Mechanism time-variation reliability analysis method

Abstract

The invention discloses a mechanism time-variation reliability analysis method, which is applied to the field of mechanism time-variation reliability. For the problem that actual engineering reliability cannot be described completely and accurately in the prior art, effective diffusion points on upper and lower boundaries are solved through an envelope equation; uncertainty random information of non-normal distribution is adopted as a random variable input; kinematic error sample points corresponding to the diffusion points under the uncertainty random variable input are obtained; correlationof the kinematic error sample points corresponding to the diffusion points is described through a copula function; and multidimensional joint probability density functions corresponding to the diffusion points are built through a characteristic of multidimensional distribution function decomposition of a vine-copula function, so that a definite integral is solved for obtaining the time-variation reliability. Therefore, a conventional normal distribution hypothesis is popularized as the non-normal distribution; and the method has relatively high practical values and relatively strong engineering significance.

Description

technical field [0001] The invention belongs to the field of mechanism time-varying reliability, and in particular relates to a mechanism time-varying reliability analysis technology under uncertain conditions. Background technique [0002] The time-varying reliability analysis based on uncertainty is to analyze the time-varying reliability of the mechanism through the probabilistic method by considering the influence of material properties, manufacturing, assembly and other aspects on the output of the mechanism. In the actual working process of the mechanism, due to the impact on the dimensional variables of the mechanism during the manufacturing and assembly process, the physical wear and tear based on different material properties also have an impact on the size of the mechanism during the operation of the mechanism. These factors are time-varying In reliability analysis, they are collectively referred to as uncertainty factors. The time-varying reliability analysis met...

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Problems solved by technology

[0004] In order to solve the problem that the existing technology cannot completely and accurately describe the actual engineering reliability, the present invention proposes a time-varying reliability analysis method for mechanisms, by extending the traditional random variable input with normal distribution to other distribution-based envelope methods and Vine-copula function mechanism time-varying reliability analysis method; and by calculating multiple effective diffusion points on the time interval, and describing the correlation between each diffusion point according to the Vine-copula function, multiple diffusion points are established The joint probability function between them solves the time-varying reliability; under the premise of ensuring the calculation accuracy, the reliability analysis of calculating the uncertainty input of non-normal distribution is realized

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