# Integrate acceleration to velocity and displacement

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tupac1971ful le 25 Mar 2016
I have taken 5000 measurements for acceleration with its acceleration's respective time. I created 2 vectors: for my acceleration measurements named "acceleration" and for time named "time". Which commands should i use exactly to intergate? I tried : velocity=cumtrapz(acceleration,time) & displacement=cumtrapz(velocity,time) and then to do the diagrams plot(time,velocity) & plot(time,displacement). Is that correct, or should i try another commands?
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### Réponses (4)

John D'Errico le 25 Mar 2016
Modifié(e) : John D'Errico le 25 Mar 2016
It looks close to good to me. Why do YOU think there is a problem?
Hint: Read the help for the tools you will use. In this case, cumtrapz.
When there are two arguments to cumtrapz, they should be in the order cumtrapz(x,y). Again, from the help, it shows this:
Z = cumtrapz(Y)
Z = cumtrapz(X,Y)
With only one argument, so an implicit X step of 1, you just pass in Y. With two arguments, i.e., acceleration and time, they must go in the proper order.
So, if you will integrate acceleration over time,
velocity = cumtrapz(time,acceleration);
Similarly, the second integral must have its arguments in the proper order.
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Maaz Nayeem le 3 Fév 2020
check the graphs with seismo signal software.
hey, I think it's too late, but the correct order is (time, acceleration) (you can check the cumtrapz documentation). I asked a friend of mine, and it's normal that the speed doesn't look right. You can use detrend to kinda fix it.

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Dr. Seis le 10 Avr 2016
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Luke Laurence le 6 Fév 2018
Can you explain how your code converts between the different units? Example: Acceleration to Displacement.

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Sumangali Sivakumaran le 25 Avr 2019
Though velocity = cumtrapz(acceleration,time); give some answers, velocity = cumtrapz(time,acceleration); is the correct way of doing.
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Prasanth Reddy le 13 Juin 2022
t=0:0.05:947*0.05;
ax = data(:,1) ;
vx=cumtrapz(t,ax);
dx=cumtrapz(t,vx);
subplot(1,3,1);
plot(t,ax);
subplot(1,3,2);
plot(t,vx);
subplot(1,3,3);
plot(t,dx);
this code is not working properly and i cant figure out why
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