How to solve PDE/Euler Bernoulli equation using MATLAB/Simulink?

Hi, Currently I am working on Euler-Bernoulli eqn of a beam. I want to get the deflection response (y) of the partial differential equation (PDE). Since PDE has mixed variable (t and x for example) and simulink has only module for derivative with respect to time. So I need to use MATLAB-function block from simulink library and generate code for PDE. If you have any ideas on this please share.

If not simulink, how to code them in MATLAB using FEA or FD method?

Any help would be appreciated.

Thanks in advance.

Answer 1

[Torsten]

Maybe a starting point:

http://www.ijastnet.com/journals/Vol_2_No_8_October_2012/10.pdf

Best wishes

Torsten.

[Mahmudur Rahman]

Thanks for you reference. However I am looking for detailed reference where I can find deflection response in terms of time and space for different excitation input such as random, impulse, sinusoidal etc. Also I want to analyze the mode shapes

Answer 2

[Vani Madhavi Tukkapuram]

dI1(t)/dt = -(D) 0<=t<=t1

dI2(t)/dt + theta (t) I2(t) = -(D) t1<=t<=T