正畸弓丝与托槽间摩擦力建模及试验研究  

Modeling and Experimental Study of Friction Force between Orthodontic Archwire and Bracket

作　　者：姜金刚[1] 吴殿昊 王磊[1] 张永德[1] 刘怡[2] 姚亮[1] JIANG Jingang;WU Dianhao;WANG Lei;ZHANG Yongde;LIU Yi;YAO Liang(Key Laboratory of Advanced Manufacturing and Intelligent Technology,Ministry of Education,Harbin University of Science and Technology,Heilongjiang Harbin 150080,China;School of Stomatology,Peking University,Bijing 100081,China)

机构地区：[1]哈尔滨理工大学先进制造智能化技术教育部重点实验室,黑龙江哈尔滨150080 [2]北京大学口腔医学院,北京100081

出　　处：《摩擦学学报》2022年第3期520-531,共12页Tribology

基　　金：黑龙江省自然科学基金项目(LH2021E081);中国博士后基金特别资助项目(2018T110313);黑龙江省博士后特别资助项目(LBH-TZ1705);黑龙江省普通高校基本科研业务费专项资金(LGYC2018JQ016)资助。

摘　　要：正畸矫治过程中,正畸弓丝与托槽间的相对滑动趋势将产生摩擦力,进而降低有效矫治力,影响矫治的性能和效率.针对目前正畸摩擦力预测方法量化预测精度低的问题,依据正畸弓丝与托槽间的几何关系、力学关系及物理参数,提出一种基于分力叠加原理的计及接触角度的正畸摩擦力预测模型建立方法.探究影响正畸摩擦力的主要因素以及变化规律,提出采用有限滑动法测量正畸摩擦力,搭建了基于六维力传感器的正畸摩擦力测量系统,进行了不同弓丝-托槽组合和不同接触角度的摩擦力测量,试验数据与预测模型的理论数据间误差率处于0.55%~9.65%之间,证明该预测模型可为医师明确正畸矫治器参数-摩擦力-矫治力的关系提供理论依据,为实现数字化正畸提供理论支撑,保证个性化正畸方案的高效、高可靠性和高舒适度,最终达到轻力矫治的效果.In the process of orthodontic treatment,the relative sliding trend between the archwire and bracket produces friction force,which reduces the effective force and affects the performance and efficiency of the treatment.The current orthodontic friction force prediction method fails to comprehensively consider the geometrical relationship,mechanical relationship and physical parameters between the archwire and the bracket,which is difficult to provide accurate and reliable prediction for doctors.This paper aims to provide a high-precision quantitative prediction method,and investigate the main factors affecting the orthodontic friction and its changing principle.In view of the mechanical factors affecting orthodontic friction,the orthodontic friction is divided into three contact components according to the relative contact between the archwire and the bracket.A modeling method of orthodontic friction force prediction taking into account the contact angle was proposed based on principle of component force superposition.Taking the three adjacent brackets as an example,the geometrical relationship,mechanical relationship and physical parameters between the archwire and the bracket were analyzed.Firstly,the contact angle was calculated.Secondly,the constraint force was modeled based on the beam deformation theory,the classical friction was modeled based on the first friction theory,and the notching resistance was modeled based on the mechanical relationship.Finally,the orthodontic friction force in the two contact cases was obtained,which were bilateral contact and unilateral contact between the archwire and the bracket groove.In the experiment,the finite sliding method was used to measure the orthodontic friction force,and an orthodontic simulation dentition with three brackets was designed.A six-dimensional force sensor-based orthodontic friction force measurement system was built to measure friction force at a constant ligature pressure,constant sliding speed and within a limited sliding stroke of 3 mm.The friction

关 键 词：正畸矫治 正畸摩擦力 预测模型 正畸弓丝 托槽 接触角度 

分 类 号：O313.5[理学—一般力学与力学基础] R783.5[理学—力学]