A SPECTRALLY FORMULATED FINITE-ELEMENT METHOD FOR VIBRATION OF A TUBULAR STRUCTURE

One of the major divisions in the mathematical modelling of a tubular structure is to include the effect of the transverse shear stress and rotary inertia in vibration of members. During the past three decades, problems of vibration of tubular structures have been considered by s ome authors, and special attention has been devoted to the Timoshenko theory. There have been considerable efforts, also, to apply the metho d of spectral analysis to vibration of a structure with rectangular se ction beams. The purpose of this paper is to compare the results of th e spectrally formulated finite element analyses for the Timoshenko the ory with those derived from the conventional finite element method for a tubular structure. The spectrally formulated finite element starts at the same starting point as the conventional finite element formulat ion. However, it works in the frequency domain. Using a computer progr am, the proposed formulation has been extended to derive the dynamic r esponse of a tubular structure under an impact load.