Research on Existences and Concept System of Reversal Symmetry in Mechanical Systems

Abstract

Reversal symmetry is one kind of mechanical static structure symmetry, grouped by rotation symmetry and mirror symmetry, widely exists in structures of mechanical products. On the basis of research on the concept systems of rotation symmetry and mirror symmetry and based on analysis of a lot of instances, the concept system of reversal symmetry was established by taking the independence of symmetry components, the directivity of symmetry components, the rotary type of symmetry components and the dimensionality of symmetry components as standards. Accurate instances were particularized to explaining and verifying the concept system. The further research of the application laws of reversal symmetry can benefit from this research result.