Mechanics of Solids (about journal) 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

Russian Russian English English About Journal | Issues | Guidelines | Editorial Board | Contact Us
 


IssuesArchive of Issues2022-4pp.804-819

Archive of Issues

Total articles in the database: 12854
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): 8044
In English (Mech. Solids): 4810

<< Previous article | Volume 57, Issue 4 / 2022 | Next article >>
B.Ya. Lokshin and V.A. Samsonov, "On the Descent of a Skier Down a Straight Track," Mech. Solids. 57 (4), 804-819 (2022)
Year 2022 Volume 57 Number 4 Pages 804-819
DOI 10.3103/S0025654422040124
Title On the Descent of a Skier Down a Straight Track
Author(s) B.Ya. Lokshin (Institute of Mechanics, Lomonosov Moscow State University, Moscow, 119192 Russia, blokshin@imec.msu.ru)
V.A. Samsonov (Institute of Mechanics, Lomonosov Moscow State University, Moscow, 119192 Russia, samson@imec.msu.ru)
Abstract The movement of a skier in the process of acceleration down a straight track is considered. It is proposed to picture the skier as a bunch of two solid bodies linked to each other at a certain angle, one of which ("wing") has an aerodynamic quality. The choice of the desired mode of descent occurs due to the control moment applied at the point of contact of the body with the surface, and due to the choice of the mounting angle. The main attention is paid to the consideration of the question of the movement of this bunch of bodies, provided that the "skier's stance" does not change during the descent. It is shown that there is a certain value of the setting angle of the "wing", at which the maximum value of the descent speed is reached at any moment of time. This extreme value of the angle depends only on the aerodynamic characteristics of the force. Thus, it has been established that within the framework of the proposed mathematical model, in order to achieve the maximum possible descent speed, it is necessary to maintain a constant stance and body shape. The implementation of this extreme descent mode is limited only by the ability to provide the required control moment. It is shown that under certain conditions the reaction force is nullified, the body is separated from the surface, and with a continuing increase in speed. It has been established that after such a separation, there is no return to the surface; in the future, the body makes a free flight with access to the stable gliding mode.
Keywords straight track, descent, friction, aerodynamic effect, fixed stance, stability, speed maximization, liftoff
Received 21 September 2021Revised 22 November 2021Accepted 23 November 2021
Link to Fulltext
<< Previous article | Volume 57, Issue 4 / 2022 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 246, 119526 Moscow, Russia (+7 495) 434-3538 mechsol@ipmnet.ru https://mtt.ipmnet.ru
Founders: Russian Academy of Sciences, Ishlinsky Institute for Problems in Mechanics RAS
© Mechanics of Solids
webmaster
Rambler's Top100