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The non-probabilistic convex model requires only the boundaries of structurally uncertain parameters, making it suitable for dealing with engineering problems with limited samples. However, existing convex models primarily focus on regular mathematical models, potentially leading to an excessive expansion of the uncertainty domain. This paper introduces a new type of convex model, namely the interval and ellipsoidal intersection model, to more accurately constrain the uncertainty domain, and examines its application in structural uncertainty propagation analysis. Firstly, the interval and ellipsoidal intersection model is proposed to describe the uncertainty domain, which is constructed by taking the intersection of the interval model and the ellipsoidal model. Subsequently, the proposed model is applied to structural uncertainty propagation analysis with two cases of nonlinear response functions. For the weakly nonlinear response function, a linear approximation is derived using the first-order Taylor series expansion, and then a semi-analytical method is developed to predict its structural response interval. For the strongly nonlinear response function, a nonlinear approximation is achieved using the second-order Taylor series expansion, and the sequential quadratic programming (SQP) method is adopted to predict its structural response interval. Finally, results from four numerical examples indicate that the proposed model generally offers a smaller uncertainty domain and narrower structural response interval compared to the traditional interval and ellipsoidal models. Additionally, the semi-analytical method is more efficient than the SQP method and the Monte Carlo simulation (MCS) method.
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| 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 |
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