Vibration Analysis of Flexible Beam Undergoing Both Global Motion and Elastic Deformation

In this paper, the forced vibration of a flexible beam undergoing both global motion and elastic deformation is investigated. The deformation field of the beam is described by its exact linear vibration modes. The coupled nonlinear equation which takes into account the stiffening effect is derived by applying the Lagrange equation for the moving beam. Based on the Newmark direct integration method and the Newton–Raphson iteration method, the computational procedures of the numerical method for solving the nonlinear equation are given. The simulation result of the rotating blade is compared with the others to demonstrate the efficiency of the present method.