File:Loi de mouvement polynome 3 4 5.svg

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Description
Français : Loi de mouvement polynomiale 3-4-5 en position.
English: 3-4-5 polynomial motion law for the position.
Date
Source Own work
Author Cdang

Scilab source

function [j]=jerk(t)
    j = 60*(6*(t - 1).*t + 1);
endfunction

function [a]=acceleration(t)
    a = 60*((2*t - 3).*t + 1).*t;
    endfunction

function [v] = vitesse(t)
    v = 30*((t - 2).*t + 1).*t.*t;
endfunction

function [x] = position(t)
    x = ((6*t - 15).*t + 10).*t.*t.*t ;
endfunction

t = 0:0.005:1;

j = jerk(t);
a = acceleration(t);
v = vitesse(t);
x = position(t);

scf(0);
clf;

subplot(4, 1, 1)
plot(t, x)
xtitle("position", "t/T", "$x/x_0$")

subplot(4, 1, 2)
plot(t, v)
xtitle("vitesse", "t/T", "$v/(x_0/\mathrm{T})$")

subplot(4, 1, 3)
plot(t, a)
xtitle("accélération", "t/T", "$a/(x_0/\mathrm{T}^2)$")

subplot(4, 1, 4)
xtitle("à-coup", "t/T", "$j /(x_0/\mathrm{T}^3)$")
plot(t, j)

Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International 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.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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Date/TimeThumbnailDimensionsUserComment
current11:08, 27 August 2018Thumbnail for version as of 11:08, 27 August 2018584 × 740 (130 KB)Cdang (talk | contribs)transparent background, thicker lines, dashed zero level
11:04, 27 August 2018Thumbnail for version as of 11:04, 27 August 2018584 × 740 (105 KB)Cdang (talk | contribs)User created page with UploadWizard

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