Solutions are obtained by the method of Laplace transformation for the problem of normal impact of an infinite elastic beam by a semi-infinite elastic rod. The Timoshenko beam theory is used to describe the waves in the beam and elementary one-dimensional bar theory is used to describe the waves in the rod. Numerical results are presented for the velocity and the bending moment. These results are shown to agree well with experimental observations, except at early times.
Normal Impact of an Infinite Elastic Beam by a Semi-Infinite Elastic Rod
Division of Engineering, Brown University, Providence, R. I.
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Ranganath, S. (June 1, 1971). "Normal Impact of an Infinite Elastic Beam by a Semi-Infinite Elastic Rod." ASME. J. Appl. Mech. June 1971; 38(2): 455–460. https://doi.org/10.1115/1.3408797
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