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The general mechanics equation of the system with nonholonomic constraints
Author(s) -
Osinski Z.
Publication year - 2000
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.20000801418
Subject(s) - nonholonomic system , analytical mechanics , representation (politics) , equations of motion , basis (linear algebra) , motion (physics) , mathematics , computer science , classical mechanics , calculus (dental) , algebra over a field , physics , robot , geometry , artificial intelligence , pure mathematics , medicine , dentistry , quantum mechanics , politics , political science , quantum dynamics , law , quantum , mobile robot
The paper presents the method for preparing the general mechanics equation and obtaining the equation of motion for the system with nonholonomic equations. The concept of generalised forces together with related quasicoordinates, quasivelocities and quasiaccelerations is applied. Presented form of the general equation is a uniform representation replacing equivalently known mechanics principles, This form of the equations is a good basis for the computer aided design incorporating symbolic calculus required for description of mechanical systems with nonholonomic constraints.