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Experimental identification of modal parameters for the model of a building subjected to short-term kinematic excitation

Krzysztof Majcher

Krzysztof Majcher

Faculty of Civil Engineering, Wrocław University of Science and TechnologyWrocław, Poland
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Majcher, Krzysztof
  
31 gru 2018
Experimental identification of modal parameters for the model of a building subjected to short-term kinematic excitation's Cover Image
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Kategoria artykułu: Research Article
Data publikacji: 31 gru 2018
Zakres stron: 321 - 332
Otrzymano: 08 lis 2018
Przyjęty: 14 lis 2018
DOI: https://doi.org/10.2478/sgem-2018-0030
Słowa kluczowe
© 2018 Krzysztof Majcher, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Figure 1

The slab-and-column model: (a) physical; (b) theoretical.
The slab-and-column model: (a) physical; (b) theoretical.

Figure 2

The shake table: (a) main elements and (b) possible directions of kinematic excitation.
The shake table: (a) main elements and (b) possible directions of kinematic excitation.

Figure 3

Measurement instruments—PULSE system by Brüel & Kjær.
Measurement instruments—PULSE system by Brüel & Kjær.

Figure 4

Kinematic excitations: (a) “sine”; (b) “trapezium”.
Kinematic excitations: (a) “sine”; (b) “trapezium”.

Figure 5

The results obtained from the first measurement: (a) displacement plots in the time domain t and (b) displacements determined in accordance with formula (7).
The results obtained from the first measurement: (a) displacement plots in the time domain t and (b) displacements determined in accordance with formula (7).

Figure 6

Results obtained from the second measurement: (a) displacement plots in the time domain t; and b) displacements determined in accordance with formula (7).
Results obtained from the second measurement: (a) displacement plots in the time domain t; and b) displacements determined in accordance with formula (7).

Figure 7

The results obtained from the third measurement: (a) displacement plots in the time domain t and (b) displacements determined in accordance with formula (7).
The results obtained from the third measurement: (a) displacement plots in the time domain t and (b) displacements determined in accordance with formula (7).

Figure 8

The results obtained from the fourth measurement: (a) displacement plots in the time domain t and (b) displacements determined in accordance with formula (7).
The results obtained from the fourth measurement: (a) displacement plots in the time domain t and (b) displacements determined in accordance with formula (7).

Figure 9

The results obtained from the fifth measurement: (a) displacement plots in the time domain t and (b) displacements determined in accordance with formula (7).
The results obtained from the fifth measurement: (a) displacement plots in the time domain t and (b) displacements determined in accordance with formula (7).

Figure 10

The results obtained from the sixth measurement: (a) displacement plots in the time domain t and (b) displacements determined in accordance with formula (7).
The results obtained from the sixth measurement: (a) displacement plots in the time domain t and (b) displacements determined in accordance with formula (7).

Data on kinematic excitations_

Measurement No.Name of excitationAmplitude of excitation (mm)Time duration of excitation (s)
1“sine”20.5
2“sine”40.5
3“trapezium”21
4“trapezium”41
5“trapezium”22
6“trapezium”42

Key results of experimental research_

Measurement
No. 1No. 2No. 3No. 4No. 5No. 6
Values of limit expressions—formulas (11, 12)Y1c249.353496.455422.826843.34401.447788.547
(mm)
Y2c349.069695.045591.9671,180.66562.0361,103.95
(mm)
Y3c398.909794.343676.5421,349.31642.3351,261.64
(mm)
Zc6,283.1912,566.410,000.020,000.010,000.020,000.0
(mm/s2)
Coefficients of the stiffness matrix have been determined based on formula (13)k11,037.61,042.31973.876976.5461,025.741,044.4
(N/m)
k21,918.931,927.071,800.511,805.641,896.41,931.1
(N/m)
k32,561.72,571.532,402.582,409.762,530.532,577.21
(N/m)
Natural frequencies of the model have been determined based on formulas (14, 15)f10.6650.6670.6440.6450.6610.667
(Hz)
f22.3432.3492.2702.2742.3302.351
(Hz)
f33.9293.9373.8063.8113.9063.942
(Hz)
Język:
Angielski
Częstotliwość wydawania:
4 razy w roku
Dziedziny czasopisma:
Nauki o Ziemi, Nauki o Ziemi, inne, Nauka o materiałach, Kompozyty, Materiały porowate, Fizyka, Mechanika i dynamika płynów
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