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作为脊柱植入物模型的多孔悬臂梁:动态特性的实验、分析和有限元分析

The porous cantilever beam as a model for spinal implants: Experimental, analytical and finite element analysis of dynamic properties.

作者信息

Du Xiaoyu, Zhou Yijun, Li Lingzhen, Persson Cecilia, Ferguson Stephen J

机构信息

Institute for Biomechanics, ETH Zurich, Zurich, Switzerland.

Division of Biomedical Engineering, Uppsala University, Uppsala, Sweden.

出版信息

Math Biosci Eng. 2023 Jan 31;20(4):6273-6293. doi: 10.3934/mbe.2023270.

Abstract

Investigation of the dynamic properties of implants is essential to ensure safety and compatibility with the host's natural spinal tissue. This paper presents a simplified model of a cantilever beam to investigate the effects of holes/pores on the structures. Free vibration test is one of the most effective methods to measure the dynamic response of a cantilever beam, such as natural frequency and damping ratio. In this study, the natural frequencies of cantilever beams made of polycarbonate (PC) containing various circular open holes were investigated numerically, analytically, and experimentally. The experimental data confirmed the accuracy of the natural frequencies of the cantilever beam with open holes calculated by finite element and analytical models. In addition, two finite element simulation methods, the dynamic explicit and modal dynamic methods, were applied to determine the damping ratios of cantilever beams with open holes. Finite element analysis accurately simulated the damped vibration behavior of cantilever beams with open holes when known material damping properties were applied. The damping behavior of cantilever beams with random pores was simulated, highlighting a completely different relationship between porosity, natural frequency and damping response. The latter highlights the potential of finite element methods to analyze the dynamic response of arbitrary and complex structures, towards improved implant design.

摘要

研究植入物的动态特性对于确保其安全性以及与宿主天然脊柱组织的兼容性至关重要。本文提出了一种悬臂梁简化模型,以研究孔洞对结构的影响。自由振动测试是测量悬臂梁动态响应(如固有频率和阻尼比)最有效的方法之一。在本研究中,对含有各种圆形开孔的聚碳酸酯(PC)悬臂梁的固有频率进行了数值、解析和实验研究。实验数据证实了有限元和解析模型计算的开孔悬臂梁固有频率的准确性。此外,应用了两种有限元模拟方法,即动态显式法和模态动态法,来确定开孔悬臂梁的阻尼比。当应用已知材料阻尼特性时,有限元分析准确地模拟了开孔悬臂梁的阻尼振动行为。模拟了具有随机孔隙的悬臂梁的阻尼行为,突出了孔隙率、固有频率和阻尼响应之间完全不同的关系。后者突出了有限元方法在分析任意复杂结构动态响应以改进植入物设计方面的潜力。

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