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File:Acoustics filter bandstop.svg

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Summary

Description
English: Band-stop acoustic filter.
Date
Source Own work
Author Nicoguaro
SVG development
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This plot was created with Matplotlib.
Source code
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Python code

import numpy as np
import matplotlib.pyplot as plt

plt.rcParams['mathtext.fontset'] = 'cm'

bandstop_trans = lambda S, omega, L, Sb, V: 1/(1 + (c/(2*S)/(omega*L/Sb - c**2/(omega*V)))**2)
bandstop_cutoff = lambda Sb, c, L, V: c/(2*np.pi)*np.sqrt(Sb/(L*V))

c = 343.4
a = 0.015
L = 0.06
L = L + 1.7*a
S = 0.003
V = 0.0015
Sb = np.pi * a**2
fc = bandstop_cutoff(Sb, c, L, V)
freq = np.logspace(1, 4, 201)
T = bandstop_trans(S, 2*np.pi*freq, L, Sb, V)
plt.semilogx(freq, T)
plt.text(fc + 50, 0.1,  "Cut-off frequency: {:g} Hz".format(fc))
plt.grid(which="both", alpha=0.4)
plt.xlabel("Frequency (Hz)")
plt.ylabel("$T_\pi$")
plt.title("High-pass filter for $S=30$ cm², $a=1.5$ cm, $V=1500$ cm³")
plt.savefig("Acoustics filter bandstop.svg")

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 4.0 International license.
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  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.

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17 August 2018

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d79e3f547a9eac1b8bb953508c7c074a11030510

65,757 byte

432 pixel

576 pixel

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Date/TimeThumbnailDimensionsUserComment
current22:39, 17 August 2018Thumbnail for version as of 22:39, 17 August 2018576 × 432 (64 KB)NicoguaroReduce number of points.
22:31, 17 August 2018Thumbnail for version as of 22:31, 17 August 2018576 × 432 (64 KB)NicoguaroUser created page with UploadWizard

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