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This paper derives the analytical solution for the buckling load of extension-twist multicoupled laminates. The optimization targets both the buckling load and coupling effect, with verification through simulations and experiments. Using the double trigonometric series method, the analytical solution for the buckling load of the extension-twist multicoupled laminate, simply supported on all four sides and subjected to in-plane compressive loads, is obtained. Based on this, a multi-objective optimization design model for the extension-twist multicoupled laminate is established, with the optimization objectives of maximal buckling load and coupling effect. The optimization is achieved using the sequential quadratic programming (SQP) algorithm, and the laminate with enhanced coupling effect and buckling load is designed. Based on the ply angle sequence of the optimal laminate, numerical simulations and robustness analyses confirm the buckling model. Compared to the simulation results, the analytical solution error for the buckling load of the laminate is within 5%, validating the theoretical framework. Experimental measurements using a multi-directional loading test machine reveal that the discrepancy between measured and theoretical buckling loads is within 3%, further verifying the theory's accuracy. This research provides valuable insights for improving the load-bearing capacity of structures such as wings and wind turbine blades.
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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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