Research Article
Nonlinear Regression Based Health Monitoring of Hysteretic Structures under Seismic Excitation
Table 5
Statistical summary of estimated system parameters for 100 Monte-Carlo runs (threshold = 0.11 m).
| | Preyielding stiffness (KN/m) | Viscous damping (KNs/m) | Bilinear factor | Yield deformation (mm) |
| Actual model | 27300 | 521 | 0.065 | 46.5 |
| Noise-free | | | | | Mean | 27335 | 482 | 0.062 | 47.0 | Coefficient of variation | 0.0000 | 0.0000 | 0.0000 | 0.0000 | Mean error | 0.1% | 7.5% | 4.6% | 1.1% |
| 3% RMS white noise | | | | | Mean | 27335 | 481 | 0.062 | 47.1 | Coefficient of variation | 0.0000 | 0.0124 | 0.0212 | 0.002 | Mean error | 0.1% | 7.7% | 4.6% | 1.3% |
| 5% RMS white noise | | | | | Mean | 27336 | 482 | 0.064 | 47.2 | Coefficient of variation | 0.0018 | 0.0210 | 0.0345 | 0.0035 | Mean error | 0.1% | 7.5% | 1.5% | 1.5% |
| 10% RMS white noise | | | | | Mean | 27237 | 474 | 0.071 | 47.3 | Coefficient of variation | 0.0082 | 0.0625 | 0.0706 | 0.0080 | Mean error | 0.2% | 9.0% | 9.2% | 1.7% |
| 20% RMS white noise | | | | | Mean | 26825 | 440 | 0.092 | 46.9 | Coefficient of variation | 0.0142 | 0.1293 | 0.0855 | 0.0130 | Mean error | 1.7% | 15.5% | 41.5% | 0.9% |
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