A Dynamic Finite Element (DFE) method for the free vibration of bending-torsion coupled beams

摘要

In this paper, a Dynamic Finite Element (DFE) formulation for the free vibration analysis of bending-torsion coupled beams is presented. First, the exact solutions of the differential equations governing the uncoupled vibrations of a uniform beam are found. The employment of these solutions as basis functions leads to the appropriate frequency dependent shape functions which can then be utilized to find the nodal approximations of variables.