Research Article
Seismic Acceleration Spectrum of Ground Surface under Urban Subway Tunnels with Circular Cross Sections in Soil Deposits Based on SSI
Table 5
The first and second mode frequencies and Rayleigh’s alpha and beta for all models of Table
2 due to modal analysis.
| | No. | ωn1 (rad/s) | ωn2 (rad/s) | α | β |
| | 1 | 3.1393 | 3.9781 | 0.1755 | 0.0141 | | 2 | 3.1339 | 3.9781 | 0.175 | 0.0141 | | 3 | 3.2084 | 3.9783 | 0.178 | 0.0139 | | 4 | 3.21875 | 3.9782 | 0.178 | 0.0139 | | 5 | 3.1854 | 3.9823 | 0.177 | 0.014 | | 6 | 3.49 | 4.4462 | 0.196 | 0.0126 | | 7 | 3.5024 | 4.44762 | 0.196 | 0.0126 | | 8 | 3.5932 | 4.4478 | 0.199 | 0.0124 | | 9 | 3.5374 | 4.4521 | 0.197 | 0.0125 | | 10 | 3.8437 | 4.8721 | 0.215 | 0.0115 | | 11 | 3.8354 | 4.87204 | 0.215 | 0.0114 | | 12 | 3.9391 | 4.8722 | 0.218 | 0.01135 | | 13 | 3.933 | 4.8723 | 0.218 | 0.0114 | | 14 | 3.8707 | 3.87682 | 0.216 | 0.0114 | | 15 | 3.895 | 4.8771 | 0.217 | 0.0114 | | 16 | 4.1274 | 5.2608 | 0.231 | 0.0107 | | 17 | 4.1416 | 5.2624 | 0.232 | 0.0106 | | 18 | 4.2452 | 5.2627 | 0.235 | 0.0105 | | 19 | 4.1767 | 5.26745 | 0.233 | 0.0106 | | 20 | 4.4372 | 5.6258 | 0.248 | 9.937 10−3 | | 21 | 4.4265 | 5.6257 | 0.248 | 9.948 10−3 | | 22 | 4.5452 | 5.626 | 0.251 | 9.832 10−3 | | 23 | 4.5355 | 5.626 | 0.251 | 9.841 10−3 | | 24 | 4.4614 | 5.6311 | 0.249 | 9.908 10−3 | | 25 | 4.4915 | 5.6314 | 0.25 | 9.879 10−3 | | 26 | 4.6785 | 5.9652 | 0.262 | 9.3953 10−3 | | 27 | 4.6941 | 5.967 | 0.263 | 9.38 10−3 | | 28 | 4.808 | 5.9673 | 0.266 | 9.281 10−3 | | 29 | 4.7286 | 5.9725 | 0.264 | 9.345 10−3 | | 30 | 4.95982 | 6.2901 | 0.277 | 8.889 10−3 | | 31 | 4.9471 | 6.2895 | 0.277 | 8.899 10−3 | | 32 | 4.9814 | 6.2958 | 0.278 | 8.868 10−3 | | 33 | 5.0654 | 6.2901 | 0.281 | 8.806 10−3 | | 34 | 4.9309 | 6.2876 | 0.276 | 8.914 10−3 | | 35 | 3.1683 | 3.9822 | 0.176 | 0.014 | | 36 | 3.1227 | 3.9768 | 0.175 | 0.014 |
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