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- W2043498352 abstract "Abstract Solutions are obtained for the problem of an infinite elastic beam subjected to essentially constant velocity boundary conditions at one point of the beam. The effects of finite deflections, normal force, rotatory inertia and shear deformation are included. The equations of the problem are converted into non-dimensional form and a perturbation approach is used to obtain a consistent approximation. Numerical solutions are obtained for the bending moment, shear force and the normal force for different velocities of impact. It is shown that the solution to the problem depends on a combined geometrical and material parameter which does not vary significantly for compact sections and a loading parameter which determines the amplitude of the response. Finally the linear Timoshenko beam theory is shown to predict the bending moment and shear force extremely well even when the deflections are large enough to cause appreciable stretching of the centroidal axis." @default.
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- W2043498352 date "1974-06-01" @default.
- W2043498352 modified "2023-09-26" @default.
- W2043498352 title "Finite deflection dynamics of elastic beams" @default.
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- W2043498352 doi "https://doi.org/10.1016/0020-7683(74)90042-0" @default.
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