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Cross-mode couplings for the fatigue damage evaluation of trimodal Gaussian processes

机译：交叉模态耦合用于三峰高斯过程疲劳损伤评估

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摘要

In ocean engineering, the fatigue damage evaluation of structures subjected to random stress in the design stage is of great practical interest. The stress can be a single-mode, bimodal or multi-modal Gaussian process. Traditional spectral methods used to focus on establishing a probabilistic model for the rainflow stress cycles to count the accumulation of damage. Recently, authors have developed a state-of-the-art bimodal spectral discretization method which crosses the border of traditional methods by introducing a coupling coefficient xi to reflect the interaction between low- and high-frequency components. The present study extends this accurate bimodal method to solve the more complicated trimodal Gaussian problems. A cubic coefficient is developed to account for cross-mode couplings among low-, medium- and high-frequency components. Extensive comparisons with time-domain rainflow counting method and traditional spectral methods are conducted to validate the high level of accuracy and efficiency of this trimodal method. Moreover, via the proposed trimodal method, the respective contributions of different frequencies and their couplings to the overall fatigue damage in a multi-modal situation can be thoroughly differentiated. Comprehensive case studies including an analysis of a floating wind turbine have evidenced the important role of cross-mode couplings in the total damage of fatigue.
机译：在海洋工程中，在设计阶段对随机应力结构的疲劳损伤评估具有很大的实际意义。应力可以是单模，双模或多模高斯过程。传统的频谱方法通常用于建立降雨流应力循环的概率模型，以计算破坏的累积量。最近，作者开发了一种最新的双峰光谱离散化方法，该方法通过引入耦合系数xi来反映低频和高频分量之间的相互作用，从而跨越了传统方法的边界。本研究扩展了这种精确的双峰方法来解决更复杂的三峰高斯问题。开发了三次系数以说明低频，中频和高频分量之间的交叉模式耦合。与时域雨流计数方法和传统频谱方法进行了广泛的比较，以验证这种三峰方法的高准确性和效率。此外，通过提出的三峰方法，可以完全地区分不同频率的各自贡献及其在多峰情况下对整体疲劳损伤的影响。全面的案例研究（包括对浮动式风力涡轮机的分析）证明了交叉模式联轴器在疲劳总损伤中的重要作用。

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  • 来源
    《Ocean Engineering》 |2020年第15期|107177.1-107177.13|共13页
  • 作者

  • 作者单位

    Tsinghua Univ Shenzhen Int Grad Sch Div Ocean Sci & Technol Shenzhen 518055 Peoples R China;

    Huadong Engn Corp Ltd Hangzhou 311122 Peoples R China|Dalian Univ Technol Sch Naval Architecture & Ocean Engn Dalian 116024 Peoples R China;

    Dalian Univ Technol Sch Naval Architecture & Ocean Engn Dalian 116024 Peoples R China;

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  • 正文语种 eng
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  • 关键词

    Fatigue damage; Gaussian; Trimodal; Cross-mode coupling; Spectral discretization;

    机译：疲劳损伤;高斯三峰的;交叉模式耦合;光谱离散化;

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