Vibration and stability of elastic columns under the combined action of uniformly distributed vertical and tangential forces

✍ Scribed by Y. Sugiyama; H. Kawagoe

• Publisher: Elsevier Science
• Year: 1975
• Tongue: English
• Weight: 615 KB
• Volume: 38
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(75)80051-4

✦ Synopsis

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 eigenvalue analysis which determines the divergence and flutter limits.