The need for introduction of non-probabilistic interval conceptions into structural analysis and design
The need for introduction of non-probabilistic interval conceptions into structural analysis and design
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DOI：
10.1007/s11433-016-0329-3
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发表时间：
2016-09
期刊：
影响因子：
--
通讯作者：
Z. Qiu;Lei Wang
中科院分区：
文献类型：
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作者：
Z. Qiu;Lei Wang
随着工程结构的日益复杂和使用环境的日益严酷，与材料特性、外载荷、边界条件、测量噪声等相关的不确定性增加。不确定性极大地影响了结构的安全性，因此，在处理分析和设计问题时，有必要完全了解所有涉及的不确定性[1]。在过去的几十年里，基于概率模型的不确定性分析和设计的传统方法在各个行业得到了广泛的应用。事实上，在这些行业中，可能需要基于大量实验样本的不确定参数的精确概率分布。然而，在许多工程应用中，实验数据是有限的。针对这一问题，人们发展了几种用于评估可靠性和指导结构设计的非概率区间方法；这些方法由于参数数据不足而受到重视[2]。近年来国内外学者和工程技术人员的研究主要集中在以下几个方面：(1)区间传播分析对于更合理地描述信息缺失情况下的不确定结构响应是必不可少的。1994年，Wang等人[3]首次提出了力学中的区间摄动分析。最近，他们提出了新的随机配置法和维度法(DWM)来精确地预测静态和动态力学响应[4，5]。
With the growing complexity of engineering structures and the severity of their service environments, the uncertainties related to material properties, external loads, boundary conditions, measurement noises, etc., have increased. Uncertainty greatly influences structural safety, and hence, it is necessary to completely understand all the uncertainties involved when tackling analysis and design issues [1]. Traditional approaches to uncertainty analysis and design derived from probability models have been widely applied to various industries in the past decades. Indeed, precise probability distributions of the uncertain parameters based on a large amount of experimental samples may be required in these industries. In many engineering applications, however, the experimental data are limited. In view of this problem, several non-probabilistic interval methods for evaluating reliability and guiding structural design were developed; these methods have gained attention because of insufficient parametric data [2]. The recent research by scholars and engineers worldwide are summarized as follows:(1) Interval propagation analysis Interval propagation analysis is essential for obtaining more reasonable descriptions of uncertain structural responses in cases of missing information. In 1994, Wang et al.[3] first proposed the interval perturbation analysis in mechanics. Recently, they presented the novel stochastic collocation method and the dimension-wise method (DWM) to predict static and dynamic mechanical responses accurately [4, 5]; the colloca-