Abstract
A new in situ vibration mode measurement method within a tomograph is proposed based on Projection-based Digital Volume Correlation techniques. Several projection angles are selected and a large number of radiographs of the vibrating sample are acquired at random instants with a small exposure time in order to ‘freeze out’ the displacement and avoid motion blurring. Based on an initial reconstruction acquired in a static configuration, the displacement field measurement is performed using a Proper Generalized Decomposition technique. All projections are analyzed as being due to a few vibration modes deforming the known reference volume. The different projection directions are related to each other assuming that the modal amplitude probability distribution functions are statistically similar. A synthetic test case, mock-up of a liver, is used to illustrate and validate the approach. In this case, 5 projection angles were chosen, 300 radiographs per angle, and the first three vibration modes could be recovered with a good accuracy.
Highlights
In the last decades, full-field measurement methods have become a key element for the validation and identification ofmechanical models [1,2]
The present study addresses this challenge based on a statistical assumption of a proper sampling of the first vibration modes
An in situ vibration mode measurement of a sample based on P-Digital Volume Correlation (DVC) has been developed
Summary
Full-field measurement methods have become a key element for the validation and identification of (bio-)mechanical models [1,2]. The identification of the kinematics is performed with a Proper Generalized Decomposition [29,30] procedure computing sequentially the relevant modes using statistical assumption(s) on the displacement field.
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