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Earthquake Engineering Research - HKU Libraries - The University ...

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236<br />

3.3 SRF Experimental Results<br />

In this research, the strain rate feedback control is designed to control the vibration of the fundamental<br />

mode. <strong>The</strong> SRF controller-damping ratio q c was set at 0.10, controller frequency co c was set at 62.8<br />

rad/sec (lOHz), which is greater than the targeted mode of 7.62Hz and the effectiveness of SRF controller<br />

at various gains was tested. <strong>The</strong> results are shown in table 2, with maximum energy drop achieved at gain<br />

of 0.12.<br />

SRF<br />

Gain<br />

0.12<br />

0.15<br />

0.17<br />

0.20<br />

Modal dB drop<br />

j-ij sec<br />

52.66<br />

52.80<br />

50.35<br />

49.12<br />

Table 2 SRF Results<br />

Contn)Ued damping ratio<br />

0.040<br />

0.042<br />

0.043<br />

0.045<br />

% Change in damping<br />

387.7<br />

423.4<br />

435.8<br />

451.2<br />

<strong>The</strong> excitation in the SRF experiment is the same as that in the PPF experiment. <strong>The</strong> SRF controlled<br />

system response is depicted in Figure 5. <strong>The</strong> building vibrations disappear within 5 seconds after the<br />

excitation signal is stopped. When compared to the PPF controller, the results are almost as dramatic as<br />

that of PPF. <strong>The</strong> PSD plot for 5-15 seconds is shown in Figure 6. <strong>The</strong> SRF control was accompanied with<br />

a drop of about 50 dB in the energy level of the model building in the period of active control. <strong>The</strong><br />

damping ratio achieved was 0.045. As compared with the undamped ratio of 0.008, this represents an<br />

increase of 451%.<br />

with control<br />

CD<br />

H,.<br />

"55<br />

with control<br />

— - without control<br />

>,.30<br />

O)<br />

time(s)<br />

Frequency (Hz)<br />

Fig. 5 SRF control response of the model<br />

building<br />

Fig. 6 PSD plots of uncontrolled and SRF<br />

controlled model building for 5-15 sec<br />

3.4 SMC Experimental Results<br />

<strong>The</strong> sliding mode control algorithm is also applied to control the vibration of the 3-floor model building.<br />

Since the first mode dominants the free response, the sliding mode control will suppress the first mode<br />

vibration. Following the method discussed by Adhikari and Yamaguichi (1997)), the controller<br />

parameters are A = 0.5, p = 1, and a = 1, and thus the sliding surface is r = £ + 0.5§ =0.<br />

In the research, the excitation of the model building is the same as those in the PPF and SRF control. <strong>The</strong><br />

SMC controlled response is shown in Figure 7 and the corresponding PSD plot for 5-15 seconds is<br />

depicted in Figure 8. An energy drop of 51dB as compared with the uncontrolled energy level is observed<br />

during this period of active control. <strong>The</strong> vibration control of the first mode is comparable to that of the

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