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P. Pukach, A. Slipchuk, W. Auzinger, R. Stolyarchuk, Y. Pukach, A. Kunynets, N. Pabyrivska:
"Asymptotic Method for Studying Mathematical Models of Resonant and Nonresonant Nonlinear Vibrations for Some 1D Moving Bodies";
Talk: CADSM'2021, Lviv; 02-22-2021 - 02-24-2021; in: "Proceedings of the 2021 IEEE 16th International Conference on the Experience of Designing and Application of CAD Systems (CADSM)", IEEE, (2021), ISBN: 978-0-7381-4629-4; 5/6 - 5/9.

The mathematical model of nonlinear
oscillations of an elastic moving one-dimensional body
is investigated. The method of research of the specified
model in case of resonant and nonresonant modes of
fluctuations is developed. The oscillatory systems
considered in the work simulate, in particular, dynamic
processes in auger electromechanical machines,
technological equipment used in drilling works, etc.
The equations in standard form, which determine the
parameters of the dynamic process for nonlinear
oscillations of a moving body, are considered and
investigated. Asymptotic approaches to the study of
these mathematical models of oscillations make it
possible to obtain and analyze the conditions of resonant
and non-resonant modes of operation of the above
technological systems.

moving body, oscillations, nonlinear vibrations, resonant modes of vibrations, nonresonant modes of vibrations, asymptotic method

http://dx.doi.org/10.1109/CADSM52681.2021.9385221