MATHEMATICAL MODELING

Formation of mathematical simulation of motion of lower human limbs for investigation of the prosthetic systems

A. A. Bolshakov, V. P. Glazkov, A. A. Kulik

Saratov State Technical University named after Yu. A. Gagarin

Abstract: The article is concerned with the complex mathematical simulation of motion of the human lower limbs. The model, describing the motion of determinate elements of human lower limbs, is presented as an ordinary dynamic system. The resulting mathematical models allow us to study the physical processes occurring when a person moves and involved in determining the values of angles of the links tilts, the calculation of forces generated by muscular system of the lower limbs of a man. They can be used for determining the parameters of prostheses and prosthetic systems with elastic elements at the early stage of their designing, as well as for the studies of the control systems of such devices. The method and the results of the investigations of muscle contractions of lower limbs of a man.

Keywords: mathematic simulation, prosthetic system, lower limbs of a man, ordinary dynamic system.

UDC: 615.477:796.012
BBK: 54.582.85/.86:54.581.98.001.57

Received: 04.07.2013