Abstract
Dynamic symmetry is a common phenomenon in mechanical product structures, and is used for describing the regular motion process over time in mechanical systems. It plays an important role in implementing product functions, transfering and transforming movement motion, increasing the strength of product functions, expanding the scope of the functions. For the case that the lack of research about dynamic symmetry and imperfection of symmetric system, based on the analysis of instances, a new concept system of mechanical dynamic structure symmetry was established by taking the different properties of the geometric character and the time character of the motion process as standards. The concept system is made up of rotation dynamic symmetry, translation dynamic symmetry, scaling dynamic symmetry, combinatorial dynamic symmetry, time-translation dynamic symmetry and time-inversion dynamic symmetry. Among the concept systemthe author has a symmetry theory analysis of many instances to verify the validity and rationality of the established symmetry concept system. Finally, the functions of dynamic symmetry in realizing the function of transferring or transforming motion, matching the space-time characters and improving the performance of mechanical product functions was proposed. The concept system can completely describes the existences of dynamic structure symmetries in mechanical systems, and can offer an academic basis for further research on the functions and application laws of dynamic structure symmetry in mechanical systems.
Highlights
Symmetry is a common phenomenon in the real world
Dynamic structure symmetry has various existing forms in mechanical product structures, which can be described as different properties of symmetry main body and symmetry
By designing the two main key elements of the motion process felicitously, geometrical character and the time character, the dynamic structure symmetry can realize the space-time characters of product functions
Summary
The structure of crystals, the shape of vertebrates, the artificial products such as autocars and airplanes all have symmetry In many domains, such as physics, biology, mathematics and philosophy, many people have researched the theory of symmetry for a long time and achieved a lot. Based on analysis of a lot of instances, this article established a concept system of mechanical dynamic structure symmetry, and proposed some functions of dynamic symmetry in realizing the functions of mechanical products. Liu and Ma structure symmetry is defined as following: if one or more structures have a regular motion process over time in a mechanical system, this mechanical system has dynamic symmetry. The structures from 1 to 6 all have dynamic structure symmetry because they all have a regular motion process.
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