Dynamic modeling and nonlinear free vibration analysis of a rotating 3D beam induced by adjacent two revolute joints

In this article, a 3D dynamic model and nonlinear free vibration analysis of uniform beam attached to rigid hub rotating at two adjacent rotary joints are presented. The is performed by considering the effects steady-state axial deformation, Coriolis terms, geometric nonlinearity means von Karman’s strain–displacement relations. coupled axial, chordwise, flapwise equations motion derived from Hamilton’s principle. Then, Galerkin’s procedure utilized discretize governed partial differential equations. radius rotational speeds incorporated into governing motion. relative term on chordwise deformations considered investigated. validity present numerical results verified comparing them with available cantilever without various speeds. quantitative data obtained within limit speed rotation reveals that factor has significant impact bending frequencies but not really frequencies.