Free vibration of a rotating non-uniform beam with arbitrary pretwist, an elastically restrained root and a tip mass

摘要: Abstract The governing differential equations for the coupled bending–bending vibration of a rotating beam with tip mass, arbitrary pretwist, an elastically restrained root, and at constant angular velocity, are derived by using Hamilton's principle. frequency equation system is expressed in terms transition matrix transformed vector characteristic equation. influence rotary inertia speed, geometric parameter cross-section beam, setting angle, pretwist parameters on natural frequencies investigated. difference between effects angle pretwisted unpretwisted beams revealed.