New publications

UDC 796.015

Zagrevsky, V. I. Lagrange and Hamilton formalism in motion modeling of biomechanical systems: a monograph / V. I. Zagrevsky, O. I. Zagrevsky, D. A. Lavshuk. — Mogilev : Mogilev State A. Kuleshov University, 2018. — 296 p. : ill.

ISBN 978-985-568-413-9

The monograph highlights the problem of computer synthesis of the motion of an unbranched multi-link biomechanical system that performs a plane rotational motion under support conditions. A mathematical model of the motion of a biomechanical system that adequately imitates various forms of an athlete's movement is built with the computer in the automated mode of design operations.
It is shown that Lagrange and Hamilton formalism used in the construction of a mathematical model for the synthesis of the motion of a biomechanical system equally solves the motion problem in the synthesized technique of sports exercise. This makes it possible to use equally successfully the mathematical apparatus for modeling the motions of biomechanical systems, based both on Lagrange formalism and Hamilton formalism. In the synthesized variants of motion actions, the approaches of specifying program control on the kinematic and dynamic levels of motion control were applied.
The publication can be helpful to undergraduates and postgraduates specializing in the field of exercise biomechanics, to coaches, athletes and professionals who wish to learn the basics of human movements modeling and deepen their knowledge in technical training of athletes.