Research On Function Principle And Application Method Of Mirror Symmetry In Machine

Symmetry widely exists in mechanical system, and mirror symmetry is one of the oldest and most well-known symmetry type. The significance of this research is to stimulate the comprehensive study of other symmetry types, and to improve mechanical design and innovation with the mechanical symmetry knowledge for better technical, economic and social performance. About 600 instances concerning mechanical symmetry and asymmetry were collected, and the state of existence, function principle and mutual relations of various symmetry and asymmetry in each instance were analyzed. Basing on refining and summarizing the analysis of instances, this paper establishes the function principle and application method of mirror symmetry from the consideration of design requirements. First, the concept system of mechanical mirror symmetry classified by function, principle, structure symmetry, and static, dynamic symmetry, and single, multi symmetry is presented. And then, the functions of mechanical mirror symmetry are revealed which include intensifying function or improving performance in many ways, meeting the requirements of continuity in time and achieving the design requirements with mirror symmetry. Meanwhile, the functions of mechanical structure mirror symmetry including achieving function and principle symmetry, achieving common design principles and rules, and improving products economic performance are also revealed, and the relationship between structure, principle and function symmetry is discussed. After describing the applications of some other symmetry types, the similarity, difference and the complex application between mirror, translation and rotation are analyzed. Asymmetry is the performance of symmetry breaking. Based on samples, the causation of mirror symmetry breaking and its functions are discussed. The knowledge mining system of mechanical symmetry samples is used to assist mirror symmetry knowledge discovery by association analysis. Finally, there is a summarization of this paper, and some prospects are proposed, such as comparative analysis of symmetry, asymmetry, innovative design with symmetry and the evaluation of symmetry degree.