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An analytical solution for multilayered beams subjected to ends loads

机译：荷载作用下多层梁的解析解

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摘要

An alternative model for multilayered beams undergoing axial, shear and bending loads applied at the beam's ends is developed. It is based on a layer-wise kinematics, which inherently fulfills the equilibrium equations at layer level and the interface continuity conditions. This kinematics is suitably expressed by introducing a set of generalized variables representative of the beam midline displacement field, which become the primary variables of the problem governing equations. As a consequence, the proposed beam model exhibits the computational characteristics of an equivalent single layer model and possesses the accuracy of layer-wise beam theories, as well. Closed form solutions for different beam support and load conditions are given. Validation results are presented for composite laminates and functionally graded beams are investigated to show the potentiality of the presented beam theory.
机译：多层梁的另一种模型是在梁的端部承受轴向，剪切和弯曲载荷。它基于分层运动学，它固有地满足了层级和界面连续性条件下的平衡方程。通过引入一组代表梁中线位移场的广义变量来适当地表示这种运动学，这些变量成为问题控制方程式的主要变量。结果，所提出的梁模型展现了等效单层模型的计算特性，并且还具有逐层梁理论的准确性。给出了针对不同梁支撑和载荷条件的封闭形式解决方案。给出了复合材料层合板的验证结果，并对功能梯度梁进行了研究，以显示所提出梁理论的潜力。

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  • 来源
    《Composite Structures》 |2014年第sepaaocta期|772-781|共10页
  • 作者

    Giuseppe Davi; Alberto Milazzo; Calogero Orlando;

  • 作者单位

    Universita di Palermo, DipartimenCo di Ingegneria Civile Ambientale, Aerospaziale, dei Materiali, 90128 Palermo, Italy;

    Universita di Palermo, DipartimenCo di Ingegneria Civile Ambientale, Aerospaziale, dei Materiali, 90128 Palermo, Italy;

    Universita di Enna Kore, Facolta di Ingegneria e Architettura, 94100 Enna, 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
  • 关键词

    Multilayered composites; Beam theories; Analytical solution;

    机译：多层复合材料;梁理论;分析溶液;

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