摘要
ThispaperpresentstheMeisymmetriesandnewtypesofnon-Noetherconservedquantitiesforahigher-ordernonholonomicconstraintmechanicalsystem.Onthebasisoftheforminvarianceofdifferentialequationsofmotionfordynamicalfunctionsundergeneralinfinitesimaltransformation,thedeterminingequations,theconstraintrestrictionequationsandtheadditionalrestrictionequationsofMeisymmetriesofthesystemareconstructed.ThecriterionsofMeisymmetries,weakMeisymmetriesandstrongMeisymmetriesofthesystemaregiven.Newtypesofconservedquantities,i.e.theMeisymmetricalconservedquantities,theweakMeisymmetricalconservedquantitiesandthestrongMeisymmetricalconservedquantitiesofahigher-ordernonholonomicsystem,areobtained.Then,adeductionofthefirst-ordernonholonomicsystemisdiscussed.Finally,twoexamplesaregiventoillustratetheapplicationofthemethodandthentheresults.
出版日期
2011年03月13日（中国期刊网平台首次上网日期，不代表论文的发表时间）
