ティモシェンコばり理論の薄肉開断面ばりの曲げねじれ振動問題への拡張

概要

論文の詳細を見る
Timoshenko's beam theory is extended to the bending-torsion problems of thin-walled elastic beam with open cross section. A set of governing equations for each static and dynamic behavior of the beam is established by considering the effects of transverse and warping shear deformation accompanying bending and non-uniform torsion and, in the case of vibrating beams, rotary and longitudinal inertia. The shear coefficients for non-uniform torsion as well as bending are introduced on the basis of the energy theorem. The phase velocity-wavelength curves for I, ⊏, ∁ and C sections from harmonic wave analysis are illustrated and compared with the results obtained by classical bending-torsion theory. The present theory leads to satisfactory wave velocities for short-wavelength, whereas the classical theory shows the defects that short-wavelength waves travel with infinite velocities and are dispersive in character.
山梨大学の論文