Analytic Model of the Subsystem Head-Neck-Spine Movement Biomechanics

Abstract

Biomechanical modeling with the help of analytical mechanics together with the application of dedicated IT resources and mechanical simulations lead to a higher accuracy of the biomechanical model. From an analytical point of view, this article develops the equation of motion of the human head in a biomechanical system with three degrees of freedom using the Lagrange equations of the second case. It has been considered that this biomechanical subsystem consists of 3 anatomicalelements: the head, the cervical region and the rest of the spine (considered as being a single element consisting of the thoracic region, lumbar region, sacral region and coccygeal region).The forces which stress the head and spine during normal movements or when activities in the workplace are performed make biomechanical modeling different. Therefore, the movement of the subsystem was analyzed in the sagittal plane taking into consideration joints of cylindroid type, and the subsystem as a triple inverted pendulum.The main purpose of this model was to obtain the differential equations of motion of the mechanical subsystem considered to be in the matrix-analytical form.