Experiment-Based Motion Reconstruction and Restitution Coefficient Estimation of a Vibro-Impact System

Abstract

The objective of this paper is to demonstrate the motion reconstruction and the parameter estimation of a vibro-impact (VI) system from limited experimental information. Based on the measured displacement and acceleration of its linear main system, the rest motion information such as the displacement and velocity of the attached VI energy sink can be calculated rather than difficult direct measurement, and therefore, different response regimes from the strongly modulated response to the classic regime with two impacts per cycle are reconstructed. Consequently, it provides comprehensive experimental data for the validation of analytical and numerical results and for any experimental bifurcation analysis. Moreover, a procedure to estimate the restitution coefficient from periodic impacts is demonstrated. This new experimental approach to estimate the value of the restitution coefficient is simple and this accurate value could play an important role in analytical and numerical study.

Full-field measurements with Digital Image Correlation for vibro-impact characterisation

“…14. Comparatively to these results, the COR values presented in [16] seem to be scattered in a similar manner, and the standard deviations given in [14] are consistent with the one presented in this paper.…”

“…As one can see, the COR is different whether the impact occurs on the upper plate or on the lower plate. This unexpected phenomenon has already been reported in [16] but no special investigation has been made to explain this result. In the present case, as the structure is totally symmetric in terms of materials, assuming that dissipation during impact is only due to contact effects is probably insufficient.…”

“…According to the authors, the video post-processing allows measurement of the instantaneous position of the gears from the shape recognition. Recently, a simple method using limited experimental information to reconstruct the motions of the oscillating mass of a VI absorber and measure the COR has been presented in [16]. The authors used a laser sensor and an accelerometer to measure the position of the main structure and its acceleration respectively.…”