Teoriya i praktika fizicheskoy kultury №4 2017, pp.83-85

Dr.Hab., Professor V.I. Zagrevskiy^{1, 2}
Dr.Hab., Professor O.I. Zagrevskiy^2
1Mogilev State University n.a. A.A. Kuleshov, Mogilev, Belarus
²National Research Tomsk State University, Tomsk

The article considers a mathematical apparatus for computer modelling of pronator/ supinator muscle movements in human body and demonstrates how the axial rotation of a biomechanical system link may be formally described using a set of matrix operations profiling rotation of a movable coordinate system around its own axes. Objective of the study was to develop a technological framework for the mathematical provisions and software to visualize by the relevant computer tools the required 3D position and orientation of a biomechanical system.
We developed original computer software to visualize the 3D position and axial rotation of a model (rectangular prism) under preset angular orientation parameters. The software was designed using Visual Basic 2010 Express algorithmic language in Visual Studio 2013 interactive design environment. It is the matrix description method in application to the 3D position of the subject plus the matrix multiplication method for presetting the necessary orientation and rotation that were applied to form a mathematical core of the software. The study shows that the human limb rotation and pronation may be modelled by a certain sequence of matrix multiplication operations with the elementary rotation matrixes being multiplied.

Keywords: sport exercises, model, rotation matrix, computing experiment, biomechanical system.

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