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Transient response of a square plate from an expanding footprint

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Abstract

The transient response of a free disk on crushable material striking a rigid surface was analyzed by El-Raheb (IJSS 45, 4289–4306, 2008). Unlike the free disk whose fundamental mode has a dish-like axisymmetric shape, the free square plate includes two additional modes at lower frequencies. Treated is the response of the square plate to a moving front either parallel to a diagonal or to an edge, simulating two limiting cases of oblique impact of the plate on crushable material. Emphasis is given to the difference between the two fronts and comparison to the case of the disk.

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  1. NASA Langley, 1000 Oakforest Lane, Pasadena, CA, 91107, USA

    Michael El-Raheb

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  1. Michael El-Raheb
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Correspondence to Michael El-Raheb.

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El-Raheb, M. Transient response of a square plate from an expanding footprint. Acta Mech 214, 375–394 (2010). https://doi.org/10.1007/s00707-010-0297-6

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  • DOI: https://doi.org/10.1007/s00707-010-0297-6

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