Research Article
Statistical Identification of Parameters for Damaged FGM Structures with Material Uncertainties in Thermal Environment
Table 6
COVs of material elastic moduli and volume fraction index for different cases of uncertainty.
| | Temperature | Parameters
(given values) | SR and MN | SR only | MN only | Level 1
(1% SR 0.1% MN) | Level 2
(1% SR 0.5% MN) | Level 3
(5% SR 0.1% MN) | Level 4
(5% SR 0.5% MN) | 1% | 5% | 0.1% | 0.5% |
| | | FGM through its thickness |
| | = 300 k | (1%/5%) | 3.0398% | 14.0489% | 6.1553% | 15.3656% | 1.0956% | 5.5865% | 2.8725% | 14.2591% | | (1%/5%) | 2.1465% | 9.2254% | 6.2834% | 11.5036% | 1.1123% | 5.9712% | 1.7987% | 9.8175% | | (1%/5%) | 4.5745% | 22.0164% | 9..9623% | 22.8086% | 1.0342% | 5.2633% | 4.4465% | 22.0228% |
| | = 600 K | (1%/5%) | 3.2289% | 15.0723% | 6.4379% | 16.0919% | 1.1446% | 5.6354% | 2.9657% | 15.0258% | | (1%/5%) | 2.2965% | 9.9145% | 6.8224% | 11.6645% | 1.1962% | 6.2367% | 1.9336% | 9.8444% | | (1%/5%) | 4.4755% | 21.9856% | 9.7212% | 22.7138% | 1.0331% | 5.3643% | 4.2429% | 21.9586% |
| | | FGM beam along its axial direction |
| | = 300 K | (1%/5%) | 2.0698% | 8.6736% | 5.6988% | 10.1014% | 1.1134% | 5.3245% | 1.7669% | 8.6012% | | (1%/5%) | 1.2578% | 3.2402% | 5.9243% | 6.2348% | 1.0989% | 5.3717% | 0.6229% | 3.0479% | | (1%/5%) | 2.7756% | 12.6854% | 5.9821% | 13.5611% | 1.0334% | 4.8631% | 2.6207% | 12.6327% |
| | = 600 K | (1%/5%) | 2.1761% | 9.5164% | 6.0989% | 11.0243% | 1.1456% | 5.6354% | 1.8449% | 9.4465% | | (1%/5%) | 1.3856% | 3.6823% | 6.2054% | 6.91654% | 1.1934% | 5.9669% | 0.6939% | 3.4742% | | (1%/5%) | 2.7799% | 13.1743% | 5.7743% | 14.0605% | 1.0299% | 4.9781% | 2.5838% | 13.1392% |
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