Abstract
Vibration and stability of elastic columns subjected to uniformly distributed follower forces are investigated by means of the finite difference method for six typical cases of boundary conditions. A system of k finite difference equations is made of compact form by introducing the concept of a transfer matrix. The behavior of the eigenvalue curve is demonstrated in detail for various values of non-conservativeness parameter of the applied force. Precise stability maps are obtained from the eigen value analysis which determines the divergence and flutter limits.
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