基于电压统计矩灵敏度分析的附加质量识别

Added Mass Identification Using Sensitivity of Voltage Statistical Moment

本文介绍了结构的附加质量识别方法,并采用欧拉梁模型对其进行了理论和数值研究。首先建立了基于拉普拉斯变换谱元法的欧拉梁模型,推导了完整梁以及引入附加质量后的梁单元刚度矩阵,并根据梁的动力响应得到各测点的电压输出;其次,对电压统计矩进行灵敏度分析,通过L1正则化方法识别了梁上附加质量位置和大小,并分析了该方法对于噪声的鲁棒性。研究表明,所提出的方法能够正确地识别出梁上附加质量的位置,有效地识别附加质量的大小。综上,基于拉普拉斯变换谱元法和电压统计矩灵敏度分析的方法,一方面可以方便地对结构中存在的附加质量进行定位和定量识别,另一方面可以为桥上的车辆荷载以及风力涡轮机叶片上积冰的识别等实际工程提供理论指导。

This paper proposes a structural added mass identification method, and study it theoretically and numerically with the Euler beam model. Euler model is firstly established using Laplace transform based spectral element method, and the spectral element stiffness matrix of an intact and mass added beam segment are derived respectively, according to the dynamic responses of the beam, the output voltage of each measuring point can be obtained;secondly, sensitivity analysis of voltage statistical moment is made, and the location and quantity of added mass is identified using L1 regularization approach;besides, the authors analyzed the robustness of the proposed identification method to noise. The study shows that the proposed method can locate and quantify the added mass in structure. To sum up, the identification method using Laplace transform based spectral element method and sensitivity of voltage statistical moment can not only locate and quantify the added mass in the structure conveniently, but also provide theoretical guidance for practical engineering, such as identification of vehicle load on bridge and wind turbine blade ice detection.