Henyš Petr, Čapek Lukáš
a Department of Technologies and Structures , Technical University of Liberec , Liberec , Czech Republic.
Comput Methods Biomech Biomed Engin. 2019 Jul;22(9):916-924. doi: 10.1080/10255842.2019.1604949. Epub 2019 Apr 19.
The purpose of the present study was to describe the structural density and geometry of the bone, as well as its sensitivity to the resolution of finite element discretisation. The study introduces a novel way to validate biomechanical model of the bone by experimental modal analysis. The structural density and geometry of the model was obtained from a composite bone. A detailed investigation of the weight dependence of the bone on the mesh resolution was performed to obtain the best match with the real weight of the tested bone. The computational model was compared with the experimental results obtained from the modal analysis. The overall changes of the modal properties and bone weight in the model caused by different mesh resolutions and order of approximation were below 10%, despite the bone was modelled with simple isotropic material properties. The experimental modal analysis shows a great potential to be a robust verification tool of computational biomechanical models because it provides boundary conditions-free results. The sensitivity analysis revealed that the linear approximation of the density field is not suitable for the modelling of the modal response of composite bone.
本研究的目的是描述骨骼的结构密度和几何形状，以及其对有限元离散化分辨率的敏感性。该研究引入了一种通过实验模态分析来验证骨骼生物力学模型的新方法。模型的结构密度和几何形状取自一块复合骨。对骨骼重量与网格分辨率的依赖关系进行了详细研究，以使其与测试骨骼的实际重量达到最佳匹配。将计算模型与模态分析获得的实验结果进行了比较。尽管骨骼是用简单的各向同性材料属性建模的，但不同网格分辨率和近似阶数导致的模型模态特性和骨骼重量的总体变化低于10%。实验模态分析显示出作为计算生物力学模型的强大验证工具的巨大潜力，因为它提供了无边界条件的结果。敏感性分析表明，密度场的线性近似不适用于复合骨模态响应的建模。
