Abstract
This article investigates the vertical impact of an absolutely rigid body (indenter) on a membrane. The supersonic (initial) and subsonic stages of unsteady interaction are considered. The solution at the initial stage of contact interaction is reduced to solving a differential equation. A resolving system of equations was obtained for the problem at subsonic stage. The Green’s function for the membrane is found and a numerical-analytical algorithm is constructed to solve the system. The unknown functions calculation results are presented in the graph form.
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References
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Acknowledgements
The authors would like to acknowledge the financial support of the Russian Foundation for Basic Research (project â„– 19-08-01023 A).
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Mikhailova, E.Y., Fedotenkov, G.V., Tarlakovskii, D.V. (2019). The Unsteady Contact Interaction Problem of an Absolutely Rigid Body and a Membrane. In: Gdoutos, E. (eds) Proceedings of the Second International Conference on Theoretical, Applied and Experimental Mechanics. ICTAEM 2019. Structural Integrity, vol 8. Springer, Cham. https://doi.org/10.1007/978-3-030-21894-2_53
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DOI: https://doi.org/10.1007/978-3-030-21894-2_53
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