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Active control can directly control the low-frequency vibration and noise of a structure by applying control force on the structural system, so it plays an important role in vibration and noise control. In this paper, a method of left eigenvector assignment based on structural receptances was proposed, and the active control of structural vibration was realized by using the relationship between left eigenvector and excitation of vibration system. Firstly, the assignment of eigenvalues and left eigenvectors was derived based on the structural receptances, so there is no need to establish the system model of the structure and know the M, C and K matrices. Secondly, using the redundant space of the left eigenvector assignment, the left eigenvector of the closed-loop system was assigned in the form of orthogonality with the excitation force vector, and the active control of structural vibration was realized. Finally, the numerical examples were given to verify the effectiveness of the 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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