Stresses in an Infinite Beam Impacted by an Elastic Bar
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Many solutions of beam impact problems have been derived on the basis of the elementary or Timoshenko beam equation. But in a majority of them impact loads are assumed and so the results are only qualitative. Here an infinite beam impacted by an elastic bar is treated without assuming the impact load. Making use of the elementary beam equation and supplying a new assumption of contact between beam and bar, the stresses in them can be analytically obtained. As one case, an analysis by the Timoshenko bending theory is also presented and it is shown that the rotatory inertia and shear deformation have no serious influence on the magnitude of impact stresses. Those theoretical results are compared with experimental ones and good agreement between them is recognized except in a short time range after the impact or at the wave front.
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