The energy method for stability analysis

The following sections are included:

• The energy method and its relation to Euler method

• Column with a constant cross–section loaded at end point

• Heavy compressible column with end force

• Rod with a constant cross–section loaded at end points

• Heavy column with a shear compressibility and end force

• Heavy rotating column with imperfections

• Vertically positioned heavy rotating column

• Use of canonical transformations

• Various variational principles and a priori estimates

• Rayleigh–Ritz and Galerkin methods for stability problems