4.5 Article

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

期刊

MATHEMATICAL BIOSCIENCES AND ENGINEERING
卷 20, 期 4, 页码 6273-6293

出版社

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mbe.2023270

关键词

dynamic response; cantilever beam; damping ratio; natural frequency; porous

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Investigating the dynamic properties of implants is crucial for their safety and compatibility with natural spinal tissue. This study presents a simplified model of a cantilever beam to explore the effects of holes/pores on the structures. The natural frequencies and damping ratios of cantilever beams with open holes made of polycarbonate (PC) were investigated numerically, analytically, and experimentally. Finite element analysis accurately simulated the damped vibration behavior of cantilever beams with open holes, highlighting the potential of this method for analyzing the dynamic response of complex structures and improving implant design.
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.

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