Research Article
Statistical Identification of Parameters for Damaged FGM Structures with Material Uncertainties in Thermal Environment
Table 3
COVs of material elastic moduli and volume fraction index for SMUM and MCS.
| | Temperature | Parameters
(given values) | | | | | | SMUM | MCS | SMUM | MCS | SMUM | MCS | SMUM | MCS |
| | | FGM beam through its thickness |
| | = 300 K | (5%) | 6.9139% | 6.3355% | 6.1553% | 6.0225% | 5.8767% | 5.4019% | 8.4827% | 4.1443% | | (5%) | 8.4283% | 7.4319% | 6.2834% | 5.3610% | 5.7577% | 5.0743% | 5.9237% | 5.1053% | | (5%) | 11.9278% | 12.2767% | 9..9623% | 6.8676% | 9.5556% | 10.4554% | 26.9936% | 18.9727% |
| | = 600 K | (5%) | 7.3813% | 6.4775% | 6.4379% | 5.9881% | 6.2478% | 5.2932% | 8.9632% | 8.8812% | | (5%) | 9.0423% | 7.2826% | 6.8224% | 5.3459% | 6.3822% | 5.2756% | 6.5709% | 6.5534% | | (5%) | 11.3814% | 11.8691% | 9.7212% | 6.7731% | 8.2936% | 9.5587% | 26.0417% | 28.2942% |
| | | FGM beam along its axial direction |
| | = 300 K | (5%) | 5.6619% | 5.0117% | 5.6988% | 5.1429% | 6.2028% | 5.6765% | 6.4789% | 6.0394% | | (5%) | 5.9169% | 5.8154% | 5.9243% | 5.0552% | 5.5639% | 5.0349% | 5.0739% | 5.1134% | | (5%) | 6.2618% | 6.2209% | 5.9821% | 5.3645% | 6.0643% | 5.8934% | 6.6918% | 6.1129% |
| | = 600 K | (5%) | 5.9368% | 4.9651% | 6.0989% | 5.3348% | 6.5508% | 5.5821% | 6.7065% | 5.9315% | | (5%) | 6.5070% | 6.5424% | 6.2054% | 5.4021% | 6.0851% | 5.1826% | 6.0854% | 5.0826% | | (5%) | 6.2779% | 6.1971% | 5.7743% | 5.5224% | 6.1823% | 6.0234% | 6.6069% | 5.9734% |
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