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Form invariance and conserved quantity for weakly nonholonomic system

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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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Author information

Authors and Affiliations

  1. School of Mathematics, Beijing Institute of Technology, Beijing, 100081, P. R. China

    Hui-bin Wu  (吴惠彬) & Feng-xiang Mei  (梅凤翔)

Authors
  1. Hui-bin Wu  (吴惠彬)
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  2. Feng-xiang Mei  (梅凤翔)
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Corresponding author

Correspondence to Hui-bin Wu  (吴惠彬).

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 10932002, 10972031, and 11272050)

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Wu, Hb., Mei, Fx. Form invariance and conserved quantity for weakly nonholonomic system. Appl. Math. Mech.-Engl. Ed. 35, 1293–1300 (2014). https://doi.org/10.1007/s10483-014-1863-9

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  • DOI: https://doi.org/10.1007/s10483-014-1863-9

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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