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Investigation of Metal-based Composites Vibration Properties Using Modal Analysis in Combination with Wavelet Transforms Under Imitation of Operational Loads

Dmitrii S. Molchanov
Dmitrii S. Molchanov
, 
Heinz Palkowski
Heinz Palkowski
, 
Sergey Chernyakin
Sergey Chernyakin
 and 
Panagiotis G. Karagiannidis
Panagiotis G. Karagiannidis
   | Sep 22, 2020
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Article Category: Original scientific paper
Published Online: Sep 22, 2020
Page range: 45 - 63
Received: Jun 22, 2020
Accepted: Jul 10, 2020
DOI: https://doi.org/10.2478/rmzmag-2020-0010
Keywords
© 2020 Dmitrii S. Molchanov et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1

Sample ‘RX5L’ (five-layered MPM sandwich composite; left top corner), before tests on the servo-hydraulic testing machine, and RX5L schematic structure of layers (right side figure).
Sample ‘RX5L’ (five-layered MPM sandwich composite; left top corner), before tests on the servo-hydraulic testing machine, and RX5L schematic structure of layers (right side figure).

Figure 2

Experimental facility: (1) sample, (2) three-headed laser Doppler vibrometer PSV-400, (3) acoustic oscillator, (4) acoustic diffuser and (5) amplifier.
Experimental facility: (1) sample, (2) three-headed laser Doppler vibrometer PSV-400, (3) acoustic oscillator, (4) acoustic diffuser and (5) amplifier.

Figure 3

Finite element model.
Finite element model.

Figure 4

Servo-hydraulic testing machine with a sample.
Servo-hydraulic testing machine with a sample.

Figure 5

Stress–strain diagrams for materials of tested samples.
Stress–strain diagrams for materials of tested samples.

Figure 6

Natural mode shapes: Doppler laser vibrometry experimental results.
Natural mode shapes: Doppler laser vibrometry experimental results.

Figure 7

Natural mode shapes: FEM calculation.
Natural mode shapes: FEM calculation.

Figure 8

Legend for finite element method calculation.
Legend for finite element method calculation.

Figure 9

‘RX5L’ (five-layered sandwich) vibration speed vector–frequency diagram.
‘RX5L’ (five-layered sandwich) vibration speed vector–frequency diagram.

Figure 10

Stress–strain 100,000 cycles for sample ‘RX5L’ (five-layered sandwich).
Stress–strain 100,000 cycles for sample ‘RX5L’ (five-layered sandwich).

Figure 11

Stress–strain 200,000 cycles for a sample ‘RX5L’ (five-layered sandwich).
Stress–strain 200,000 cycles for a sample ‘RX5L’ (five-layered sandwich).

Figure 12

Stress–strain diagram for a sample ‘RX5L’ (five-layered sandwich) during the break.
Stress–strain diagram for a sample ‘RX5L’ (five-layered sandwich) during the break.

Figure 13

Experimental facility: (1) sample, (2) one-headed laser Doppler vibrometer PDV-100, (3) microphone, (4) NI-USB-4431, (5) acoustic oscillator and (6) acoustic diffuser.
Experimental facility: (1) sample, (2) one-headed laser Doppler vibrometer PDV-100, (3) microphone, (4) NI-USB-4431, (5) acoustic oscillator and (6) acoustic diffuser.

Figure 14

Spectrogram of the reference sample RD1.
Spectrogram of the reference sample RD1.

Figure 15

Spectrogram of the sample RD1 after 100,000 cycles.
Spectrogram of the sample RD1 after 100,000 cycles.

Figure 16

Spectrogram of the sample RD1 after 300,000 cycles.
Spectrogram of the sample RD1 after 300,000 cycles.

Figure 17

Signals of sample RD1 after wavelet convolution (mother wavelet db02; scale 1024).
Signals of sample RD1 after wavelet convolution (mother wavelet db02; scale 1024).

Figure 18

The signal after wavelet convolution (mother wavelet db02; scale 1024). Sample RD1 after 100,000 cycles.
The signal after wavelet convolution (mother wavelet db02; scale 1024). Sample RD1 after 100,000 cycles.

Figure 19

The signal after wavelet convolution (mother wavelet db02; scale 1024). Sample RD1 after 200,000 cycles.
The signal after wavelet convolution (mother wavelet db02; scale 1024). Sample RD1 after 200,000 cycles.

Figure 20

The signal after wavelet convolution (used mother wavelet db02; scale 1024). Sample RD1 after 300,000 cycles.
The signal after wavelet convolution (used mother wavelet db02; scale 1024). Sample RD1 after 300,000 cycles.

Figure 21

Amplitude–frequency diagram. RD1 sample reference statement and after 100,000 and 300,000 cycles (one-headed Doppler laser vibrometer).
Amplitude–frequency diagram. RD1 sample reference statement and after 100,000 and 300,000 cycles (one-headed Doppler laser vibrometer).

Test and FEM calculation values of natural modes shapes and frequencies for sample ‘RX5L’

No.Test valueFEM calculationDeviation [%]
Natural mode shape (experiment)Natural frequency [Hz]Natural mode shape (FEM)Natural frequency [Hz]
1Figure 6a144Figure 7a12812.5
2Figure 6b163Figure 7b1777.90
3Figure 6c200Figure 7c1895.82
4Figure 6d469Figure 7d41612.74
5Figure 6e700Figure 7e79812.28
6Figure 6f990.5Figure 7f1,11311
7Figure 6g1,283Figure 7g1,44110.96
8Figure 6h1,553Figure 7h1,4804.93
9Figure 6i1,811Figure 7i1,7324.56
10Figure 6j3,070Figure 7j3,50312.36
11Figure 6k4,838Figure 7k4,36510.83
FEM, finite element method.

Scattering of experimental data

No.Number of test/amount of scanning pointsAverage valueCoefficient of variation*
1/252/513/514/1655/165
1361361360365365362.40.59
29949979989989989970.15
31,7611,7641,7641,7621,7621,762.60.06
41,9341,9461,9411,9411,9441,941.20.20
53,1773,1823,1773,1823,1813,179.80.07
63,5423,5503,5563,5483,5493,5490.12
74,6944,7024,6904,6894,7004,6950.11
85,3425,3785,3725,3745,3815,369.40.26

E-Moduli and Poisson’s values of the mono-materials

Mono-materialThickness [mm]E-Modulus [GPa]Poisson’s ratio
PP-PE0.2/0.3/0.61.45−0.45
TS 2450.24197−0.247
TS 2450.49191−0.276
TH 4700.49210−0.264

Model parameters

MonomaterialThickness [mm]E-Modulus [GPa]Poisson’s ratio
PP-PE0.331.23−0.39
TS 2450.45/0.26194/192−0.245/0.3

Reference samples (sandwich sheets and metallic mono-materials)

Mono-materials
NotationMaterialThickness [mm]NotationGrade
St. 0.24Steel0.24St. 0.24TS245
St. 0.490.49St. 0.49TS245
St. 22.0St. 2NA
Sandwich
Thickness [mm]Thickness [mm]SkinCore
RP0.24/0.3/0.240.78TS245PP-PE
RH0.49/0.3/0.491.28TS245
RF0.49/0.6/0.491.58TS245
RD0.49/2.0/0.492.80TS245
RW**0.49/0.3/0.241.03TS245
RX***0.49/0.3/0.24/0.3/0.241.57TS245
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