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Analysing the dynamic response of a rotor system under uncertain parameters by polynomial chaos expansion

机译:利用多项式混沌展开分析不确定参数下转子系统的动力响应

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摘要

In this paper, the quantification of uncertainty effects on response variability in rotor systems is investigated. To avoid the use of Monte Carlo simulation (MCS), one of the most straightforward but computationally expensive tools, an alternative procedure is proposed. MCS builds statistics from responses obtained from sampling uncertain inputs by using a large number of runs. However, the method proposed here is based on the stochastic finite element method using polynomial chaos expansion. The efficiency and robustness of the method proposed is demonstrated through different numerical simulations in order to analyse the random response against uncertain parameters and random excitation to assess its accuracy and calculation time.
机译:在本文中,研究了转子系统响应不确定性对不确定性影响的量化。为了避免使用蒙特卡洛模拟(MCS)(一种最直接但在计算上昂贵的工具),提出了一种替代方法。 MCS通过使用大量运行从对不确定输入进行采样获得的响应中构建统计数据。但是,这里提出的方法是基于使用多项式混沌展开的随机有限元方法。通过不同的数值模拟证明了该方法的有效性和鲁棒性,以分析不确定参数下的随机响应和随机激励,以评估其准确性和计算时间。

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