Premium
Dynamics of Nonholonomic Systems
Author(s) -
Mladenova C.
Publication year - 1995
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.19950750304
Subject(s) - nonholonomic system , tangent space , basis (linear algebra) , manifold (fluid mechanics) , motion (physics) , tangent , dynamics (music) , space (punctuation) , mathematics , group (periodic table) , configuration space , positive definiteness , equations of motion , classical mechanics , mathematical analysis , computer science , physics , geometry , engineering , robot , mechanical engineering , eigenvalues and eigenvectors , quantum mechanics , acoustics , positive definite matrix , mobile robot , operating system , artificial intelligence
The present paper considers Hamel's equations of motion for nonholonomic systems in terms o] pseudo‐coordinates and gives an efficient method (for definiteness it is called Hamel's method) for obtaining the reaction forces. The group of the nonholonomic operators is defined and its group structural constants are given. On the basis of the geometrical language it is outlined how the equations of motions are simplified when the system dynamics is considered in the tangent space of the configurational manifold.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom