How to integrate a complicated function?

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SAM
SAM 2023-6-22
编辑： SAM 2023-6-23
Ran in:
Hello,
I am trying to integrate the following function using 'int' but it is not working. Is there any other way to integrate it?
clear
clc
close all
syms z L EI n kd
x=sin(n*pi*z/L);
x1=simplify(diff(x,z));
x2=simplify(diff(x1,z));
k1=int(EI*x2^2,z,[0,L]);
k3=int(x1^2,z,[0,L]);
k2=kd*int((z)^.5*x^2,z,[0,L])
k2 = 
  2 个评论
Sam Chak
Sam Chak 2023-6-23
Hi @SAM,
I see and .
So I guess this problem is related to the Euler–Bernoulli or the Timoshenko–Ehrenfest beam theory.
If this is boundary value problem, you can try solving it using the bvp4c() function.
SAM
SAM 2023-6-23
编辑：SAM 2023-6-23
@Sam Chak my ode here is 4th order, it is actually a pile's buckling equation where I am trying to solve for N. Is there another function to solve for 4th order?

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回答（1 个）

Torsten
Torsten 2023-6-22
编辑：Torsten 2023-6-23

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