Viktor Legeza

Work place: National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Ukraine



Research Interests: Statistical mechanics, Mathematics of Computing, Mathematics, Physics & Mathematics


Viktor Legeza is a full time professor, and a Doctor of Science, professor in the Departament of Computer Systems Software at the National Technical University of Ukraine – Igor Sikorsky Kyiv Polytechnic Institute, Ukraine. He graduated from Cybernetics of National Research Nuclear University "Moscow Engineering and Physical Institute" (MEPhI), specializing in "Applied Mathematics". He is the author and co-author of over 270 scientific works, including two monographs and seven textbooks for High Schools on mathematical disciplines. More than 70 of his scientific publications are quoted in such databases as Scopus, Web of Science, Research Gate etc. The results of scientific research are protected by more than 65 patents. Areas of major scientific interest: mathematical modelling of dynamic processes in coupled systems, applied problems of vibration and seismic load-bearing objects, the dynamics of railway transportation, shock protection in transport, identification of objects, nonholonomic mechanics, patenting inventions. 

Author Articles
Non-Linear Model of the Damping Process in a System with a two-mass Pendulum Absorber

By Zhengbing Hu Viktor Legeza Ivan Dychka Mykola Onai

DOI:, Pub. Date: 8 Jan. 2019

In this paper, the dynamic behavior of the damping system is analyzed with a two-mass pendulum absorber, the equations of motion of non-linear mechanical systems are built accordingly. AFC equation systems have been identified in the non-linear formulation. To obtain the frequency response, the Ritz averaging method is used. A new numerical method of determining the parameters of optimal tuning two-mass pendulum absorber in the non-linear formulation has been Proposed and implemented.

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Mathematical Model of the Dynamics in a One Nonholonomic Vibration Protection System

By Viktor Legeza Ivan Dychka Ruslan Hadyniak Liubov Oleshchenko

DOI:, Pub. Date: 8 Oct. 2018

Dynamic behavior of a heavy homogeneous sphere in a spherical cavity of a supporting body that performs specified translational movements in space has been studied. Using the Appel formalism, the equations of ball motion in a moving spherical cavity without slip are constructed and a numerical analysis of the evolution of the ball motion is carried out.

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Mathematical Model of the Damping Process in a One System with a Ball Vibration Absorber

By Zhengbing Hu Viktor Legeza Ivan Dychka Dmytro Legeza

DOI:, Pub. Date: 8 Jan. 2018

The forced oscillations of the damping mechanical system of solids "Ball Vibration Absorber (BVA) with linearly viscous resistance – a movable carrier body" under the influence of external harmonic excitation are considered. Based on Appell's formalism, the dynamic equations for the joint motion of a heavy ball without sliding into a spherical cavity of a carrier body are formulated and numerically studied. The amplitude-frequency characteristic of the damping mechanical system and the curves of the dependences of the maximum amplitude of the oscillations of the carrier body on the values of the radius of the spherical cavity and the coefficient of viscous resistance of the BVA are obtained. The conditions and restrictions on the rolling of a heavy ball in the spherical recess of the absorber without sliding are determined.

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