Dynamics of the Chaplygin Sleigh on a Horizontal Plane with Friction

被引：0
|
作者：
Shamin, A. Yu. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119899, Russia
来源：
MOSCOW UNIVERSITY MECHANICS BULLETIN | 2020年 / 75卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.3103/S0027133020010033
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The equations of motion of the Chaplygin sleigh on a horizontal plane with friction are obtained. A geometric interpretation of the continuous motion is given. It is proved that the motion of the sleigh stops in a finite time. Some properties of the motion process are discussed.
引用
收藏
页码：13 / 20
页数：8
相关论文
共 50 条
  • [41] Parametric roll oscillations of a hydrodynamic Chaplygin sleigh
    Loya, Kartik
    Tallapragada, Phanindra
    NONLINEAR DYNAMICS, 2023, 111 (22) : 20699 - 20713
  • [42] ON THE MOTION OF CHAPLYGIN'S SPHERE ON A HORIZONTAL PLANE.
    Moshchuk, N.K.
    Journal of Applied Mathematics and Mechanics, 1983, 47 (06) : 733 - 737
  • [43] Steering a Chaplygin Sleigh Using Periodic Impulses
    Tallapragada, Phanindra
    Fedonyuk, Vitaliy
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2017, 12 (05):
  • [44] A Variational Integrator for the Chaplygin-Timoshenko Sleigh
    An, Zhipeng
    Gao, Shan
    Shi, Donghua
    Zenkov, Dmitry V.
    JOURNAL OF NONLINEAR SCIENCE, 2020, 30 (04) : 1381 - 1419
  • [45] Chaplygin sleigh with periodically oscillating internal mass
    Bizyaev, Ivan A.
    Borisov, Alexey V.
    Kuznetsov, Sergey P.
    EPL, 2017, 119 (06)
  • [46] Parametric roll oscillations of a hydrodynamic Chaplygin sleigh
    Kartik Loya
    Phanindra Tallapragada
    Nonlinear Dynamics, 2023, 111 : 20699 - 20713
  • [47] LIMIT CYCLE ANALYSIS AND CONTROL OF THE DISSIPATIVE CHAPLYGIN SLEIGH
    Fedonyuk, Vitaliy
    Tallapragada, Phanindra
    Wang, Yongqiang
    PROCEEDINGS OF THE ASME 10TH ANNUAL DYNAMIC SYSTEMS AND CONTROL CONFERENCE, 2017, VOL 2, 2017,
  • [48] Semistability Analysis of the Chaplygin Sleigh and Nonsmooth Mechanical Oscillator
    Pushpak, N. Sai
    Mahindrakar, Arun D.
    Ekbote, Anup
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2014, 136 (03):
  • [49] Switched Passivity-Based Control of the Chaplygin Sleigh
    Ferguson, Joel
    Donaire, Alejandro
    Middleton, Richard H.
    IFAC PAPERSONLINE, 2016, 49 (18): : 1012 - 1017
  • [50] Sinusoidal control and limit cycle analysis of the dissipative Chaplygin sleigh
    Fedonyuk, Vitaliy
    Tallapragada, Phanindra
    NONLINEAR DYNAMICS, 2018, 93 (02) : 835 - 846
12345