Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A numerical approach for hybrid reliability analysis of structures under
  mixed uncertainties using the uncertainty theory   This paper presents a novel numerical method for the hybrid reliability
analysis by using the uncertainty theory. Aleatory uncertainty and epistemic
uncertainty are considered simultaneously in this method. Epistemic uncertainty
is characterized by the uncertainty theory, and the effect of epistemic
uncertainty is quantified by the sub-additive uncertain measure. Then, under
the framework of the chance theory which can be interpreted as the combination
of the probability theory and the uncertainty theory, a general uncertainty
quantification model is established to deal with the hybrid reliability
analysis problem, then the corresponding reliability metric is defined. After
that, to improve the feasibility of the proposed model, by utilizing the polar
coordinate transformation based dimension reduction method, a numerical
analysis method for the hybrid reliability model are provided. At last, several
application cases are presented to prove the effectiveness of the proposed
method for the reliability analysis under hybrid uncertainty. The comparisons
between the results of the proposed method and the Monte Carlo simulation also
illustrate the merit of this method.

36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an