In this paper,a method for calculating the vibration response of beams damped with constrained damping layer is presented. The indoor vibration experiment of I-beam was carried out,and the vibration response at different positions was measured. A numerical simulation model was established simultaneously based on the finite element method,and the natural frequencies and modal loss factors of I-beam were calculated accurately by using the modal strain energy method. Based on the above results,the modal superposition method was used for the harmonic response analysis,and the vibration response of the I-beam damped with constrained damping layer was obtained. The accuracy of the model was verified by comparing the measured and simulated results. The effects of design parameters (damping layer thickness and constrained layer thickness) on the natural frequency,modal loss factor and overall vibration acceleration level were analyzed. The results show that the vibration response of each component has a similar change rule. The overall vibration acceleration level of web is the largest,followed by the bottom,and the roof is the smallest. In general,the thickness of damping layer has little effect on the first 5 order natural frequencies of I-beam,but with the increase of the thickness of constrained layer,the first 5 order natural frequencies of I-beam decrease first and then increase. Increasing the thickness of damping layer and constrained layer can continuously improve the modal loss factor of I-beam,thereby reducing the overall vibration acceleration level effectively,and the vibration reduction effect of web is better than that of roof and bottom.
| 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 |