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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
   | 31 gru 2018
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Article Category: 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)
eISSN:
2083-831X
Język:
Angielski
Częstotliwość wydawania:
4 razy w roku
Dziedziny czasopisma:
Geosciences, other, Materials Sciences, Composites, Porous Materials, Physics, Mechanics and Fluid Dynamics
Kanał RSS czasopisma