In Workbench Simulation v11, can I use nonzero displacement conditions in a linear buckling analysis?

Yes, but please be aware that when you apply non-zero displacements, the displacement plots will show zero, even if the scaled displacements will cause buckling. As a result, it is important to note that the displacement results will not reflect the imposed values. From the "Structural Analysis Guide" (and closely repeated in Simulation Help > Analysis Types > Linear Buckling):

"You can apply a nonzero constraint in the prestressing pass as the static load. The eigenvalues found in the buckling solution will be the load factors applied to these nonzero constraint values. However, the mode shapes will have a zero value at these degrees of freedom (and not the nonzero value specified)."

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