Structural reliability analysis method based on novel test design and weight response surface

Abstract

The invention discloses a structural reliability analysis method based on a novel test design and a weight response surface. The method comprises the following steps: determining a test point of a first iterative response surface according to a star design method; fitting through a weighted least square method to obtain a current iterative response surface; obtaining a reliability design point anda reliability index of the current iterative response surface through a first-order reliability method; according to the previous iterative response surface, determining a fitting sample of the iterative response surface through a novel design method; if the response surfaces of two adjacent iterations meet a preset convergence condition, stopping iteration; calculating the failure probability ofthe structure by using a Monte Carlo simulation method according to the response surface obtained by the last iteration. According to the method, a new fitting sample is solved by combining a currentresponse surface equation and a design point, and a weighting mechanism is introduced, so that the precision and the calculation efficiency of the response surface method are effectively improved.

Description

technical field [0001] The invention belongs to the field of reliability engineering, in particular to a structural reliability analysis method based on novel test design and weighted secondary response surface. Background technique [0002] Reliability, as one of the main indicators and key technical indicators of product quality, has been widely concerned and valued by the engineering community. Reliability technology runs through all aspects of product design, manufacturing, and maintenance. During normal use, engineering structures not only have their own uncertainties (such as the randomness of parameters such as material properties, external loads, and dimensions), but also suffer from uncertainties brought about by man-made or natural environments. In traditional engineering design, the safety factor is used to ensure the relative stability of the designed structure, and the ratio of the expected strength response of the structure to the expected load is usually used...

AI Technical Summary

Problems solved by technology

However, the traditional response surface method uses the "star design method" when selecting the test points. This method only considers the effective information of the reliability design point when selecting the design points, and ignores other factors that can be represented by the current iterative response surface. information

In addition, when the "star design method" selects the test points, the selected deviation distance is fixed. When the response surface construction is relatively accurate, the position of the reliability design point changes little, and the selected test points will be concentrated at this time. In some areas, resulting in lower algorithm accuracy and efficiency

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