MATHEMATICAL MODELING OF THE MOTIONPARAMETERSOFADISABLED PERSON IN ABUS

Abstract

With a view to determining the dynamics and possible traumasustained bya disabled person in a wheelchair in the passenger compartment of a bus, a physical modelhas been developed. The system, as the time function, generalized in the coordinatesX(t), (t), was described bysecond-order Lagrangian differential equations. The proposed mathematical model allows for determining the motion characteristics of disabled people in a wheelchair in abus that can cause injuries.Thispaperpresents the curves of the change in coordinates of the angular velocity of the head and its center of gravity, as well as the curve of the change in the angle between the femurand the wheelchaior seat, through mathematical modeling and an experiment.

Keywords

• physical model
• disabled person
• bus
• wheelchair