File:Second order under-damped response.svg
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Size of this PNG preview of this SVG file: 600 × 500 pixels. Other resolutions: 288 × 240 pixels | 576 × 480 pixels | 922 × 768 pixels | 1,229 × 1,024 pixels | 2,458 × 2,048 pixels.
Original file (SVG file, nominally 600 × 500 pixels, file size: 30 KB)
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Summary
[edit]| Description |
English: A typical transient response for an under-damped second order system showing the system characteristics. the damping factor is 0.5. The terms represented are:
Created in maxima: beta(zeta) := sqrt(1-zeta^2);
theta(zeta) := atan(beta(zeta)/zeta);
h_under(wt) := 1 - beta(0.5)^-1*exp(-0.5*wt)*sin(wt*beta(.5)+theta(0.5));
load(draw);
draw2d(dimensions=[800,300],terminal=svg,
user_preamble="set mxtics; set mytics;",
grid=true, yrange=[0,1.5], xlabel="omega t",xtics=1,
key="",points_joined=true,
head_both=true,head_length=0.1,line_width=0.5,
line_type=dots,nticks=10,color=black,points([ [3.6,1],[3.6,1.16] ]),
vector([0,1.2],[3.6,0]),label(["t_p",2.0,1.25]),
label(["M_p",3.8,1.05]),
vector([2.42,1],[-2.42,0]),label(["t_r",1.21,1]),
vector([1.29,0.5],[-1.29,0]),label(["t_d",0.64,0.5]),
line_width=1.5,line_type=solid,ylabel="Step response",nticks=100,
color=blue,explicit(h_under(wt),wt,0,10)
);
|
| Date | |
| Source | Own work |
| Author | Krishnavedala |
Also refer Image:Second_order_transfer_function.svg.
Licensing
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I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
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- to share – to copy, distribute and transmit the work
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- 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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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 19:52, 26 May 2011 | | 600 × 500 (30 KB) | Krishnavedala (talk | contribs) | better aspect ratio? |
| 19:39, 26 May 2011 |  | 800 × 300 (29 KB) | Krishnavedala (talk | contribs) |
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