A non-probabilistic reliability solution method for beam structures considering multiple failure modes

Abstract

The invention discloses a beam structure non-probabilistic reliability solving method capable of considering multi-failure modes. The correlation of two failure models including strength and rigidity is considered; firstly, existing multisource uncertain factors in material characteristics, environment external loading and the like are fully considered, interval mathematics and fuzzy mathematics are adopted to carry out quantization on the multisource uncertain factors and develop propagation analysis; then, the multisource uncertain factors are introduced into a general reliability solving theory, the non-probabilistic reliability solving method is developed, and on the basis of the method, the strength and rigidity reliability degree analysis of a beam structure can be independently carried out; and finally, the correlation of two failure models is comprehensively considered, a correlation constitutive relation equation is established, and the reasonable representation of the correlation among failure modes is realized. The method gives the comprehensive influence on structural strength reliability by different failure modes, can realize the comprehensive optimization design of the structural strength, and guarantees that the design gives consideration to safety and economy.

Description

technical field [0001] The present invention relates to the technical field of solving non-probabilistic reliability indexes of plate structures, in particular to the reasonable characterization and accurate measurement of their correlations under the joint action of multiple failure modes, the sensitivity analysis of each failure mode to the overall damage of the structural system, and Establishment and formulation of non-probabilistic reliability index solution method for structural failure. Background technique [0002] The beam structure has become the main choice of structural elements with excellent characteristics due to its advantages of easy processing, regular form, and mature forming technology. The beam structure is not only widely used in military fields such as aerospace, ships, weapons, etc. The most important components frequently appear in civil structural systems such as bridges and buildings. Therefore, the research on mechanical characteristic analysis a...

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Problems solved by technology

The above work has certain engineering practical value, but it ignores the degree of influence of the refined measurement of uncertain factors on structural reliability and the strong nonlinear correlation between interval variables, which greatly limits the engineering practical application of its theory process

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