This study addresses the complex scenario where the parameters of the powertrain mounting system (PMS) of an electric vehicle exhibit both uncertainty and correlation. A robust design optimization method for the PMS, considering parametric uncertainty and correlation, is investigated. Firstly, based on Nataf transform and Monte Carlo sampling, the Nataf-Monte Carlo(NMC) method is proposed for the uncertainty and correlation analysis of PMS inherent characteristics, where the probabilistic parameters are correlated. Then, an efficient method, the Nataf-arbitrary polynomial chaos expansion (NAPCE) method, is derived for PMS response analysis by integrating Nataf transformation with arbitrary polynomial chaos expansion. Next, based on the NAPCE method and correlation coefficient weighting method, a robust design optimization method for PMS is developed, accounting for the uncertainty and correlation of responses. Finally, a numerical example is used to verify the effectiveness of the proposed method, and the robust optimization of the system is carried out. The results show that, compared to the NMC method, the NAPCE method offers good computational accuracy and efficiency for analyzing uncertainty and correlation in PMS responses. The proposed optimization method can configure the PMS parameters reasonably and improve the robustness of system.
| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |