File:Mplwp resonance D.svg

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Original file ‎(SVG file, nominally 600 × 400 pixels, file size: 28 KB)

Captions

Captions

Add a one-line explanation of what this file represents

Summary[edit]

Description
English: Plot of the steady-state amplitude of a damped driven oscillator with different damping ratios D. The relative driving frequency is plotted in the interval [0, 3]:
Date
Source Own work
Author Geek3
SVG development
InfoField
 
The SVG code is valid.
 
This plot was created with mplwp, the Matplotlib extension for Wikipedia plots.
Source code
InfoField

mplwp source code

The plot was generated with mplwp 1.0 
#!/usr/bin/python
# -*- coding: utf8 -*-

import matplotlib.pyplot as plt
import matplotlib as mpl
import numpy as np
from math import *

code_website = 'http://commons.wikimedia.org/wiki/User:Geek3/mplwp'
try:
    import mplwp
except ImportError, er:
    print 'ImportError:', er
    print 'You need to download mplwp.py from', code_website
    exit(1)

name = 'mplwp_resonance_D.svg'
fig = mplwp.fig_standard(mpl)
xlim = 0,3; fig.gca().set_xlim(xlim)
ylim = 0,5.5; fig.gca().set_ylim(ylim)
mplwp.mark_axeszero(fig.gca())

for D in [0.1, 0.2, 0.3, 0.5, 1]:
    f = lambda x: 1.0 / sqrt((x**2 - 1.0)**2 + (2*x*D)**2)
    x = np.linspace(xlim[0], xlim[1], 6001)
    y = [f(xx) for xx in x]
    plt.plot(x, y, label='D={:g}'.format(D))
    
plt.legend(loc='upper right').get_frame().set_alpha(0.9)

plt.savefig(name)
mplwp.postprocess(name)

See also[edit]

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
You are free:
  • 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.
You may select the license of your choice.

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current13:54, 11 January 2015Thumbnail for version as of 13:54, 11 January 2015600 × 400 (28 KB)Geek3 (talk | contribs)resonance_D plot by Geek3

You cannot overwrite this file.

There are no pages that use this file.

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:Mplwp_resonance_D.svg&oldid=438358756"