Integration using Cumtrapz backwards instead of forwards

13 visualizaciones (últimos 30 días)
Hey all, I am trying to create a program that will take distributed point loads from lift generated by a wing and create moment and shear diagrams using numerical integration through cumtrapz
The way I am doing this is by integrating the points and locations which gets me a shear force, but because cumtrapz integrates numerically forward, it technically creates the right graph but backwards from a conventional beam analysis, which creates cuts. Is it possible to make Cumtrapz work backwards? I have attached images of what I want vs what I get for an example
Desired Shear diagram
Obtained Shear Diagram
The obvious solution is just to subtract the maximum value from the graph but this does not encapsulate the essence of what's going on, and also creates a further problem in the bending moment diagram.
Here's the code
L_dist =[10 9 8 7 6 5 4 3 2 1 0];
locations=[0 1 2 3 4 5 6 7 8 9 10];
shear.z = cumtrapz(locations,(L_dist));
figure('Name','shear - z','NumberTitle','off');
plot(locations, shear.z);

Respuesta aceptada

Sean de Wolski
Sean de Wolski el 19 de Nov. de 2021
Easy solution is to just flip everything
L_dist =[10 9 8 7 6 5 4 3 2 1 0];
locations=[0 1 2 3 4 5 6 7 8 9 10];
shear.z = flip(cumtrapz(flip(locations),flip(L_dist)));
figure('Name','shear - z','NumberTitle','off');
plot(locations, shear.z);
  1 comentario
Ramses Young
Ramses Young el 20 de Nov. de 2021
I cant believe I didn't think of this, but you sir are a legend, I really appreciate it.

Iniciar sesión para comentar.

Más respuestas (0)

Categorías

Más información sobre Programming en Help Center y File Exchange.

Productos


Versión

R2018a

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by