NDLI: Conformal invariance and conserved quantity of Mei symmetry for higher-order nonholonomic system

Content Provider	Springer Nature Link
Author	Huang, Wei Li Cai, Jian Le
Copyright Year	2011
Abstract	The conformal invariance and conserved quantity of Mei symmetry for a higher-order nonholonomic mechanical system are presented. Introducing an infinitesimal transformation group and infinitesimal generator vector, the definition of conformal invariance of Mei symmetry and the determining equation for the holonomic system which corresponds to a higher-order nonholonomic system are provided, and the relationship between Mei symmetry and conformal invariance of the system is discussed. The basis of restriction equations and additional restriction equations, the conformal invariance of weak and strong Mei symmetry for the higher-order nonholonomic mechanical system is constructed. With the aid of a structure equation that the gauge function satisfies, the system’s corresponding conserved quantity is derived. Finally, an example is given to illustrate the application of the method and its result.
Starting Page	433
Ending Page	440
Page Count	8
File Format	PDF
ISSN	00015970
Journal	Acta Mechanica
Volume Number	223
Issue Number	2
e-ISSN	16196937
Language	English
Publisher	Springer Vienna
Publisher Date	2011-11-16
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Vibration, Dynamical Systems, Control Structural Mechanics Continuum Mechanics and Mechanics of Materials Theoretical and Applied Mechanics Engineering Thermodynamics, Heat and Mass Transfer Classical Continuum Physics
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

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