File:Second order under-damped response.svg
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Original file (SVG file, nominally 600 × 500 pixels, file size: 30 KB)
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Summary
| 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
I, the copyright holder of this work, hereby publish it under the following license:
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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 | better aspect ratio? |
| 19:39, 26 May 2011 |  | 800 × 300 (29 KB) | Krishnavedala |
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