This paper proposes a Tuned Negative-stiffness Inerter Mass Damper (TNIMD) to mitigate seismic vibrations in primary structures during earthquake excitation. The equations of motion for the coupled system of the primary structure and TNIMD are obtained using the Lagrange function,and fixed-point theory is applied for optimal design. The impact of negative-stiffness coefficient on control performance is also discussed. Subsequently,a parametric analysis and evaluation of seismic vibration control are conducted. The results indicate that the displacement response of a primary structure equipped with the TNIMD is significantly less than those with a Vibration Tuned Mass Damper with Inerter (VTMDI) without a negative-stiffness spring. Furthermore,the smaller the mass and inertance ratios,the greater the advantages of TNIMD in vibration control,outperforming VTMDI. This confirms the requirement of installation limitations and the selection of a small mass ratio engineering. Additionally,seismic analysis shows the displacement and absolute acceleration of a primary structure equipped with TNIMD are superior to VTMDI under far-field,near field with pulse,and near-field without pulse earthquakes. The theoretical analysis and optimal design presented in this paper are suggested for engineering applications for seismic vibration control using TNIMD.
| 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 |