Open AccessDamped brachistochrone problem and the relation between constraint and theorem of motion
Author(s) -
Ding Guang-Tao
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.070201
Subject(s) - holonomic , nonholonomic system , holonomic constraints , motion (physics) , integrable system , zero (linguistics) , classical mechanics , constraint (computer aided design) , physics , relation (database) , mathematics , mathematical physics , computer science , geometry , linguistics , philosophy , database , artificial intelligence , robot , mobile robot , quantum mechanics
The damped brachistochrone problem and that with non-zero initial velocity are studied. Based on the discussion of these problems, one may take theorems of motion as constraints for some systems, and whether the constraints are holonomic or nonholonomic is related to the fact that the differential theorems of motion are integrable or non-integrable.