Research Article
Stability Analysis of Multispan Pipeline Embedded in Temperature-Dependent Matrix
Table 2
The key point data of Figures
3 and
4.
| Temperature variation | Natural frequency U = 0, (Hz) | Critical velocity (m/s) | Critical pressure (N/m2) |
| ΔT = 0 | 1st order 55 | 1st order 252 | 1st order 5.1 × 107 | 2nd order 81 | 2nd order 344 | 2nd order 9.3 × 107 | 3rd order 201 | | |
| ΔT = 10 K | 1st order 48 | 1st order 220 | 1st order 3.85 × 107 | 2nd order 76 | 2nd order 320 | 2nd order 8.15 × 107 | 3rd order 195 | | |
| ΔT = 20 K | 1st order 30 | 1st order 180 | 1st order 2.6 × 107 | 2nd order 70 | 2nd order 296 | 2nd order 6.95 × 107 | 3rd order 190 | | |
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