Additional damping force identification of passively controlled structures based on a Gillijn De Moor filter

The damping force provided by the damper is difficult to measure directly due to the complex mechanism of the damper in the structure. For damper-controlled structures, the additional damping force generated by the dampers can be considered a kind of input force on the primary structure. On the condition that the excitation force and parameters of the primary structure are known, an inverse method based on a Gillijn De Moor filter and structural response is presented in this paper to estimate the additional damping force. The state-space equations of damper-controlled structures are built first. The Gillijn De Moor filter is then used to estimate the additional damping force. The proposed method is examined by numerical simulations and a series of experiments. The results show that the additional damping force generated by dampers can be accurately estimated using the inverse method based on the Gillijn De Moor filter.