基于自适应Kriging元模型的非完整壳体可靠性优化设计
Reliability-based design optimization of imperfect shells using adaptive kriging meta-models
摘要：
在过去的十年里，由于制造商以最低的成本建造鲁棒系统的需求不断增加，结构的优化和鲁棒设计得到了广泛的关注。基于可靠性的设计优化（RBDO）允许分析人员最小化一些成本函数，同时确保一些最小的性能铸造作为一组性能函数的容许故障概率。为了解决现实世界中的问题，其中的性能是通过计算模型（如大型有限元模型）评估元建模技术已在过去的十年中开发。本文引入自适应克里格代理模型来解决RBDO问题。后者被铸造在一个增强的空间，“总结”的范围内的设计空间和偶然的不确定性的设计参数和环境条件。因此，替代模型用于（i）评估故障概率的稳健估计（并通过自适应采样增强计算试验设计），以达到所需的精度，以及（ii）应用基于梯度的优化算法。将该方法应用于潜艇工程中的非理想加筋圆柱壳的优化设计。对于这种应用程序的结构的性能是有关屈曲，这是解决这里通过渐近数值方法。
英文摘要：
The optimal and robust design of structures has gained much attention in the past ten years due to the ever increasing need for manufacturers to build robust systems at the lowest cost. Reliability-based design optimization (RBDO) allows the analyst to minimize some cost function while ensuring some minimal performances cast as admissible probabilities of failure for a set of performance functions. In order to address real-world problems in which the performance is assessed through computational models (e.g. large scale finite element models) meta-modelling techniques have been developed in the past decade. This paper introduces adaptive kriging surrogate models to solve the RBDO problem. The latter is cast in an augmented space that "sums up" the range of the design space and the aleatory uncertainty in the design parameters and the environmental conditions. Thus the surrogate model is used (i) for evaluating robust estimates of the probabilities of failure (and for enhancing the computational experimental design by adaptive sampling) in order to achieve the requested accuracy and (ii) for applying the gradient-based optimization algorithm. The approach is applied to the optimal design of imperfect stiffened cylinder shells used in submarine engineering. For this application the performance of the structure is related to buckling which is addressed here by means of the asymptotic numerical method.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
