Noether’s rIheorem of Non-Holonomic Systems with Unilateral Constraints Relative to Non-Inertial Reference Frame

Liang Jinghui

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  • Sponsored by: China Association for Science and Technology (CAST)

    Editor-In-Chief: Xu Yida

    ISSN 1000-1093

    　

  • Hosted By: China Ordnance Society

    Published By: Acta Armamentarii

    CN 11-2176/TJ

Acta Armamentarii, a Chinese monthly journal, was first published in 1979. The journal is supervised by China Association for Science and Technology, sponsored by China Ordnance Society，and edited and published by Editorial Board of Acta Armamentarii. The Journal is included in all important domestic databases，and also collected by Engineering Index (EI, USA), Chemical Abstracts (CA, USA), Science Abstracts (SA, UK）, Abstract Journal (AJ, Russia), and Current Bibliography on Science and Technology(CBST).Acta Armamentarii has been selected into the journal Of Ordnance Science and Technology (Weapons Industry) Field Of High Quality Scientific and Technological Periodical Classification Catalogue (2022 edition), ranking T1, and the journal of Automotive Engineering Field of High Quality Scientific and technological Periodical classification Catalogue, ranking T2.
Acta Armamentarii ›› 2001, Vol. 22 ›› Issue (3) : 352-354. DOI: 10.3969/j.issn.1000-1093.2001.03.017
Paper

Noether’s rIheorem of Non-Holonomic Systems with Unilateral Constraints Relative to Non-Inertial Reference Frame

  • Liang Jinghui
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Abstract

Principle of dr Alembert-Lagrange for a system relative to a non-inertial reference frame and non-isochronal variation is first presented. Noether’s theorem and her inverse theorem for the above system relative to a non-inertial reference frame are then studied，based upon the invariance of the differential variational principle under infinitesimal transformations. An example to illustrate the application of the result is finally given.

Key words

analytical mechanics / unilateral constraint / non-holonomic system / non-inertial refer?ence frame / Noether'S theorem / Noether’s inverse theorem

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Liang Jinghui. Noether’s rIheorem of Non-Holonomic Systems with Unilateral Constraints Relative to Non-Inertial Reference Frame. Acta Armamentarii. 2001, 22(3): 352-354 https://doi.org/10.3969/j.issn.1000-1093.2001.03.017

References

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