Abstract
The problem of the normal impact of an elastic sphere or bar upon a Timoshenko beam is considered. The impact process is accompanied by material local deformations and propagation of strong discontinuity wave surfaces in the beam. The dynamic deformations behind the wave fronts are determined by means of power series with variable coefficients (ray series). Within the contact region the stressed-strained state is taken into consideration variously according to the type of the striker: for the elastic sphere the contact force is governed by the Hertz’s contact theory, but for the elastic bar the contact stress is found in terms of the theory of discontinuities. These two types of deformations are matched on the contact region boundary. The method of ray series and Hertz’s contact theory allow one to determine analytically the main characteristics of the contact interaction.
The research described in this publication was made possible in part by Grant RJ5300 from the International Science Foundation and Russian Government and by Grant 94-01-00245a from the Russian Foundation for Fundamental Researches.
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© 1996 Springer Science+Business Media Dordrecht
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Rossikhin, Y.A., Shitikova, M.V. (1996). The impact of elastic bodies upon a Timoshenko beam. In: Malanowski, K., Nahorski, Z., Peszyńska, M. (eds) Modelling and Optimization of Distributed Parameter Systems Applications to engineering. IFIP — The International Federation for Information Processing. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-34922-0_40
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DOI: https://doi.org/10.1007/978-0-387-34922-0_40
Publisher Name: Springer, Boston, MA
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