Equivalent modeling and evaluation of molars using point-contact higher kinematic pair based on occlusal dynamic analysis_Journal of Biomedical Engineering

Authors：

QIN Wenlong ¹ ,  CONG Ming ¹ , REN Xiang ² , LIU Dong ¹

1. School of Mechanical Engineering, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China;
2. College of Stomatology, Dalian Medical University, Dalian, Liaoning 116044, P.R.China;

Corresponding author：

CONG Ming, Email: congm@dlut.edu.cn

Keywords：

molar; point-contact higher kinematic pair; equivalent modeling; finite element method; occlusal dynamics

DOI：

10.7507/1001-5515.201906021

Video：

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Abstract Full text Figures/Tables Video References Cited by

As a representative part of the oral system and masticatory robot system, the modeling method of the dental model is an important factor influencing the accuracy of the multi-body dynamic model. Taking the right first molars of the masticatory robot as the research object, an equivalent model, point-contact higher kinematic pair composed of v-shaped surface and sphere surface, was proposed. Firstly, the finite element method was used to analyze the occlusal dynamics of the original model in three static contact cases (intrusive contact, centric occlusion, and extrusive contact) and one dynamic chewing case, and the expected bite force was obtained. Secondly, the Hertz contact model was adopted to establish the analytical expression of the bite force of the equivalent model in three static contact cases. The normal vectors and contact stiffness in the expression were designed according to the expected bite force. Finally, the bite force performance of the equivalent model in three static contact cases and one dynamic chewing case was evaluated. The results showed that the equivalent model could achieve the equivalent bite force of 8 expected items in the static contact cases. Meanwhile, the bite force in the early and late stages of the dynamic chewing case coincides well with the original model. In the middle stage, a certain degree of impact is introduced, but it can be weakened by subsequent trajectory planning. The equivalent modeling scheme of the dental model proposed in this paper further improves the accuracy of the dynamic model of the multi-body system. It provides a new idea for the dynamic modeling of other complex human contacts.

Citation： QIN Wenlong, CONG Ming, REN Xiang, LIU Dong. Equivalent modeling and evaluation of molars using point-contact higher kinematic pair based on occlusal dynamic analysis. Journal of Biomedical Engineering, 2020, 37(4): 614-621. doi: 10.7507/1001-5515.201906021 Copy

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20.	Qin Wenlong, Cong Ming, Wen Haiying, et al. Normal stiffness analysis of antagonistic molars with crown prosthesis in chewing robot//2017 IEEE 7th Annual International Conference on Cyber Technology in Automation, Control, and Intelligent Systems, Hawaii: IEEE, 2017: 1467-1471.
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22.	Pascale A M, Ruge S, Hauth S, <italic>et al</italic>. Testing occlusal performance by using chewing simulation with virtually designed substrate. Int J Comput Dent, 2018, 21(1): 23-30.
23.	Hattori Y, Satoh C, Kunieda T, <italic>et al</italic>. Bite forces and their resultants during forceful intercuspal clenching in humans. J Biomech, 2009, 42(10): 1533-1538.
24.	Benazzi S, Nguyen H N, Kullmer O, <italic>et al</italic>. Unravelling the functional biomechanics of dental features and tooth wear. PLoS One, 2013, 8(7): e69990.
25.	Fan Kunyang, Jose Y P, Ruiz-Hervias J, <italic>et al</italic>. Determination of mechanical properties of Al2O3/Y-TZP ceramic composites: influence of testing method and residual stresses. Ceramics International, 2016, 42(16): 18700-18710.
26.	易新竹. 学. 北京: 人民卫生出版社, 2013.

