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基于松质骨梯度 Voronoi 模型的切削参数计算分析。

Computational analysis of cutting parameters based on gradient Voronoi model of cancellous bone.

机构信息

School of Mechanical and Vehicle Engineering, Changchun University, Changchun 130012, China.

出版信息

Math Biosci Eng. 2022 Aug 15;19(11):11657-11674. doi: 10.3934/mbe.2022542.

DOI:10.3934/mbe.2022542
PMID:36124607
Abstract

Bone cutting is a complicated surgical operation. It is very important to establish a kind of gradient porous bone model in vitro which is close to human bone for the research of bone cutting. Due to the existing bone cutting researches are based on solid bone model, which is quite different from human bone tissue structure. Therefore, Voronoi method was used to establish a gradient porous bone model similar to real bone tissue to simulate the process of bone drilling in this paper. High temperature and large cutting force during bone drilling can cause serious damage to bone tissue. Urgent research on bone drilling parameters is necessary to reduce cutting temperature and cutting force. The finite element analysis (FEA) of Voronoi bone models with different gradients is carried out, and a Voronoi model which is similar to real bone tissue is obtained and verified by combining the cutting experiment of pig bone. Then orthogonal experiments are designed to optimize the cutting parameters of Voronoi bone model. The range method is used to analyze the influence weights of cutting speed, feed speed and tip angle on cutting temperature and cutting force, and the least square method was used to predict the cutting temperature and cutting force, respectively. The gradient porous bone model constructed by Voronoi method was studied in detail in this paper. This study can provide theoretical guidance for clinical bone drilling surgery, and the prediction model of bone drilling has practical significance.

摘要

骨切割是一项复杂的手术。为了研究骨切割,建立一种类似于人体骨骼的梯度多孔骨模型非常重要。由于现有的骨切割研究基于实体骨模型,与人体骨骼结构有很大的不同。因此,本文采用 Voronoi 方法建立了一种类似于真实骨组织的梯度多孔骨模型,以模拟骨钻削过程。骨钻削过程中产生的高温和大切削力会对骨组织造成严重损伤。因此,有必要对骨钻削参数进行紧急研究,以降低切削温度和切削力。对不同梯度的 Voronoi 骨模型进行有限元分析(FEA),并结合猪骨的切削实验,获得并验证了一种与真实骨组织相似的 Voronoi 模型。然后,设计正交实验对 Voronoi 骨模型的切削参数进行优化。采用范围法分析切削速度、进给速度和刀尖角对切削温度和切削力的影响权重,并采用最小二乘法分别对切削温度和切削力进行预测。本文详细研究了 Voronoi 方法构建的梯度多孔骨模型。这项研究可以为临床骨钻削手术提供理论指导,而骨钻削预测模型具有实际意义。

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