Vibration of a Rayleigh cantilever beam with axial force and tip mass

• Published in: Journal of constructional steel research Vol. 80; pp. 15 - 22
• Main Authors: Li, X.F., Tang, A.Y., Xi, L.Y.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.01.2013
• Subjects: Beams (radiation); Cantilever beams; Concentrated mass; Free vibration; Inertia; Integral equations; Mathematical analysis; Mathematical models; Natural frequencies; Resonant frequency; Rotatory inertia; Varying axial loading; Vibration; Concentrated mass; Rotatory inertia; Varying axial loading; Free vibration; Natural frequencies

Transverse vibration of a cantilever beam with arbitrarily distributed axial loading and carrying a concentrated mass at the free end is studied. Rotatory inertia of cross-section of the beam is taken into account, and the problem is reduced to an integral equation. By seeking a nontrivial solution...