基于Green函数和正则化的动态载荷识别方法
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    摘要:

    在载荷识别过程中由于结构矩阵的病态特性以及测量噪声的影响,常规最小二乘法往往失效。针对这一问题,采用正则化方法进行载荷识别。载荷在时域内可用一系列脉冲来表示,系统的响应是载荷与单位脉冲响应函数的卷积分。通过对载荷反演模型剖析,指出该病态问题的本质,提出了相应的正则化求解方法。基于Morozov相容性原理,采用一种新的选取正则化参数的准则分别进行了单输入单输出和二输入二输出系统的载荷识别。仿真结果说明该识别方法是有效的,可以得到满足工程要求的稳定近似解。

    Abstract:

    The inverse problem of force identification is always ill-posed due to the inverse process of structural matrix and measurement noise in practical engineering and the ordinary least square method always obtains the meaningless solution. An improved regularization method is proposed to overcome these problems. The loads can be expressed as a series of kernels of impulse function in time domain and the total response of the system can be obtained using the product of the convolution integral of the kernel response and the loads. The essence of ill-posedness of force identification problem is further disclosed in detail through the singular valued decomposition technique, and the corresponding regularization technique is presented to solve this inverse problem in order to alleviate the ill-posedness. A new method for choosing regularization parameter based on the Morozov compatibility principle is also used. The loads are identified in single input and single output system and two inputs and two outputs system respectively. Simulation results show that the identification method proposed is effective and it can meet the engineering requirements of stable approximate solution.

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  • 在线发布日期: 2014-03-18
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