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首页> 外文期刊>Mathematical Problems in Engineering >Analysis of a Nonlinear Aeroelastic System with Parametric Uncertainties Using Polynomial Chaos Expansion
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Analysis of a Nonlinear Aeroelastic System with Parametric Uncertainties Using Polynomial Chaos Expansion

机译：参数不确定性的非线性气动弹性系统的多项式混沌展开分析

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摘要

Aeroelastic stability remains an important concern for the design of modern structures such as wind turbine rotors, more so with the use of increasingly flexible blades. A nonlinear aeroelastic system has been considered in the present study with parametric uncertainties. Uncertainties can occur due to any inherent randomness in the system or modeling limitations, and so forth. Uncertainties can play a significant role in the aeroelastic stability predictions in a nonlinear system. The analysis has been put in a stochastic framework, and the propagation of system uncertainties has been quantified in the aeroelastic response. A spectral uncertainty quantification tool called Polynomial Chaos Expansion has been used. A projection-based nonintrusive Polynomial Chaos approach is shown to be much faster than its classical Galerkin method based counterpart. Traditional Monte Carlo Simulation is used as a reference solution. Effect of system randomness on the bifurcation behavior and the flutter boundary has been presented. Stochastic bifurcation results and bifurcation of probability density functions are also discussed.
机译：对于诸如风力涡轮机转子之类的现代结构的设计，空气弹性的稳定性仍然是重要的考虑因素，尤其是随着使用越来越柔性的叶片的使用。在本研究中已经考虑了具有参数不确定性的非线性气动弹性系统。由于系统中任何固有的随机性或建模限制等原因，可能会出现不确定性。不确定性可以在非线性系统的气动弹性稳定性预测中发挥重要作用。该分析已置于随机框架中，并且系统不确定性的传播已在气动弹性响应中进行了量化。使用了一种称为多项式混沌扩展的频谱不确定性量化工具。事实证明，基于投影的非侵入式多项式混沌方法比基于经典Galerkin方法的对应方法要快得多。传统的蒙特卡洛模拟被用作参考解决方案。提出了系统随机性对分叉行为和颤振边界的影响。还讨论了随机分叉结果和概率密度函数的分叉。

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  • 来源
    《Mathematical Problems in Engineering》 |2010年第speca期|p.30.1-30.21|共21页
  • 作者

    Ajit Desai; Sunetra Sarkar;

  • 作者单位

    Department of Aerospace Engineering, [IT Madras, Chennai 600036, India;

    Department of Aerospace Engineering, [IT Madras, Chennai 600036, India;

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