Reliability analysis method for hybrid uncertainty structure

Abstract

The invention discloses a reliability analysis method for a hybrid uncertainty structure. The method comprises the steps: firstly, respectively adopting a random variable and an interval variable to represent a random uncertainty parameter and a cognitive uncertainty parameter; generating a probability representative point and an attached probability according to a probability density function ofthe random variable; for each probability representative point, calculating upper and lower bound values of a structure performance function in an interval variable distribution interval; finally, according to the PDEM, numerically solving a generalized probability density evolution equation, and acquiring a structural reliability distribution interval. According to the method, the defects of poorprecision, low calculation efficiency and narrow application range of a traditional reliability analysis method under the hybrid uncertainty are overcome, the method better conforms to engineering practice, and a foundation is laid for reliability-based hybrid uncertainty structural design and optimization.

Description

technical field [0001] The invention relates to the field of structural reliability analysis methods, in particular to a reliability analysis method for mixed uncertainty structures. Background technique [0002] The high-level and high-efficiency design and construction of engineering structures play a decisive role in the rapid development of the national economy. Engineering structures are full of various uncertainties related to structural resistance and external loads in the process of design and construction, and the existence of uncertainties has an important impact on the quality and safety of engineering structures. If the uncertainty is ignored in actual engineering, it will affect the structural performance and even bring catastrophic accidents. Therefore, the reliability analysis theory with uncertainty structure is one of the key research contents in engineering practice. Uncertainty is often divided into two categories in the existing research: random uncerta...

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Problems solved by technology

[0004]In practical activities, the actual structure is often a mixed uncertainty structure, and two types of uncertainties exist at the same time. The more mature stochastic uncertainty structural reliability theory and The method cannot solve such problems, and the existing solutions have defects such as low calculation efficiency, poor precision, and narrow application range, which hinder their practical application.

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