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首页> 外文期刊>European Journal of Mechanics. A, Solids >Dynamics of shallow elastic arches Part Ⅰ: Chaotic response of harmonically shaped arches
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Dynamics of shallow elastic arches Part Ⅰ: Chaotic response of harmonically shaped arches

机译：浅弹性拱的动力学第一部分：谐谐拱的混沌响应

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摘要

In this first part of the paper, by using the theory of Holmes and Marsden, the chaotic analysis of harmonically shaped shallow elastic arches is performed in infinite dimension. By using such a theory, no reduction procedure is required and the analysis is particularly eloquent. All the hypotheses involved in the theory are discussed from a theoretical as well as from a practical point of view. The chaotic response of the system, which is a consequence of the transverse intersection of one dimension unstable manifold with the infinite dimensional stable manifold, is described by the chaotic diagrams furnished by the theory. They are shown, and emphasis is placed in some typical phenomena such as left, full and right chaos. Some observations which may be useful to the structural designer are reported and the relation between the present analysis and some other approximate analyses are examined. The theoretical predictions are compared with some numerical results.
机译：在本文的第一部分中，利用Holmes和Marsden的理论，在无限维中对谐调形状的浅弹性拱进行了混沌分析。通过使用这样的理论，不需要还原程序，并且分析特别有说服力。从理论以及实践的角度讨论了理论中涉及的所有假设。该理论的混沌图描述了系统的混沌响应，该响应是一维不稳定歧管与无限维稳定歧管的横向相交的结果。它们被显示，并且重点放在一些典型的现象上，例如左，全和右混沌。报告了一些可能对结构设计者有用的观察结果，并检查了本分析与其他一些近似分析之间的关系。将理论预测与一些数值结果进行比较。

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  • 来源
    《European Journal of Mechanics. A, Solids》 |1996年第3期|p.513-528|共16页
  • 作者

    S. LENCI; A. M. TARANTINO;

  • 作者单位

    Istituto di Scienza e Tecnica delle Costruzioni, University of Ancona, via Brecce Blanche, Monte D'Ago, 60131, Ancona, Italy;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 固体力学;
  • 关键词

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