Uncertain Linear Systems in Dynamics: Stochastic Approaches
Uncertain Linear Systems in Dynamics: Stochastic Approaches
复制标题
动力学中的不确定线性系统：随机方法
DOI：
10.1007/978-94-007-0289-9_20
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
H. Pradlwarter
中科院分区：
文献类型：
--
作者：
G. Schuëller;H. Pradlwarter
本文提供了一个概述沿着与一个关键的评价可用的方法进行动态加载的线性系统的不确定性传播。所有不确定的结构性能被视为随机量，采用随机方法。加载可以是确定性的或随机性的，由噪声、过滤的白色噪声描述，更一般地，由高斯随机过程描述。通过回顾随机特征值问题和程序来评估随机（不确定）响应的前两个时刻的不确定响应的均值和方差的变异性的评估。计算程序是有效地适用于一般FE模型是这项工作的重点。
This paper provides an overview along with a critical appraisal of available methods for uncertainty propagation of linear systems subjected to dynamic loading. All uncertain structural properties are treated as random quantities by employing a stochastic approach. The loading can be either of deterministic or stochastic nature, described by withe noise, filtered white noise, and more generally, by a Gaussian stochastic process. The assessment of the variability of the uncertain response in terms of the mean and variance is described by reviewing the random eigenvalue problem and procedures to evaluate the first two moments of the stochastic (uncertain) response. Computational procedures which are efficiently applicable for general FE-models are in the focus of this work.