the buckling shape for clamped-free column is v(x)=1-cos(n*pi/2*L), n=1,3,5 ...
how could i use the discrete model to get the buckling mode shape matrix?
for example 3x3 matrix
form a stiffness matrix and solve the eigenvalue problem?
L=1;E=1;I=1
l=L/3 % 3-element beam...
I was wondering the critical load vary as a result of forced vibration?
Intuitionally, I thought the critical load reduced.
But how to show it analytically, Any idea?