• Title/Summary/Keyword: Non-dimensionalization

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Dynamic Responses of a Rigid-Plastic Cantilever Subject to Impact (충격하중을 받는 외팔보의 동적 강소성 응답)

  • H.W. Choi;J.G. Shin
    • Journal of the Society of Naval Architects of Korea
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    • v.35 no.1
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    • pp.72-79
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    • 1998
  • Static deformation theory of elastoplastic structures can be applied only if the magnitude of loading is less than the plastic collapse force $F_c$. However, with impact or explosive blast loading, the structure can be subjected to an intense but short-duration force pulse that exceeds the plastic collapse force and initiates structural collapse. In this paper, the dynamic response of a rigid-perfectly plastic cantilever subject to intense impact loading is examined in terms of the plastic collapse force. When a step loading is applied, the motion of the beam is calculated and analyzed through the non-dimensionalization of variables. It is concluded that the motion of a beam can be characterized as a function of the nondimensionalized force parameter, $f{\equiv}F/F_c$, where $F_c$ represents the critical force for plastic collapse. This result is used to the analysis of the beam motion subject to rectangular force pulse.

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