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针对目前下颌运动的研究大多集中在生理学方面的不足,我们从空间机构运动理论的角度出发,对Hanau架运动链自由度进行分析并提出约束条件假设,以空间解析几何建立描述Hanau架下颌三维侧向空间运动的数学模型,通过在Matlab6.5及VC++6.0环境下编制软件程序求解,得到其任意点的运动轨迹,从而验证了髁导斜度及切导斜度与定位平面斜度成正变关系,对Hanau提出的5因素10定律提供了理论依据。该数学模型的建立将有助于深入分析下颌运动过程中上下颌的动态咬合,从而达到最终实现以虚拟架替代机械架的目的。
For the current research on mandibular movement mostly focuses on the lack of physiology. From the perspective of the theory of spatial mechanism movement, we analyze the degree of freedom of the Hanau frame kinematic chain and propose the constraint hypothesis to establish the analytic geometry of the Hanaustand Three-dimensional lateral space motion mathematical model, by Matlab6.5 and VC ++ 6.0 environment software program to solve, get the trajectory of any point, so as to verify the condyle guide slope and guide the slope and the positioning of the plane inclined As a result, Hanau's theory of 5-factor 10 law is provided. The establishment of this mathematical model will help to deeply analyze the dynamic occlusion of the maxilla and mandible during the mandibular movement, so as to achieve the ultimate goal of replacing the mechanical stirrups with virtual stirrups.