面载荷识别的TSVD正则化方法

线性系统的响应可以表示为单位脉冲响应函数与动态载荷的卷积分,经离散后得到载荷识别反问题。引入TSVD正则化方法处理反问题的不适定性,对不同噪声的实测响应进行了面载荷的反演求解,并对识别精度做出了分析。算例表明,TSVD正则化方法对响应误差的适应性强,识别精度高。

TSVD regularization method for area load reconstruction

The response of the linear system can be expressed as a convolution integral of the impulse response function and the dynamic load function.The convolution integral is transformed into an inverse problem of load reconstruction by discretizing in the time domain.In this paper,TSVD regularization method is introduced to treat the ill-posedness arising from the inverse problem,and area loads are reconstructed for various vibration responses with different noise.Under the increasing error in measured response,the precision of the reconstructed load is analyzed.The numerical examples indicate that TSVD regularization method is stable and accurate in load reconstruction under response with error.