Abstract In this paper, a novel method for modal response estimation and response reconstruction is proposed. The method is based on a newly developed modal response estimation method and transformation equations derived from modal information of the target. The modal response estimation method is designed to acquire optimal modal responses using response from only one sensor. Based on the derived optimal modal responses of convenient location, the modal responses of critical locations can be extrapolated using the transformation equations. To demonstrate the overall reconstruction procedure, two numerical examples are presented, including cases of well-separated modes and closely spaced modes. The effects of mode numbers, sensor numbers, sensor locations and noise levels are investigated in detail. Following this, a realistic turbine blade structure is used to validate the effectiveness and accuracy of the method in practical applications. The results indicate that the proposed method is accurate and reliable for response reconstruction, offering a viable alternative for structural health monitoring of various structures.
Guo et al. (Fri,) studied this question.