Event Sace Single-side Chetaev Nonholonomic System Symmetry And Conservation

In early stage, in architecture and art, symmetry is used as a kind of aesthetic standard to view. But hysicists do not want to put the symmetry theory only limited to the descrition of nature. Therefore, hysicists alied this theory to hysics, as a kind of means to study on the laws of hysics, so it has become a key direction to the develoment of analytic mechanics.This thesis will study the symmetries and conserved quantities, in event sace nonholonomic systems, with the theoretical basis of unilateral constraints and Chetaev tye condition get a single Chetaev tye of non equations of motion differential holonomic system in event sace. Starting from this conclusion, resectively with two angles of forward roblem and inverse roblem, discussed the related content of Noether symmetry and conserved quantity, the Lie symmetry and conserved quantity and the Mei symmetries and conservedquantities of the system, and verified the conclusion; then, discussthe single tye of Chetaev in eventsace, conformal invariance of nonholonomic systems, and the exression of the conservation quantity; furthermore, Combining with conformal invariance and Mei symmetry theory, get the single Chetaev tye non symmetry of Mei integrated system conformal invariance and the form of the conserved quantitiesin event sace.