A Review of Nonlinear Flexural-torsional Vibration of A Cantilever Beam

A beam is an elongated member, usually slender, intended to resist lateral loads by bending (Cook, 1999). Structures such as antennas, helicopter rotor blades, aircraft wings, towers and high rise buildings are examples of beams. These beam-like structures are typically subjected to dynamic loads. Therefore, the vibration of beams is of particular interest to the engineer. The paper reviews the derivation by Crespo da Silva and Glyn (1978) for the nonlinear flexural-flexural-torsional vibration of a cantilever beam. Also the numerical algorithm used to solve the equation of motion for the planar vibration of the beam subjected to harmonic excitation at the bas