Research Article
Numerical Study on Propagative Waves in a Periodically Supported Rail Using Periodic Structure Theory
Table 2
The bounding frequencies of stop bands.
| | Stop band | 1st | 2nd | 3rd | 4th | 5th | 6th |
| Bounding frequencies width (Hz) | A | 445.2–459.7 | 1424.5–1430.2 | 2746.9–2750.5 | 4005.2–4005.4 | 4991.4–4996.1 | 5975.7–5981.1 | 14.5 | 5.7 | 3.6 | 0.2 | 4.7 | 5.4 | B | 962.5–1001.5 | 2584.2–2597.5 | 4027.9–4034.9 | 5006.45–5006.48 | 5717.2–5721.2 | | 39.0 | 13.3 | 7 | 0.03 | 4 | | C | 763.0–827.7 | 2157.6–2183 | 3438.5–3449.7 | 4755.1–4755.3 | | | 64.7 | 25.4 | 11.2 | 0.2 | | | D | 1815.1–1855.3 | 2725–2741.6 | 4287.2–4288.8 | | | | 40.2 | 16.6 | 1.6 | | | | E | 3982.7–3985.1 | 5601.2–5617.3 | | | | | 2.4 | 16.1 | | | | | F | 4371.1–4379 | 5295.1–5298.1 | | | | | 7.9 | 3 | | | | | G | 5457.8–5480.4 | | | | | | 22.6 | | | | | |
| Wavenumber (rad/m) | π/d = 4.833 | 2π/d = 9.666 | 3π/d = 14.500 | 4π/d = 19.333 | 5π/d = 24.166 | 6π/d = 28.999 |
| Wavelength (m) | (2/1) d = 1.3 | (2/2) d = 0.65 | (2/3) d = 0.433 | (2/4) d = 0.325 | (2/5) d = 0.26 | (2/6) d = 0.217 |
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