Research on Concept System of Mechanical Scaling-Rotation Symmetry

Abstract

Scaling-rotation symmetry is combined by rotation symmetry and scaling symmetry, belongs to mechanical static structure symmetry, and widely exists in mechanical systems. Scaling-rotation symmetry plays an important role in realizing the technical, economic and social performances of mechanical products. Based on the concept system of rotation symmetry and the research on large numbers of instances, taking the directivity, the rotary type and the alternations of symmetry components, the types of symmetry benchmark, and the variable type of scaling as standards, the concept system of scaling-rotation symmetry was established. The concept system can provide a theoretical basis for the further research on the application of scaling-rotation symmetry in mechanical systems.