Non Destructive Test Sample Preparation for Mechanical Properties
49 After setting the acquisition device, the tested samples were first weighted
and measured in length, width and height. Then the samples were positioned on the two elastic bearings like shown in the Figure 26 and made sure that the
supports were located at a distance of ¼ of the total length of each specimen.
Afterwards the microphone was set up in perpendicular with the length of the samples see Figure 26 with the distance of 1 or 2 cm from the sample. The
samples were hit by percussion bar at one end of the sample and the sound emitted was recorded in another end of the samples by microphone. The emitted sound
from the end of the samples was converted into electrical signal by the microphone. This signal was then amplified and filtered by means of the
acquisition card acting as an analog-digital converter and which delivered to the computer to digitize the signal.
Figure 26 Samples placement on BING bending vibration method After digitizing the signal, then it was recorded and transferred to a users
computer memory. The spectral composition of the recording was given by fast fourier transform, the spectral width of the acquisition depends on fixed
parameters point number and acquisition time. The mathematical calculation of the selected frequency was performed via software from the geometric
characteristics and mass of the sample. It was used to determine the elastic moduli by Bernoulli and Timoshenko models. Timoshenko model was used in several
studies Bordonné 1989; El-Houzali 2009 including this research. Timoshenko had an equation of motion that took into account the bending moment, shear, and
rotational inertia. Bernoullis model did not take into account either the shear or rotation inertia. This model was a simplified model of Timoshenko where we
considered the strain energy due to the negligible shear during bending.