Occlusion Masticatory Cycle Planning and Driving Force Optimal Distribution of an Actuation Redundant Chewing Robot
WANG Guifei1, CONG Ming1, XU Weiliang2, WEN Haiying1, QIN Wenlong1
1. School of Mechanical Engineering, Dalian University of Technology, Dalian 116023, China;
2. Department of Mechanical Engineering, The University of Auckland, Auckland 1142, New Zealand
Abstract:In order to achieve individualization of denture performance test for dental patients, the biomimetic maxilla and mandible structures installing a dental model are designed based on a 6PUS-2HKP spatial parallel biomimetic chewing robot with redundant actuation. In order to satisfy requirements of highly biomimetic chewing movements in the denture performance test, a parametric biomimetic planning method for the posterior teeth occlusion masticatory cycle is proposed on the basis of temporomandibular joint (TMJ) motion theories. Combining Lagrangian formulation and virtual work principle, dynamics of the actuation redundant chewing robot is deduced. The mathematics model of driving force optimal distribution of the actuation redundant chewing robot is established by means of genetic algorithm under 2 different optimization goals, i.e. minimal 2-norm of temporomandibular joint forces and minimal 2-norm of driving forces. Applying force-deformation curve of simulation food silicon rubber, which is obtained by food texture analyser, to the molar tooth of the chewing robot, chewing experiments on simulation food under occlusion masticatory cycle are carried out. The experiment results show that incisor trajectory shape, incisor velocity changing rules, and condylar motion forms, and so on, all conform to human chewing movements. Reasonable driving force optimal distribution results can be obtained under conditions with or without simulation food. The occlusion masticatory cycle experiment is carried out on the chewing robot with 6 actuation forces obtained by the simulation as the input. Prototype experiments and chewing experiments on simulation food demonstrate the bio-imitability of the parametric planning method for the posterior teeth occlusion masticatory cycle and the feasibility of the driving force optimal distribution method.
[1] Wang G F, Cong M, Xu W L, et al. A biomimetic chewing robot of redundantly actuated parallel mechanism[J]. Industrial Robot, 2015, 42(2):103-109.
[2] 马德军,王加森,卢慧,等.基于三次B样条曲线的食品物性检测系统的仿生咀嚼运动轨迹规划[J].机械制造,2015,53(8):6-9.Ma D J, Wang J S, Lu H, et al. Bionic mastication movement planning based on cubic B-spline curve of an detecting instrument for physical foodstuff properties[J]. Machinery, 2015, 53(8):6-9.
[3] Chen C, Xu W L, Shang J Z. Distributed-torque-based independent joint tracking control of a redundantly actuated parallel robot with two higher kinematic pairs[J]. IEEE Transactions on Industrial Electronics, 2016, 63(2):1062-1070.
[4] Alemzadeh K, Raabe D. Prototyping artificial jaws for the bristol dento-munch robo-simulator——A parallel robot to test dental components and materials[C]//29th Annual International Conference of the IEEE Engineering-in-Medicine-and-Biology Society. Piscataway, USA:IEEE, 2007:1453-1456.
[5] Wen H Y, Xu W L, Cong M. Kinematic model and analysis of an actuation redundant parallel robot with higher kinematic pairs for jaw movement[J]. IEEE Transactions on Industrial Electronics, 2015, 62(3):1590-1598.
[6] 温海营,丛明,王贵飞,等.冗余驱动仿下颌运动机器人工作空间分析及试验验证[J].机器人,2015,37(3):286-297.Wen H Y, Cong M, Wang G F, et al. Workspace analysis and experimental verification of a redundantly actuated jaw movement robot[J]. Robot, 2015, 37(3):286-297.
[7] 杜婧,丛明,温海营,等.冗余驱动仿下颌运动机器人的机构设计及轨迹规划[J].机器人,2015,37(1):43-52.Du J, Cong M, Wen H Y, et al. Mechanism design and trajectory planning of a redundantly actuated parallel robot for jaw movement[J]. Robot, 2015, 37(1):43-52.
[8] 魏玉华,杨苗.咀嚼模拟机设计与应用进展[J].口腔医学研究,2013,29(9):881-882.Wei Y H, Yang M. Progress of design and application of chewing simulation machines[J]. Journal of Oral Science Research, 2013, 29(9):881-882.
[9] 窦玉超,姚建涛,高思慧,等.冗余驱动并联机器人动力学建模与驱动力协调分配[J].农业机械学报,2014,45(1):293-300.Dou Y C, Yao J T, Gao S H, et al. Dynamic modeling and driving force coordinate distribution of the parallel robot with redundant actuation[J]. Transactions of the Chinese Society for Agricultural Machinery, 2014, 45(1):293-300.
[10] Shang W W, Cong S. Adaptive compensation of dynamics and friction for a planar parallel manipulator with redundant actuation[C]//IEEE International Conference on Robotics and Biomimetics. Piscataway, USA:IEEE, 2010:507-512.
[11] Ogawa T, Ogawa M, Koyano K. Different responses of masticatory movements after alteration of occlusal guidance related to individual movement pattern[J]. Journal of Oral Rehabilitation, 2001, 28(9):830-841.
[12] 祁若龙,周维佳,王铁军.一种基于遗传算法的空间机械臂避障轨迹规划方法[J].机器人,2014,36(3):263-270.Qi R L, Zhou W J, Wang T J. An obstacle avoidance trajectory planning scheme for space manipulators based on genetic algorithm[J]. Robot, 2014, 36(3):263-270.
[13] Koolstra J H, van Eijden, T M G J, Weijs W A, et al. A 3-dimensional mathematical model of the human masticatory system predicting maximum possible bite forces[J]. Journal of Biomechanics, 1988, 21(7):563-576.