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FREQUENCY SHIFTS INDUCED BY LARGE DEFORMATIONS IN PLANAR PANTOGRAPHIC CONTINUA

机译:平面地形连续体大变形引起的频率偏移

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摘要

The present article deals with the dynamic behavior of 2D continua representing the homogenized limit of microstructured pantographic systems, i.e., the structures in which two orders of fibers are interconnected by means of pivots. The strain energy density of the continuum model depends on the first and second gradient of the displacement. Numerical simulations on modal analysis are performed and the results are compared with the behavior of an orthotropic lamina of equal mass density. The results show the characteristic features of the dynamic behavior of higher gradient models, and in particular the difference, with respect to classical laminae, in the dependence of the eigenfrequencies on the stiffness.
机译:本文讨论了二维连续体的动态行为,该动态行为代表了微结构化全景成像系统的均质化极限,即通过枢轴将两个数量级的纤维相互连接的结构。连续模型的应变能密度取决于位移的第一和第二梯度。进行了模态分析的数值模拟,并将结果与​​等质量密度的正交各向异性薄层的行为进行了比较。结果显示了较高梯度模型的动力学行为的特征,特别是相对于经典薄片的固有频率与刚度之间的差异。

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  • 作者单位

    International Research Center on Mathematics and Mechanics of Complex Systems (MEMOCS), University of L'Aquila, Italy;

    International Research Center on Mathematics and Mechanics of Complex Systems (MEMOCS), University of L'Aquila, Italy;

    International Research Center on Mathematics and Mechanics of Complex Systems (MEMOCS), University of L'Aquila, Italy,Department of Mechanical and Aerospace Engineering (DIMA), University La Sapienza, Rome, Italy;

    Department of Architecture, Roma Tre University, Rome, Italy;

    International Research Center on Mathematics and Mechanics of Complex Systems (MEMOCS), University of L'Aquila, Italy,Dipartimento di Architettura, Design e Urbanistica, Universita degli Studi di Sassari, Italy;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    modal analysis; frequency shift; second-gradient continua; pantographic sheets;

    机译:模态分析频移次梯度连续全景图;

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