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On a Nonholonomic System Serving as a Model of a Four‐Wheeled Vehicle
Author(s) -
Lobas L. G.
Publication year - 1979
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19790590204
Subject(s) - nonholonomic system , motion (physics) , scheme (mathematics) , equations of motion , classical mechanics , differential (mechanical device) , differential equation , generalized coordinates , computer science , physics , control theory (sociology) , mathematics , mathematical analysis , artificial intelligence , robot , mobile robot , control (management) , thermodynamics
The nonholonomic system considered in this study consists of absolutey solid bodies. Their configuration is described by eight generalized coordinates, their motion obeys to six equations of nonholonomic constraints. The differential equations have two first integrals. The free, steered and programmed motion was investigated. The effects of the longitudinal distribution of the masses of the system are described, recommendations are given for an effective choise of a design scheme of the vehicle.