Am. Horr et Lc. Schmidt, A SPECTRALLY FORMULATED FINITE-ELEMENT METHOD FOR VIBRATION OF A TUBULAR STRUCTURE, Structural engineering and mechanics, 4(3), 1996, pp. 209-226
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.