1. Nickel J C, Iwasaki L R, Walker R D, <italic>et al</italic>. Human masticatory muscle forces during static biting. J Dent Res, 2003, 82(3): 212-217.
2. Karimi A, Razaghi R, Biglari H, et al. Finite element modeling of the periodontal ligament under a realistic kinetic loading of the jaw system, The Saudi Dental Journal. 2019: 1-8.
3. Commisso M S, Martínez-Reina J, Ojeda J, <italic>et al</italic>. Finite element analysis of the human mastication cycle. J Mech Behav Biomed Mater, 2015, 41: 23-35.
4. Razaghi R, Biglari H, Karimi A. Dynamic finite element simulation of dental prostheses during chewing using muscle equivalent force and trajectory approaches. J Med Eng Technol, 2017, 41(4): 314-324.
5. Martinez C S, Lenz J, Schweizerhof K, <italic>et al</italic>. Realistic kinetic loading of the jaw system during single chewing cycles: a finite element study. J Oral Rehabil, 2017, 44(5): 375-384.
6. Lee Y K, Chun Y S. An investigation into structural behaviors of skulls chewing food in different occlusal relationships using FEM, Clin Exp Dent Res, 2019: 1-9.
7. Kijak E, Margielewicz J, Lietz-Kijak D, <italic>et al</italic>. Model identification of stomatognathic muscle system activity during mastication. Exp Ther Med, 2017, 13(1): 135-145.
8. Mortensen J D, Vasavada A, Merryweather A S. The inclusion of hyoid muscles improve moment generating capacity and dynamic simulations in musculoskeletal models of the head and neck. PLoS One, 2018, 13(6): e0199912.
9. Marková M, Gallo L M. The influence of the human TMJ eminence inclination on predicted masticatory muscle forces. Hum Mov Sci, 2016, 49: 132-140.
10. 王美青. 口腔修复中的咬合接触问题. 华西口腔医学杂志, 2012, 30(6): 557-561.
11. 王贵飞. 基于义齿磨损性能测试的冗余驱动咀嚼机器人技术研究, 大连: 大连理工大学, 2018.
12. Tuijt M, Koolstra J H, Lobbezoo F, <italic>et al</italic>. Differences in loading of the temporomandibular joint during opening and closing of the jaw. J Biomech, 2010, 43(6): 1048-1054.
13. Skipper A M, de Zeem, Damsgaard M, <italic>et al</italic>. Introduction to force-dependent kinematics: theory and application to mandible modeling. J Biomech Eng, 2017, 139(9): 091001.
14. Stavness I, Hannam A G, Lloyd J E, <italic>et al</italic>. Predicting muscle patterns for hemimandibulectomy models. Comput Methods Biomech Biomed Engin, 2010, 13(4): 483-491.
15. Hannam A G, Stavness I K, Lloyd J E, <italic>et al</italic>. A comparison of simulated jaw dynamics in models of segmental mandibular resection versus resection with alloplastic reconstruction. J Prosthet Dent, 2010, 104(3): 191-198.
16. Ahn S J, Tsou L, Antonio S C, <italic>et al</italic>. Analyzing center of rotation during opening and closing movements of the mandible using computer simulations. J Biomech, 2015, 48(4): 666-671.
17. Hannam A G, Stavness I, Lloyd J E, <italic>et al</italic>. A dynamic model of jaw and hyoid biomechanics during chewing. J Biomech, 2008, 41(5): 1069-1076.
18. Sagl B, Schmid-Schwap M, Piehslinger E, et al. A dynamic jaw model with a finite-element temporomandibular Joint, Frontiers in Physiology. 2019, 10: 1156.
19. Benazzi S, Nguyen H N, Kullmer O, <italic>et al</italic>. Dynamic modelling of tooth deformation using occlusal kinematics and finite element analysis. PLoS One, 2016, 11(3): e0152663.
20. Qin Wenlong, Cong Ming, Wen Haiying, et al. Normal stiffness analysis of antagonistic molars with crown prosthesis in chewing robot//2017 IEEE 7th Annual International Conference on Cyber Technology in Automation, Control, and Intelligent Systems, Hawaii: IEEE, 2017: 1467-1471.
21. Pascale A M, Ruge S, Hauth S, <italic>et al</italic>. Chewing simulation with a physically accurate deformable model. Int J Comput Dent, 2015, 18(3): 237-258.
22. Pascale A M, Ruge S, Hauth S, <italic>et al</italic>. Testing occlusal performance by using chewing simulation with virtually designed substrate. Int J Comput Dent, 2018, 21(1): 23-30.
23. Hattori Y, Satoh C, Kunieda T, <italic>et al</italic>. Bite forces and their resultants during forceful intercuspal clenching in humans. J Biomech, 2009, 42(10): 1533-1538.
24. Benazzi S, Nguyen H N, Kullmer O, <italic>et al</italic>. Unravelling the functional biomechanics of dental features and tooth wear. PLoS One, 2013, 8(7): e69990.
25. Fan Kunyang, Jose Y P, Ruiz-Hervias J, <italic>et al</italic>. Determination of mechanical properties of Al2O3/Y-TZP ceramic composites: influence of testing method and residual stresses. Ceramics International, 2016, 42(16): 18700-18710.
26. 易新竹. 学. 北京: 人民卫生出版社, 2013.

Journal of Biomedical Engineering

Equivalent modeling and evaluation of molars using point-contact higher kinematic pair based on occlusal dynamic analysis

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