Modeling And Analysis Of Special Energy Aggregation Structure Based On Fractal Theory

This paper investigates the existing 88 × HEHESUBIAO structure which has the energy aggregation effect and has been widely applied in the fields of medicine and biology. The mechanism of the structure has not been appropriately studies and it has only a single form; thus it deserves investigation.In this paper, the fractal theory is used to establish a special energy aggregation structure(SEAS) model. The functional unit of the SEAS is found through a comprehensive study of the built model. The fractal growth of the SEAS model and the nested fractal iteration are derived. The n-dimension and k-order iteration SEAS model is obtained. According to the resultant model, a one-dimensional plane SEAS sample and a one-order nesting SEAS sample are designed. It is found that the SEAS has a memory function. The theory and analysis method is proposed based on the structure information field and used to study and analyze the SEAS.Based on the fractal theory, this paper models and analyzes the special energy aggregation structure. The main contributions are listed as follows.(1) This paper summarizes the results of the existing 88 × HEHESUBIAO structure and analyzes the symmetry of parameter distribution of the original 88 × HEHESUBIAO structure. It is found that the parameters of the structure have the fractal feature and the feature of the set T of the structure. The concept of feature entropy is proposed with the maximum feature entropy as the objective function, symmetry constraints, and the mathematical model of the structure. The system that is described by the feature set T is not restricted by its shapes and the system that has the same feature set is called the special energy aggregation structure(SEAS). The existing 88 × HEHESUBIAO structure is a subset of the SEAS.(2) Depending on the nature of entropy, it is found that the SEAS feature set T is the smallest functional unit. Using the theory of fractal growth, iterative formula of parameter matrix of n-dimensional SEAS is deduced. After comparing the advantages of one-dimensional and two-dimensional samples, it is found that the performance of the high dimension SEAS is superior to the one of the lower dimension SEASs.(3) The fractal geometry is used in the design of SEAS. The nested fractal iterative model of SEAS is obtained and the performance of SEAS of different shapes is compared with different parameters such as duty cycle, similar fractal dimensions and perimeter fractal dimensions. Two differently shaped nested samples are designed. The experimental results show that the structure of nested iteration can improve the performance without changing the overall size of the structure.(4) The SEAS is found to have memory function. After the removal of the SEAS, the original field effect of the SEAS still exists for some time around the place. The concept of structural information is proposed. The structure forms a direct impact on the SEAS function, depending on the close relationship between the function of SEAS and structure parameters and arrangement. The SEAS is stutied by analytical methods of field theory. There is a structural information field around the SEAS. According to the analysis structural information field, the performance of high-dimensional SEAS is much superior to the low-dimensional SEAS and the SEAS performance is improved after nesting.According to the SEAS of the established model, a plane 88 × SEAS sample is designed. The experimental results show that the sample has the same functionality with the existing 3D 88 × HEHESUBIAO structure. Several other types of plane SEAS samples are designed and the experimental results show that there is a function of energy aggregation effects.Compared with the existing 3D 88 × HEHESUBIAO structure, the plane SEAS is easier to be implemented in some applications. For example, in the field of medical applications, the plane structure is more suitable for the treatment of ambulatory patients. The patients will feel less uncomfortable as posture changes. It is more suitable for patients who move inconveniently, such as paralyzed and/or bedridden persons after surgery, such as infants and young children. In addition, the planar structure is lightweight and convenient. The 81× SEAS has greatly reduced complexity compared to the original 3D 88 × HEHESUBIAO structure; thus it is easier to achieve miniaturization and lower manufacturing costs. The SEAS can be nested without increasing the overall size of the structure. The performance can be improved by increasing the complexity of the structure. All SEASs are unrestricted by shapes and materials. It can be flat and can also be three-dimensional. The existing 88 × HEHESUBIAO structure is a subset of the SEASs.