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ЖУРНАЛЫ // Regular and Chaotic Dynamics // Архив

Regul. Chaotic Dyn., 2015, том 20, выпуск 6, страницы 739–751 (Mi rcd32)

Эта публикация цитируется в 18 статьях

Qualitative Analysis of the Dynamics of a Wheeled Vehicle

Alexey V. Borisov, Ivan S. Mamaev, Alexander A. Kilin, Ivan A. Bizyaev

Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Аннотация: This paper is concerned with the problem of the motion of a wheeled vehicle on a plane in the case where one of the wheel pairs is fixed. In addition, the motion of a wheeled vehicle on a plane in the case of two free wheel pairs is considered. A method for obtaining equations of motion for the vehicle with an arbitrary geometry is presented. Possible kinds of motion of the vehicle with a fixed wheel pair are determined.

Ключевые слова: nonholonomic constraint, system dynamics, wheeled vehicle, Chaplygin system.

MSC: 70F25, 37J60

Поступила в редакцию: 25.08.2015
Принята в печать: 29.10.2015

Язык публикации: английский

DOI: 10.1134/S156035471506009X



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