Table 1 Summary of all measured and numerical mode notations
From: Measurement of 1–10 Hz 3D vibration modes with a CT-scanner
\( \widehat{{{\varvec{\Phi }}}}_i^{\text {vib}}\) | Numerical mode from Abaqus computed on the fine mesh |
|---|---|
\(\widetilde{{{\varvec{\Phi }}}}_i^{\text {vib}}\) | Projection of \(\widehat{{\varvec{\Phi }}}_i^{\text {vib}}\) onto the coarse boxed mesh |
\(\widetilde{{{\varvec{\Phi }}}}_i^{\text {PGD}}\) | Measured mode from the proposed procedure |
\(\widetilde{{{\varvec{\Phi }}}}_i^{\text {est}}\) | Estimated vibration mode computed from the orthonormalization of \({{\varvec{\Phi }}}_i^{\text {PGD}}\) with the mass matrix |