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Considering the complexity of solving the seismic response of the energy-dissipated isolated structure with six-parameter viscoelastic damper under the excitation of Li Hongjing spectrum，a concise solution that can obtain random seismic response is proposed. The analysis model of six-parameter viscoelastic damper with support is adopted，and the mathematical modeling of energy dissipation and isolation structure with viscoelastic damper is realized by differential constitutive equation. Combined with complex mode method and the pseudo excitation method （PEM），the unified expression of frequency domain solution for system series response （displacement，velocity and damper force） of vibration isolation system is obtained. Taking Li Hongjing spectrum as the excitation power spectrum，the excitation power spectrum and the eigenvalue function of structural frequency response are simplified，and the concise analytical solutions of the system response power spectrum，response spectral moment and response variance under the random excitation are obtained. An example is given to verify the accuracy and efficiency of the proposed method in analyzing the dynamic response of the system compared with the traditional response analysis method such as the PEM，and the influence of different support stiffness on the vibration reduction effect of the damper is discussed.
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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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