Aircraft structure credible interval response determination method

Abstract

The invention discloses an aircraft structure credible interval response determination method. The method comprises the following steps: measuring sample points for acquiring parameters; representing the credibility information amount of the sample points by using an inverse distance entropy value, and determining an uncertain interval of a certain credibility corresponding to a single uncertain parameter in combination with a non-probabilistic credible set quantification theory; by utilizing a multi-dimensional space hyper-ellipsoid model for describing credible intervals of relevant parameters, providing a hyper-ellipsoid local coordinate system optimization solving method based on minimum volume surrounding, and obtaining an uncertain interval, corresponding to a certain credibility, of the relevant parameters in combination with a credible set quantification method of a single uncertain parameter; and solving uncertainty propagation by using a method including a Taylor expansion method to obtain an interval response of the structural response function containing credibility information. The uncertain interval of the corresponding aircraft structure response can be given according to the required credibility, and the method has the advantages of being simple, easy to implement and good in applicability in engineering application.

Description

technical field [0001] The invention relates to a method for determining the response of an aircraft structure credible interval, in particular to a method for determining the uncertainty structure credible interval based on a non-probability credible set quantification theory. Background technique [0002] The objective world is basically uncertain. The concept of uncertainty is of great significance in the fields of engineering, science, information theory, economics and management. For example, in aerospace engineering, there are various uncertainties in the aircraft structure itself and external loads. Therefore, uncertain factors need to be considered in the design, so as to improve the reliability of the aircraft while the structural mass is as small as possible. In modern physics, any two physical quantities that do not commute cannot determine their exact values ​​at the same time. Such uncertainty is the basis of quantum mechanics. In information theory, uncertain...

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Problems solved by technology

However, compared with the probability method, the non-probability quantitative method often only gives the interval estimation range of the true value, and lacks the evaluation of the credibility

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