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The elastic foundation typically exerts a suppressive effect on the vibration response of the supported structure, and the influence of the soil-structure interaction effect on the dynamic characteristics of the structure exhibits typical nonlinear energy sink characteristics. At present, more and more attention has been paid to the dynamic research of elastic foundation beams considering soil motion. Based on the modified Winkler model, the finite-depth elastic foundation is equivalent to the additional mass of the nonlinear energy sink system, and the vibration suppression effect and parameter optimization of the elastic foundation on the finite-length beam supported by it under simple harmonic excitation is conducted. The nonlinear dynamic response of a simply supported beam on an elastic foundation is analyzed using the Galerkin method, the incremental harmonic balance method, and the arc-length continuation method. Furthermore, on the basis of verifying the correctness of the theoretical results by numerical methods, through multi-parameter optimization and analysis, the suppression effect of limited range soil on the dynamic response of its supporting beam is revealed, and the optimal parameter range of nonlinear stiffness and damping of the elastic foundation is proved. The results show that by adjusting the elastic soil parameters to the optimal range by technical means, the amplitude reduction percentage of the finite-length beam can reach more than 96%, and it has a wide vibration suppression frequency band.
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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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