigan.

b Department of Mechanical Engineering , University of Michigan , Ann Arbor , Michigan.

出版信息

Traffic Inj Prev. 2017 May 19;18(4):420-426. doi: 10.1080/15389588.2016.1269172. Epub 2017 Jan 17.

Abstract

OBJECTIVE

Finite element (FE) models with geometry and material properties that are parametric with subject descriptors, such as age and body shape/size, are being developed to incorporate population variability into crash simulations. However, the validation methods currently being used with these parametric models do not assess whether model predictions are reasonable in the space over which the model is intended to be used. This study presents a parametric model of the femur and applies a unique validation paradigm to this parametric femur model that characterizes whether model predictions reproduce experimentally observed trends.

METHODS

FE models of male and female femurs with geometries that are parametric with age, femur length, and body mass index (BMI) were developed based on existing statistical models that predict femur geometry. These parametric FE femur models were validated by comparing responses from combined loading tests of femoral shafts to simulation results from FE models of the corresponding femoral shafts whose geometry was predicted using the associated age, femur length, and BMI. The effects of subject variables on model responses were also compared with trends in the experimental data set by fitting similarly parameterized statistical models to both the results of the experimental data and the corresponding FE model results and then comparing fitted model coefficients for the experimental and predicted data sets.

RESULTS

The average error in impact force at experimental failure for the parametric models was 5%. The coefficients of a statistical model fit to simulation data were within one standard error of the coefficients of a similarly parameterized model of the experimental data except for the age parameter, likely because material properties used in simulations were not varied with specimen age. In simulations to explore the effects of femur length, BMI, and age on impact response, only BMI significantly affected response for both men and women, with increasing BMI producing higher impact forces.

CONCLUSIONS

Impactor forces from simulations, on average, matched experimental values at the time of failure. In addition, the simulations were able to match the trends in the experimental data set.

摘要

目的

正在开发具有与年龄和身体形状/尺寸等受试者描述符相关的几何形状和材料特性的有限元(FE)模型,以便将人群变异性纳入碰撞模拟中。然而,目前用于这些参数模型的验证方法并未评估模型预测在其预期使用的空间内是否合理。本研究提出了一种股骨的参数模型,并将一种独特的验证范式应用于该参数化股骨模型,以表征模型预测是否再现了实验观察到的趋势。

方法

基于预测股骨几何形状的现有统计模型,开发了具有随年龄、股骨长度和体重指数(BMI)参数化的几何形状的男性和女性股骨的有限元模型。通过将股骨干联合加载试验的响应与相应股骨干有限元模型的模拟结果进行比较,对这些参数化有限元股骨模型进行验证,该有限元模型的几何形状是使用相关年龄、股骨长度和BMI预测的。还通过将类似参数化的统计模型拟合到实验数据结果和相应的有限元模型结果,然后比较实验数据集和预测数据集的拟合模型系数,将受试者变量对模型响应的影响与实验数据集中的趋势进行了比较。

结果

参数模型在实验失效时的冲击力平均误差为5%。拟合模拟数据的统计模型的系数,除年龄参数外,均在类似参数化的实验数据模型系数的一个标准误差范围内,这可能是因为模拟中使用的材料特性未随标本年龄而变化。在探索股骨长度、BMI和年龄对冲击响应影响的模拟中,只有BMI对男性和女性的响应均有显著影响,BMI增加会产生更高的冲击力。

结论

模拟中的冲击力平均在失效时与实验值匹配。此外,模拟能够与实验数据集中的趋势相匹配。

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