 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 54, Issue 3 / 2019 | Next article >> |
| K.Yu. Osipenko, "Stability of Rectilinear Motion of a Cone Rotating Around the Axis of Symmetry," Mech. Solids. 54 (3), 429-434 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
3 |
Pages |
429-434 |
| DOI |
10.3103/S0025654419020067 |
| Title |
Stability of Rectilinear Motion of a Cone Rotating Around the Axis of Symmetry |
| Author(s) |
K.Yu. Osipenko (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia; Moscow State University of Civil Engineering, Yaroslavskoye sh. 26, Moscow, 129337 Russia, kirill-o@mail.ru) |
| Abstract |
The effect of constant friction on the stability of the rectilinear motion of a cone rotating around the axis of symmetry is considered. It is assumed that the lateral surface of the cone is seamlessly streamlined and that normal stresses and friction act on this surface, which are determined by the method of local interaction. Normal contact stresses are assumed to be proportional to the square of the normal velocity component, and friction is assumed to be constant modulo and acting in the direction of the inverse projection of the velocity vector onto the tangent plane. For frozen velocities of the center of mass and angular velocity of rotation around the axis of symmetry, asymptotic stability criteria are obtained in the form of a system of two inequalities that does not contain integrals. The effect of friction on the stability of the rectilinear motion of a homogeneous cone is studied in detail. |
| Keywords |
penetration, trajectory, rotation around the axis of symmetry, stability |
| Received |
12 October 2017 |
| Link to Fulltext |
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