Form invariance and conserved quantity for weakly nonholonomic system

Hui bin Wu; Feng xiang Mei

doi:10.1007/s10483-014-1863-9

Form invariance and conserved quantity for weakly nonholonomic system

Hui bin Wu^*, Feng xiang Mei

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

The form invariance and the conserved quantity for a weakly nonholonomic system (WNS) are studied. The WNS is a nonholonomic system (NS) whose constraint equations contain a small parameter. The differential equations of motion of the system are established. The definition and the criterion of form invariance of the system are given. The conserved quantity deduced from the form invariance is obtained. Finally, an illustrative example is shown.

Original language	English
Pages (from-to)	1293-1300
Number of pages	8
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	35
Issue number	10
DOIs	https://doi.org/10.1007/s10483-014-1863-9
Publication status	Published - 3 Oct 2014

Keywords

conserved quantity
form invariance
weakly nonholonomic system (WNS)

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10.1007/s10483-014-1863-9

Cite this

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abstract = "The form invariance and the conserved quantity for a weakly nonholonomic system (WNS) are studied. The WNS is a nonholonomic system (NS) whose constraint equations contain a small parameter. The differential equations of motion of the system are established. The definition and the criterion of form invariance of the system are given. The conserved quantity deduced from the form invariance is obtained. Finally, an illustrative example is shown.",

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Form invariance and conserved quantity for weakly nonholonomic system

Abstract

Keywords

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