Buckling Linear

You can create and solve linear buckling problems in structural analysis.

To solve linear buckling, first apply a reference level of loading, $f_{r e f}$ , to the structure.

Then, perform linear static analysis to obtain the stresses needed to form the geometric stiffness matrix, $K$ , corresponding to $f_{r e f}$ . Calculate buckling loads by solving an eigenvalue problem. Not all eigenvalues are required; only a small number of the lowest eigenvalues are normally calculated for buckling analysis.

The lowest eigenvalue

λ_{c r i t}

is associated with buckling. The critical, or buckling, load is calculated as:(1)

f_{c r i t} = λ_{c r i t} f_{r e f}