Here's a workshop series that covers modeling linear perturbation procedures in Abaqus. Following are the contents:

   Lab1 a, b -  Natural Frequency Extraction (different end conditions)

   Lab2a     -  Response of a column to sinusoidal loading

   Lab2b     -  Damped free vibrations after removal of the sinusoidal load

   Lab3 a, b -  Buckling of Columns (different end conditions)

   Lab4a     -  Transient Response of the Connecting Lug      

   Lab4b     -  Frequency Extraction Analysis of a Simple Cantilever Beam   

   Lab4c     -  Buckling Analysis of an I-beam

Quiz with Answers to test your understanding of the material.