ElasticBeam

Version 1.1.0.0 (1.97 KB) by Lucas Gasparino
Small program for calculating an elastic beam vibration.
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Updated 4 Feb 2016

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This program calculates both angular deflection and total displacement of a vibrating, continuous beam. It's based on finite difference methods for the PDE. The equilibrium parameter for a stable solution is c*r<0.1 (use multiples of 1, 2 and 5 for the steps and c*r<0.5 is a good guess). If not, the equation becomes unstable and a solution is not found.
I'll modify it shortly so that it calculates also bending moments, but it's not hard to do this. Also, BC's and IC's can be modified in the script, as can be the forcing load causing vibration.
Just remember to use consistent units!
Have fun!

Cite As

Lucas Gasparino (2024). ElasticBeam (https://www.mathworks.com/matlabcentral/fileexchange/55233-elasticbeam), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2013a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes
1.1.0.0

Modified to calculate bending moment and small correction on the % Solution section (substitute for the code below):

y(i+1,j)=-(c*r)*(y(i,j-2)-4*y(i,j-1)+6*y(i,j)-4*y(i,j+1)+y(i,j+2))+((1/(rho*A))*(k^2))*F(i,j)+(2*y(i,j)-y(i-1,j));
end
end
1.0.0.0