奥行き方向の断面変形を考慮した梁理論

概要

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In the case of the usual analysis of beams, lateral components (along the depth) of the beam are neglected, but this assumption is not always suitable for the case of real beams. The present paper proposes general higher-order equations of one-dimensional static and dynamic beam theory including the effects of lateral components as well as transverse components of beams with generally anisotropic property by expanding the displacements of double infinite Power series with respect to the transverse and lateral coordinates of the beams. Some typical examples of the general higher-order beam equations using finite Power series expansion are compared with the previously proposed beam theories, and the relations among these theories are studied. And further, the numerical results are shown for the case of the frequency spectrum of simply supported beam by these theories.
山梨大学の論文