Dynamics of the structures and non destructive testing : by Moussa Karama

By Moussa Karama

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It is generally used in the case of linear elasticity and it requires a perfect knowledge of the model in terms of boundary condition since the virtual fields used must be kinematically admissible. This method allows to determine parameters by a direct and fast calculation, without iterations. The second method is the finite element model updating method. It consists in finding constitutive parameters that achieve the best match between finite element analysis quantities and their experimental counterparts.

482 55 Table 4. Frequency vs. 7. 7), we find that in the 2024 aluminum case, the frequency decreases (or there is a frequency downward shift) when the average grain size decreases (or the rolling rate increases). Note that the phenomenon is reversed in the aluminum case and these results are also consistent with theory. Conclusion We studied the interaction between ultrasonic waves and steel samples with different heat treatments which allowed a gradient of mean grains sizes. These same tests were made on aluminum samples with mechanical treatments which have also allowed a gradient of mean grains sizes.

7 and 8) indicate that scattering losses affect many more compression waves than shear waves. In the Rayleigh region, the high frequency components are backscattered with greater intensity compared to low frequency components. Consequently, an upward shift in the expected frequency of the power spectrum of broadband echoes is then induced. Moreover the term exp (-2α (f). Z) in Eq. 5 introduces a downward shift in the frequency variation. The downward shift depends on the position of scatterers relatively to the probe.

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