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The extended high-order sandwich panel theory.

机译：扩展的高阶夹心板理论。

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摘要

The contribution of this thesis is an extended high-order sandwich panel theory (EHSAPT) for sandwich beams/wide panels, in which the axial stresses are taken into account as well as the shear and transverse normal stresses in the core, and its validation. The general nonlinear formulation of EHSAPT is given in Chapter 2. Validation of the present theory is made by comparison with elasticity solutions and experimental data. The accuracy of EHSAPT is assessed for the standard class of structural analysis problems which include: static loading, static instability (global buckling and wrinkling), free vibrations, and dynamic loading. In Chapter 3 the static response to a half-sine distributed load applied to the top face sheet of a simply supported sandwich beam/wide panel is solved. Validation is made with elasticity, and Euler-Bernoulli beam, first order shear deformation theory, and HSAPT were also included for comparison. In Chapter 4 the static global buckling critical load is determined for a simply supported sandwich beam/wide panel under edgewise loading. Validation is made with elasticity, and Allen's formula and HSAPT are included for comparison. In Chapter 5 the static wrinkling critical load of a simply supported sandwich beam/wide panel is investigated. Validation includes comparison with elasticity, experimental results reported in literature, and recently acquired experimental results. Results using Hoff-Mautner's wrinkling formula and HSAPT are also shown. In Chapter 6 the free vibrations of a simply supported sandwich beam/wide panel are explored, and the predicted antisymmetric and symmetric natural frequencies are compared to experimental results found in the literature and with elasticity. The last validation of EHSAPT is made for the dynamic response to a half-sine distributed load with an exponential time decay applied to the top face sheet of a simply supported sandwich beam. Results are compared with elasticity. The response from using HSAPT is also shown. Chapter 8 presents results from an impact experiment upon a sandwich panel and comparison with EHSAPT. Finally, Chapter 9 gives overall comments on the future work that can be done with EHSAPT.
机译：本文的贡献是对夹层梁/宽面板的扩展高阶夹心板理论（EHSAPT），其中考虑了轴向应力以及岩心中的剪力和横向法向应力，并对其进行了验证。 EHSAPT的一般非线性公式在第2章中给出。通过与弹性解和实验数据的比较，对本理论进行了验证。针对结构分析问题的标准类别评估了EHSAPT的准确性，这些问题包括：静态载荷，静态不稳定性（整体屈曲和起皱），自由振动和动态载荷。在第3章中，解决了对施加到简单支撑的夹层梁/宽面板的顶面板上的半正弦分布载荷的静态响应。进行了弹性验证，并包括了Euler-Bernoulli梁，一阶剪切变形理论和HSAPT进行比较。在第4章中，确定了在边缘荷载下简单支撑的夹层梁/宽面板的静态整体屈曲临界载荷。通过弹性进行验证，并包含艾伦公式和HSAPT进行比较。在第5章中，研究了简单支撑的夹层梁/宽面板的静态起皱临界载荷。验证包括与弹性的比较，文献中报道的实验结果以及最近获得的实验结果。还显示了使用Hoff-Mautner的起皱公式和HSAPT的结果。在第六章中，研究了简单支撑的夹层梁/宽面板的自由振动，并将预测的反对称和对称固有频率与文献中的实验结果进行了比较，并具有弹性。 EHSAPT的最后验证是针对对半正弦分布负载的动态响应，其中指数时间衰减作用于简单支撑的夹心梁的顶面板。将结果与弹性进行比较。还显示了使用HSAPT的响应。第8章介绍了在夹心板上进行冲击试验并与EHSAPT进行比较的结果。最后，第9章对EHSAPT可以完成的未来工作进行了总体评论。

著录项

  • 作者

    Phan, Catherine N.;

  • 作者单位

    Georgia Institute of Technology.;

  • 授予单位 Georgia Institute of Technology.;
  • 学科 Engineering Aerospace.;Engineering Mechanical.;Engineering Civil.
  • 学位 Ph.D.
  • 年度 2012
  • 页码 144 p.
  • 总页数 144
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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