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首页> 外文期刊>Journal of Biomechanics >Validation of density-elasticity relationships for finite element modeling of human pelvic bone by modal analysis
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Validation of density-elasticity relationships for finite element modeling of human pelvic bone by modal analysis

机译：模态分析验证人骨骨有限元建模的密度-弹性关系

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In total hip arthroplasty and particularly in revision surgery, computer assisted pre-operative prediction of the best possible anchorage strategy for implant fixation would be a great help to the surgeon. Computer simulation relies on validated numerical models. In the current study, three density-elasticity relationships (No. 1-3) from the literature for inhomogeneous material parameter assignment from CT data in automated finite element (FE) modeling of long bones were evaluated for their suitability for FE modeling of human pelvic bone. Numerical modal analysis was conducted on 10 FE models of hemipelvic bone specimens and compared to the gold standard provided by experimental modal analysis results from a previous in-vitro study on the same specimens. Overall, calculated resonance frequencies came out lower than measured values. Magnitude of mean relative deviation of numerical resonance frequencies with regard to measured values is lowest for the density-elasticity relationship No. 3 (-15.9%) and considerably higher for both density-elasticity relationships No. 1 (-41.1%) and No. 2 (-45.0%). Mean MAC values over all specimens amount to 77.8% (No. 1), 78.5% (No. 2), and 83.0% (No. 3). MAC results show, that mode shapes are only slightly influenced by material distribution. Calculated resonance frequencies are generally lower than measured values, which indicates, that numerical models lack stiffness. Even when using the best suited (No. 3) out of three investigated density-elasticity relationships, in FE modeling of pelvic bone a considerable underestimation of model stiffness has to be taken into account.
机译：在全髋关节置换术中，尤其是在翻修手术中，计算机辅助术前预测植入物固定的最佳可能锚固策略将为外科医生提供很大帮助。计算机仿真依赖于经过验证的数值模型。在当前的研究中，针对长骨自动有限元（FE）建模中CT数据中不均匀材料参数分配的文献中的三种密度-弹性关系（第1-3个），评估了它们对人体骨盆FE建模的适用性骨。对10个半盆腔骨标本的有限元模型进行了数值模态分析，并与先前对相同标本进行的体外研究的实验模态分析结果所提供的金标准进行了比较。总体而言，计算出的共振频率低于测量值。相对于实测值，数值共振频率的平均相对偏差的幅度对于第3号密度-弹性关系（-15.9％）最低，而对于第1号密度-弹性关系（-41.1％）和No.2均高得多。 2（-45.0％）。所有样品的平均MAC值分别为77.8％（第1名），78.5％（第2名）和83.0％（第3名）。 MAC结果表明，模式形状仅受材料分布的轻微影响。计算出的共振频率通常低于测量值，这表明数值模型缺乏刚度。即使在研究的三个密度-弹性关系中使用最适合的（第3个）时，在盆骨的有限元建模中也必须考虑到模型刚度的低估。

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