Abstract

For improving the reliability of key components in an airborne pod, gray system theory is introduced into the virtual design of airborne pod. Based on this theory, key components of airborne pod are analyzed and mathematical models of the gray relational model and absolute and relative gray relational model are established, respectively. The differences and relations of the three methods for evaluating the robustness of products are researched. Considering the influence of relevant factors, the change rate of each evaluation index is calculated, and the reliability analysis of the airborne pod body is realized ultimately. Finally, the No. 2 test pod body is the optimal solution, which provides an effective theoretical basis for determining the optimal structure of the airborne pod body.

Highlights

  • For any mechanical system, in order to make the design, development, and manufacturing reliable, that is, to study its reliability, it is necessary to study the reliability of a mechanical system

  • Scholars have conducted a series of research and exploration in the field of reliability analysis in view of the diversity and complexity of mechanical structure reliability. e most commonly used methods are probability statistics, fuzzy mathematics, evidence theory, and gray system theory

  • After consulting the relevant literature, the application research of uncertain systems in various engineering fields has made corresponding progress, for example, combining the analysis method and the checkpoint method with the MATLAB software platform to improve the reliability of key component analysis [3]. e gray system is extended to the theory of probability statistics, the gray probability density function and gray reliability calculation method are studied, and the gray reliability calculation model of stress intensity interference is established [4]

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Summary

Introduction

In order to make the design, development, and manufacturing reliable, that is, to study its reliability, it is necessary to study the reliability of a mechanical system. For the grey system [1], the reliability of a mechanical engineering system describes the ability of the system to accurately, timely, and coordinately complete specified tasks under specified conditions and within a specified time. When this ability is measured with probability, it is reliability [2]. An algorithm based on the self-help method and fuzzy mathematics is proposed, and a fuzzy self-help fuzzy mathematics model based on fusion of bad information objects is established. Combining the evidence theory analysis method, an effective model and an efficient and reliable mechanical structure are proposed [7]. According to the relevant literature review, the existing research content rarely sees the grayness in the structural design of aeronautical products, especially airborne equipment. is article is based on this purpose

Establishment of the Mathematical Model
Establishment of Dun’s Grey Correlation Model
Correlation Coefficient Sequence and Relevance
Generalized Grey Relational Analysis Model
Grey Absolute Correlation Method
Evaluation coefficient e
Similarity Gray Correlation Degree and the Proximity Gray Correlation Degree
Conclusions

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