せん断変形を考慮した薄肉ばりの曲げねじれ理論

概要

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Bending-torsion theory is developed for static or dynamic behavior of thin-walled elastic beams with shear deformation. The formulation of the problem is performed in a systematic way, using both the principles of virtual work and of complementary virtual work. The governing equations of the motion include effects of transverse shear deformations accompanying bending and non-uniform torsion as well as their coupling effect, which being not considered in previous theory, and rotary and warping inertia in the dynamic case. By means of harmonic wave analysis, dispersion curves of the phase velocities for some typical cross-section with one axis of symmetry are illustrated. They show that the present theory leads to satisfactory transmission velocities of the waves at short wavelength and high frequencies, compared to the results predicted by the classical theory, and that interaction between two types of shear deformation yields increasing influence on the wave velocities as asymmetry of the cross-section is intensified.
山梨大学の論文