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The directional dimensional analysis method is commonly used in the design of similar scale-down models of hull structures. However, the traditional dimensional analysis method based on elastic theory cannot reflect the nonlinear response process of a structure, which limits its application in the scale down model test of hull structures. In this paper, based on the finite similarity method, the scale-down factors of the geometric dimension, material density and time of a structure were obtained by matching the transport equations in the physical space and the trial space. The nonlinear similarity relationship between the scaled down model of the stiffened plate structure and the prototype was derived, and the influence of the material parameters on the nonlinear similarity process was analyzed. By calculating the ultimate strength of the stiffened plates subjected to plain compression, the effectiveness of the scaling criterion based on the finite similarity method was verified. The result shows that the present method can well reflect the nonlinear characteristics of materials, and achieve a good prediction on the ultimate strength of the original model through the results of the scale down model.
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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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