基于载荷驱动变形误差模型的牙体预备机器人镜像迭代轨迹优化方法
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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哈尔滨150080; 2.哈尔滨理工大学 机器人技术及工程应用研究中心哈尔滨150080; 3.北京大学口腔医学院北京100081

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TP242TH789

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国家自然科学基金项目(52575015)、中国博士后基金(2025M781278)、黑龙江省博士后经费项目(LBH-Z25188)、黑龙江省省属本科高校优秀青年教师基础研究支持计划项目(YQJH2025078)、黑龙江省自然科学基金联合基金培育项目(PL2025E049)、“新时代龙江优秀硕士、博士学位论文”项目(LJYXL2024-037)资助


Mirror-iterative trajectory optimization for tooth preparation robots based on a load-driven deformation error model
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1.Key Laboratory of Advanced Manufacturing and Intelligent Technology, Ministry of Education, Harbin University of Science and Technology, Harbin 150080, China; 2.Robotics & its Engineering Research Center, Harbin University of Science and Technology, Harbin 150080, China; 3.Peking University School of Stomatology, Beijing 100081, China

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    摘要:

    随着人口老龄化与口腔健康意识提升,龋病和牙体缺损仍处于较高负担状态。牙体预备是修复治疗的关键环节,对几何精度与操作一致性要求严格。机器人辅助牙体预备可降低医师疲劳和手部抖动影响,提高操作稳定性与标准化水平。然而,悬臂式末端器械在预备载荷下易发生弹性变形,且误差随姿态和工况变化,仅依赖几何误差难以有效补偿。针对该问题,提出载荷驱动的悬臂式器械末端变形误差建模与镜像迭代轨迹优化方法。首先,基于悬臂梁理论建立末端悬臂系统变形误差模型,并引入有限元辅助的接口等效刚度识别方法,通过局部连接区加载响应辨识接口等效参数,提高模型预测精度。其次,提出载荷-变形敏感度驱动的镜像迭代前馈补偿方法,在迭代更新中引入敏感度因子,修正补偿量改变预备深度后引起的误差,并结合约束与收敛控制优化补偿轨迹。准静态单点加载实验表明,末端悬臂系统在1.0~2.0 N典型预备载荷范围内具有较好的线性力-位移响应特征,支持小变形线弹性与三向近似解耦假设。基于离体牙的消融实验表明,所提方法可将MAE、RMSE和P95分别降低至0.044、0.058和0.087 mm,平均误差抑制率为59.3%,验证了其误差抑制能力与轨迹优化稳定性。未来将结合在线力位感知与参数自适应更新策略进一步提升对个体牙齿差异、车针磨损及末端构型变化的适应能力。

    Abstract:

    With population aging and increasing awareness of oral health, dental caries and tooth defects remain conditions with a high clinical burden. Tooth preparation is a critical procedure in restorative dentistry and requires high geometric accuracy and operational consistency. Robot-assisted tooth preparation can reduce the influence of clinician fatigue and hand tremor, thereby improving procedural stability and standardization. However, cantilevered end-effector instruments are prone to elastic deformation under preparation loads, and the resulting errors vary with posture and working conditions. Therefore, compensation based solely on geometric errors is difficult to achieve effectively. To address this problem, this study proposes a load-driven deformation error modeling and mirror-iteration trajectory optimization method for cantilevered end-effector instruments. First, a deformation error model of the cantilevered end-effector system is established based on cantilever beam theory. A finite element-assisted equivalent interface stiffness identification method is then introduced, in which equivalent interface parameters are identified from the loading response of local connection regions to improve the prediction accuracy of the model. Second, a load-deformation sensitivity-driven mirror-iteration feedforward compensation method is proposed. In the iterative update process, a sensitivity factor is introduced to correct the error induced by changes in preparation depth after compensation, and the compensated trajectory is optimized through constraint and convergence control. Quasi-static single-point loading experiments show that the cantilevered end-effector system exhibits good linear force-displacement response characteristics within the typical preparation load range of 1.0~2.0 N, supporting the assumptions of small-deformation linear elasticity and approximate three-directional decoupling. Ablation experiments on extracted teeth demonstrate that the proposed method reduces the MAE, RMSE, and P95 of the prepared surface to 0.044, 0.058, and 0.087 mm, respectively, with an average error suppression rate of 59.3%. These results verify the error suppression capability and trajectory optimization stability of the proposed method. Future work will integrate online force-position sensing and adaptive parameter updating strategies to further improve adaptability to individual tooth differences, bur wear, and variations in end-effector configuration.

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孙健鹏,冯天一,姜金刚,郭敬辉,潘洁.基于载荷驱动变形误差模型的牙体预备机器人镜像迭代轨迹优化方法[J].仪器仪表学报,2026,47(6):391-403

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  • 在线发布日期: 2026-09-02
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