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.