基于统计模型的结构损伤识别

DAMAGE IDENTIFICATION OF STRUCTURES USING STOCHASTIC MODELS

  • 摘要: 提出了一种基于递推随机有限元方法(RSFEM)的随机结构损伤识别方法。在定义了随机损伤指数概念的基础上,考虑模型误差的不确定性和测量噪声的影响,建立了关于随机损伤指数的控制方程。然后,利用RSFEM得到了结构随机损伤指数的统计特性。数值算例的结果显示,新的方法能在考虑模型误差和测量噪声的情况下对结构损伤进行有效识别,且在结构随机参数有较大涨落情况下,该方法仍能有效识别出结构损伤,识别结果与蒙特卡洛模拟解非常吻合。

     

    Abstract: Based on recursive stochastic finite element method a random damage identification method for structures is developed. Control equations of random damage index are set up after random damage index is defined. Structural uncertainties and measurement noises are both considered in the control equations. Statistics of random damage index are obtained after the control equations are solved utilizing recursive stochastic finite element method. The results show that structural damages can be identified while model errors and measurement noises are both considered. It is also found that the method presented has the same effectiveness as Monte-Carlo simulation method for identifying damages of random structures in wide range of random fluctuation.

     

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