Models of motion of a particle on rough non-linear surfaces of the 2nd order in the function of time

Authors

  • A.V. Nesvidomin National University of Life and Environmental Sciences of Ukraine image/svg+xml

DOI:

https://doi.org/10.31548/energiya2018.04.161

Abstract

The purpose of the study is the development of Maple-model of motion of a particle on a non-linear surfaces of the 2nd order in the function of time.

A computational experiment was conducted to study the trajectory-kinematic properties of the motion of a particle on a non-linear surfaces of the 2nd order in the function of time.

On the example of forming the laws of motion of a particle on rough nonlinear surfaces in a computer algebra Maple environment, the possibility is shown that the sequence of cumbersome analytic transformations can not be elaborated at all. In this case, the user of the model of studying the motion of a particle on a rough surface is enough to only set the initial conditions for the particle sinking and to form a set of trajectory-kinematic characteristics studied.

Key words: accompanying triedrone, material point, non-linear surfaces, trajectory of motion

References

Adamchuk, V.V. (2010). Teoriya tsentrobezhnykh rabochikh organov mashin dlya vneseniya mineral’nykh udobreniy [Theory of centrifugal working bodies of machines for the application of mineral fertilizers]. Kiyv.: Ahrarna nauka, 178.

Pylypaka, S. F. (1998). Kinematychna interpretatsiia rukhu suprovidnykh tryhrannykiv Frene i Darbu cherez vnutrishni parametry kryvykh [Kinematical interpretation of the motion of the accompanying Fresnel and Darboux triangles through the internal parameters of the curves]. Naukovyi visnyk NAU, 4, 143-146.

Pylypaka, S. F., Nesvidomin, A. V. (2012). Modeliuvannia rukhu chastynky po shorstkii poverkhni paraboloida obertannia [Modeling the motion of a particle on a rough surface of a paraboloid of rotation] Prykl. heom. ta inzh. hraf., 89, 39-44.

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Published

2018-10-17

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