Research on Concept System of Rotation-Mirror Symmetry in Mechanical Systems

Abstract:

Mechanical rotation-mirror symmetry is grouped by rotation symmetry and mirror symmetry, and belongs to mechanical static structure symmetry. Collecting and Analyzing a lot of rotation-mirror symmetric instances, and referring to the researches on concept systems of rotation symmetry and mirror symmetry, the concept system of rotation-mirror symmetry was established. The concept system is classified by discrete mirror and continuous mirror rotation-mirror symmetry, unidirectional rotation and bidirectional rotation rotation-mirror symmetry, directed rotation and deflecting rotation rotation-mirror symmetry, entire rotation and partial rotation rotation-mirror symmetry. The concept system can completely contain all kinds of existence of rotation-mirror symmetry in mechanical systems.

• Periodical: Applied Mechanics and Materials (Volumes 201-202)
• Pages: 7-10
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.201-202.7
• Online since: October 2012
• Authors: Zhi Yong Ma
• Keywords: Concept System, Rotation-Mirror Symmetry, Standard of Classification, Symmetry Benchmark, Symmetry Component

References

[1] P.E. Feng, Z.Y. Ma and Q.Y. Qiu: Progress in Nature Science Vol. 18(2008), pp.1441-1450

[2] Z.Y. Ma, P.E. Feng, Q.Y. Qiu: Journal of Zhejiang university(Engineering science) Vol. 44(2010), pp.2354-2359

[3] Z.L. Li, Y.L. Lin (Translatuon): Modern machine wikipedia(First Volume)(World Publishing Corporation, Beijing 1990).

[4] Z.Y. Ma, P.E. Feng, J. Zhang: "Research on Mechanics Symmetry Ontology" in World Congress on Engineering 2008 (London, UK. Newswood Limited, UK, 2008) pp.1478-1486.

[5] W.B. Yang: Rules and instances of mechanical structure design (China Machine Press, Beijing 1997).

[6] L.S. Zhu, Y.P. Tang and H.Z.n Bin: Journal of Shanghai university Vol. 12(2008), pp.152-157