外文翻译--基于钢-混凝土粘接组合梁可靠度优化设计的概率和非概率不确定性(编辑修改稿)

外文翻译--基于钢-混凝土粘接组合梁可靠度优化设计的概率和非概率不确定性(编辑修改稿)内容摘要：

s under the bination of random and interval their study,a procedure for seeking the worstcase bination of the interval variables is embedded into the probabilistic reliability analysis. As the literature survey shows,the existing studies mainly focus on solving the bination of random/interval variables. Basically,the interval set does not account for the dependencies among the bounded uncertainties,which can be regarded as the simplest instance of the setvalue based convex to the unpredictability of structural parameters and the impossibility of the acquisition of sufficient uncertainty information,problems of structural optimization must be solved in the presence of various types of uncertainties,which remains a challenging problem in realistic systems [32].As a consequence,apractical and efficient reliabilitybased design optimization being capable of quantifying probabilistic and nonprobabilistic uncertainties,as well as associated numerical techniques,should be fully developed and adopted in the professional practice of adhesive bonded steelconcrete posite beam design. In this paper,using the mathematical definition of structural reliability index based on probability and convexsetmixed model [33],a nested optimization formulation with constraints on such mixed reliability indices for the adhesive bonded steelconcrete 4 posite beam is first improving the convergence and the stability insolving suboptimization problems,the performance measure approach (PMA) [34] is skillfully employed. Then,the sequential approximate programming approach embedded by an iterative scheme is proposed for converting the nested problem into a serial of deterministic ones, which will greatly reduce the burdensome putation workloads in seeking the optimal paring with the direct nested doubleloop approach,the applicability and the efficiency of the proposed methods are demonstrated by aclassical mathematical ,the reliabilitybased optimization designs of a single span adhesive bonded steelconcrete posite beam are achieved through integrating the present systematic method,the finite element analysis program and the gradientbased design optimization package CFSQP [35]. 2. RBDO of adhesive bonded steelconcrete posite beams . Description of probabilistic and nonprobabilistic uncertainties In practice engineering,the uncertain parameters involved in the design problem can be classified into probabilistic uncertainties (denoted by X= { X1,X2， … ， Xm } T） and nonprobabilistic uncertainties (denoted by Y= { Y1,Y2， … ， Ym } T） according to their available input is desirable to select the best suitable models to respectively describe these different types of uncertainties. Undoubtedly,the probabilistic uncertainties X can be modelled as stochastic variables with certain distribution characteristics,which are expressedas where fx（ x） is the joint probability density function. X= { X1,X2， … ， Xm } T） represents the realization of the variables X. In the classical probabilistic framework[36],the structural reliability is given as where Pr [] denotes the probability, g（ X） is a limitstate function an。