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
1st2nd3rd4th5th6th

Bounding frequencies width (Hz)A445.2–459.71424.5–1430.22746.9–2750.54005.2–4005.44991.4–4996.15975.7–5981.1
14.55.73.60.24.75.4
B962.5–1001.52584.2–2597.54027.9–4034.95006.45–5006.485717.2–5721.2
39.013.370.034
C763.0–827.72157.6–21833438.5–3449.74755.1–4755.3
64.725.411.20.2
D1815.1–1855.32725–2741.64287.2–4288.8
40.216.61.6
E3982.7–3985.15601.2–5617.3
2.416.1
F4371.1–43795295.1–5298.1
7.93
G5457.8–5480.4
22.6

Wavenumber (rad/m)π/d = 4.8332π/d = 9.6663π/d = 14.5004π/d = 19.3335π/d = 24.1666π/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