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Three-dimensional mathematical model of bio-mechanical system: human- mechanized hand tool in accordance to ISO 10068 standard on the example of impact drill

Rukat Wojciech

Vibrations in Physical Systems

2020

Vol. 31, nr 1

art. no. 2020108

This paper presents the development of a mathematical model of a bio-mechanical system: human ‒ power tool, on the example of an impact drill. The physical model of the operator's upper limb with 5 degrees of freedom, in accordance with ISO 10068 standard was used. The paper presents the results of theoretical analysis regarding elementary and net displacements for individual directions. Moreover mathematical relationships describing them were determined. The result of the synthesis of these relations and the adopted (in accordance with the standard) physical model of the upper limb is the general matrix form of differential equations of motion of the analysed bio-mechanical system, built using the Lagrange’s equations of the second kind.

Comparison of vibration impact of an impact drill on the human body under different working conditions

Jakubek B., Rukat W.

Vibrations in Physical Systems

2016

Vol. 27

135--142

Currently there is a wide range of different kinds of power tools on the market. In the case of impact drills the major threat to the user’s health are vibration and acoustic impacts. Knowing that the actual drilling conditions may vary significantly from standardized conditions. It is important to determine the actual maximum level of dangerous factors present during drilling. Furthermore, it is also very important to link that factors to the conditions in which they occur. Among many factors affecting the level of vibration of an impact drill, change of the working position, the length of the drill bit and the diameter of the drill bit were verified in this paper. Verification was based on a comparison of vector-weighted mean values of acceleration of vibrations RMS a registered on the handles of the impact drill, while drilling in concrete, under different working conditions.