Аннотация:
In this paper we investigate the dynamics of a system that is a generalization of the Chaplygin sleigh to the case of an inhomogeneous nonholonomic constraint. We perform an explicit integration and a sufficiently complete qualitative analysis of the dynamics.
Ключевые слова:
сани Чаплыгина, неоднородные неголономные связи, законы сохранения, качественный анализ, резонанс.
Ali Ahmadi, Mahdi Gorji, Ahmad Peymaei, Kimia Khosravi Soofi, Ali Kamali, “Autonomous swimming on limit cycles with disturbance rejection capability for a fish-inspired robot”, Nonlinear Dyn, 2024
Alexander A. Kilin, Elena N. Pivovarova, “Bifurcation analysis of the problem of a “rubber” ellipsoid of revolution rolling on a plane”, Nonlinear Dyn, 2024
Evgeniya Mikishanina, “The problem of acceleration in the dynamics of a double-link wheeled vehicle with arbitrarily directed periodic excitation”, Theor. Appl. Mech., 50:2 (2023), 205–221
Е. А. Микишанина, “Неголономные механические системы на плоскости с переменным углом наклона”, Журнал СВМО, 25:4 (2023), 326–341 [E. A. Mikishanina, “Nonholonomic mechanical systems on a plane with a variable slope”, Zhurnal SVMO, 25:4 (2023), 326–341]
Shumin Man, Qiang Gao, Wanxie Zhong, “High order symmetric algorithms for nonlinear dynamical systems with non-holonomic constraints”, Mathematics and Computers in Simulation, 212 (2023), 524
Evgeniya A. Mikishanina, “Dynamics of the generalized penny-model on the rotating plane”, Eur. Phys. J. B, 96 (2023), 15–8
Е. М. Артемова, А. А. Килин, Ю. В. Коробейникова, “Исследование орбитальной устойчивости прямолинейных качений роллер-рейсера по вибрирующей плоскости”, Вестн. Удмуртск. ун-та. Матем. Мех. Компьют. науки, 32:4 (2022), 615–629
E. A. Mikishanina, “Qualitative Analysis of the Dynamics of a Trailed
Wheeled Vehicle with Periodic Excitation”, Rus. J. Nonlin. Dyn., 17:4 (2021), 437–451
Alexander A. Kilin, Elena N. Pivovarova, “Qualitative Analysis of the Nonholonomic Rolling of a Rubber Wheel with Sharp Edges”, Regul. Chaotic Dyn., 24:2 (2019), 212–233
V. Fedonyuk, Ph. Tallapragada, “Sinusoidal control and limit cycle analysis of the dissipative Chaplygin sleigh”, Nonlinear Dyn., 93:2 (2018), 835–846
А. П. Иванов, “Об особых точках уравнений механики”, Докл. РАН, 479:5 (2018), 493–496; A. P. Ivanov, “On singular points of equations of mechanics”, Dokl. Math., 97:2 (2018), 167–169
И. А. Бизяев, “Сани Чаплыгина с движущейся точечной массой”, Вестн. Удмуртск. ун-та. Матем. Мех. Компьют. науки, 27:4 (2017), 583–589
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Chaplygin Sleigh with Parametric Excitation: Chaotic Dynamics and Nonholonomic Acceleration”, Regul. Chaotic Dyn., 22:8 (2017), 955–975
Цитирование в формате AMSBIB
Обратная связь: