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An alternative linear response surface method for stochastic dynamic analysis

机译：随机动力学分析的另一种线性响应面方法

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摘要

An alternative Linear Response Surface strategy is presented for the evaluation of the response statistics of dynamic systems subjected to stochastic excitation. At first the geometry of very high-dimensional reliability spaces is discussed, where it is shown that the sample points fall far away from the origin of the standard normal space, in a very narrow region of probabilistic interest. It is also seen because FORM may work well for applications of Stochastic Dynamic Analysis in high-dimensional spaces. However, it does not give any information about the obtained level of accuracy and moreover in some cases its approximation is not very close to the exact one. To this aim, in this paper we introduce a novel Linear Response Surface based on the Support Vector Method, which allows to overcome the shortcomings of FORM, starting from the knowledge of the design point direction.
机译：提出了一种替代的线性响应面策略，用于评估受到随机激励的动态系统的响应统计量。首先讨论了非常高维的可靠性空间的几何形状，其中表明样本点在概率非常狭窄的区域内远离标准法线空间的起点。还可以看到，因为FORM可能在高动态空间中的随机动态分析中很好地工作。但是，它没有提供有关所获得的准确度水平的任何信息，而且在某些情况下，其近似值与精确度的近似值不是很接近。为此，在本文中，我们基于支持向量法介绍了一种新颖的线性响应面，该方法可以从了解设计点方向的角度出发，克服FORM的缺点。

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