Development of the computer program of the model of Poinsot's rotation of the object with a fixed point

Authors

DOI:

https://doi.org/10.15587/2313-8416.2017.107547

Keywords:

Poinsot’s interpretation, moment of inertia, inertia ellipsoid, rolling of an ellipsoid, polhode, herpolhode

Abstract

A maple program for interpreting the Poinsot’s rotation of an object with a fixed point (Euler problem) is developed. In the computer animation mode, a graphical rolling model is obtained without sliding the ellipsoid of inertia of this object along one of its tangent planes. As a result, an image of the herpolhode is constructed on the tangent plane, and on the surface of the ellipsoid - it corresponds to the polhode

Author Biographies

Leonid Kutsenko, National University of Civil Protection of Ukraine Chernyshevska str., 94, Kharkiv, Ukraine, 61023

Doctor of Technical Sciences, Professor

Department of Engineering and Rescue Technology

Leonid Zapolsky, Ukrainian Research Institute of Civil Defense Rybalska str., 18, Kyiv, Ukraine, 01011

PhD, Senior Researcher, Head of department

Scientific and organizational department

References

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Saranchin, A. I., Corkishko, S. V. (2013). Solution of the Euler equations for a free gyroscope. Bulletin of the Maritime State University. Series: History of marine science, technology and education, 61/2013, 47–69.

Program rolling of ellipsoid in package MATHEMATICA. Available at: https://mathematica.stackexchange.com/questions/23297/how-can-i-simulate-a-pot-lid-rotating-around-an-axis-that-is-quickly-rotating

Savransky, D. Poinsot Construction. Available at: https://www.mathworks.com/matlabcentral/fileexchange/61433-poinsot-construction? focused=7212431&tab=function

Free Rotation of a Rigid Body: Poinsot Constructions. Available at: http://demonstrations.wolfram.com/FreeRotationOfARigidBodyPoinsotConstructions/

D Rigid Body Simulation Instructions. Available at: http://ialms.net/sim/3d-rigid-body-simulation/

Poinsot's construction. Polhode. Available at: https://www.youtube.com/watch?v=BwYFT3T5uIw

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Published

2017-07-31

Issue

Vol. 7 (2017)

Section

Technical Sciences

License

Copyright (c) 2017 Leonid Kutsenko, Leonid Zapolsky

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