Establishment of Dynamic Model of Human Knee Joint in Sagittal Plane

摘要

The purpose of this work is to establish a dynamic model of human knee joint in sagittal plane during external force acting on the center of mass of tibia. On the basis of the anatomical structure of human knee joint, femur and tibia are modeled as rigid bodies, four major ligaments including anterior and posterior cruciate ligaments, medial and lateral collateral ligaments are taken as nonlinear elastic springs. Considering the motion constraint conditions of the tibia relative to the fixed femur, three nonlinear algebraic equations are set up. A dynamic model of human knee joint is established by analyzing forces of acting on the tibia in the sagittal plane, and three second-order nonlinear differential equations are obtained by using Newton's second law and law of rotation of the rigid body.