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首页> 外文期刊>Archive of Applied Mechanics >A probabilistic model of uncertainties in the substructures and interfaces of a dynamical system: application to the torsional vibration of a drill-string
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A probabilistic model of uncertainties in the substructures and interfaces of a dynamical system: application to the torsional vibration of a drill-string

机译:动力系统的子结构和界面不确定性的概率模型:在钻柱扭转振动中的应用

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摘要

In this paper, a new strategy for modeling uncertainties in the substructures and interfaces of a dynamical system is presented. This strategy is based on (1) the reduction in the dynamical model of each substructure using the Craig-Bampton method and (2) the use of the nonparametric probabilistic approach for the global modeling of uncertainties in each substructure. As an improvement with respect to existing nonparametric methods, the methodology proposed here constructs separated models of uncertainties for the inner and interface degrees of freedom, which allows to control separately the levels of fluctuation induced by these two sources of uncertainties. This methodology is applied for the analysis of the random vibration of a drill-string. Three strategies are compared: (1) a full nonparametric probabilistic approach on all the system, (2) the existing nonparametric probabilistic approach together with the Craig-Bampton substructuring method, and (3) the new nonparametric probabilistic approach proposed here with the separation of the inner and interface degrees of freedom uncertainties. It turns out that, for the same level of uncertainty, the three approaches give similar results, but the new approach gives more flexibility for the control of the probabilistic model.
机译:在本文中,提出了一种对动力学系统的子结构和界面中的不确定性进行建模的新策略。该策略基于(1)使用Craig-Bampton方法简化每个子结构的动力学模型,以及(2)使用非参数概率方法对每个子结构中的不确定性进行全局建模。作为对现有非参数方法的一种改进,此处提出的方法针对内部和界面自由度构建了独立的不确定性模型,从而可以分别控制由这两个不确定性源引起的波动水平。该方法用于分析钻柱的随机振动。比较了三种策略:(1)所有系统上的完整非参数概率方法;(2)现有的非参数概率方法以及Craig-Bampton子结构化方法;(3)此处提出的新的非参数概率方法,其中分离了内部和界面自由度的不确定性。事实证明,对于相同水平的不确定性,这三种方法给出的结果相似,但是新方法为概率模型的控制提供了更大的灵活性。

著录项

  • 来源
    《Archive of Applied Mechanics》 |2017年第4期|685-698|共14页
  • 作者单位

    Natl Metrol Qual & Technol Inst INMETRO, Rua Estrela 67, BR-20251020 Rio De Janeiro, RJ, Brazil;

    Univ Fed Santa Catarina, Dept Mech Engn, BR-88040900 Florianopolis, SC, Brazil;

    Univ Fed Rio de Janeiro, Dept Mech Engn, Ilha Fundao, BR-21945970 Rio De Janeiro, RJ, Brazil;

    Univ Liverpool, Sch Engn, Ctr Engn Dynam, Liverpool L69 7ZF, Merseyside, England;

    Univ Paris Est, Lab Modelisat & Simulat Multi Echelle, MSME, UMR 8208,CNRS, 5 Bd Descartes, F-77454 Marn La Vallee, France;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Structural dynamics; Stochastic dynamics; Substructuring; Craig-Bampton method; Uncertainty quantification;

    机译:结构动力学;随机动力学;子结构;Craig-Bampton方法;不确定性量化;

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