一个人膝关节数学模型及其生物动力响应研究

A HUMAN KNEE JOINT MATHEMATICAL MODEL WITH BIODYNAMIC RESPONSES

本文建立了一个人膝关节数学模型，并对这类数学模型的求解，发展了一种有效且易于使用的解法技术。作为应用，研究了人体小腿在矢状面内的生物动力响应。计算了人体小腿在两类冲击载荷作用下，膝关节咬合接触力、膝关节处的4个主要韧带所承受的张力以及膝关节股骨与胫骨咬合时的接触点的位置、小腿的前后屈伸位移和运动轨迹等。

In this paper, a human knee joint anatomically-based mathematical model in the sagittal plane is established, and its biodynamic responses are investigated by introducing a alternative solution technique. The forces assoclated with the four main ligaments, as well as the bone-to-bone contact forces in the knee joint are numerically obtained. The contact point locations are also presented together with the augular motions of the lower limb segments.