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Blast loads and nonlinear vibrations of laminated glass plates in an enhanced shear deformation theory

机译:增强剪切变形理论中夹层玻璃板的爆破载荷和非线性振动

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摘要

The nonlinear dynamic response of a laminated glass plate under the pressure generated by a blast wave, described via the Friedlander's model, is investigated. In order to account for the heterogeneity of the laminated package, composed by two glass plies sandwiching a thin and soft polymeric interlayer, a geometrically nonlinear, third-order shear deformation theory with rotary inertia is used. Within the quasi-elastic approximation, the constitutive response of the polymer is described by its secant elastic moduli for short-term loading at room temperature, while the dissipation associated with its viscosity is taken into account through an equivalent effective damping. The problem is discretized by a reduced-order model retaining 40 degrees of freedom and the first four vibration modes, which are the ones receiving most of the energy from the blast. A geometrically nonlinear damping model is introduced to simulate the increase in damping associated with large-amplitude oscillations of the plate, which results from the interaction between the large deflections of the glass plies and the viscosity of the interlayer. Forced nonlinear vibrations around the frequency of the fundamental mode are also investigated, to complete the study of the nonlinear dynamics. The results highlight the importance of the nonlinear effects of damping, which can almost halve the deformations and stresses in laminated glass with respect the linear case at high levels of excitation, while still remaining within the limits of material strengths.
机译:研究了通过弗里德兰德模型所描述的隆波产生的压力下叠层玻璃板的非线性动力响应。为了考虑层叠包装的异质性,使用夹在薄型和软聚合物中间层的两个玻璃层,使用具有旋转惯性的几何非线性,几何非线性,三阶剪切变形理论。在准弹性近似内,聚合物的组成型响应由其在室温下的短期负载的其线弹性模量来描述,同时通过等同的有效阻尼考虑与其粘度相关的耗散。通过挡住40度的自由度和前四个振动模式的阶数模型离散,这是接收来自爆炸的大部分能量的模型。引入了几何非线性阻尼模型以模拟与板的大幅度振荡相关的阻尼增加,这是由玻璃层的大偏转与中间层的粘度之间的相互作用导致。还研究了围绕基本模式的频率的强制非线性振动,以完成非线性动力学的研究。结果突出了阻尼的非线性效应的重要性,这几乎可以在高水平的激发下施加线性壳体中的叠层玻璃中的变形和应力,同时仍然存在于材料强度的限制范围内。

著录项

  • 来源
    《Composite Structures》 |2020年第11期|112720.1-112720.11|共11页
  • 作者单位

    McGill Univ Dept Mech Engn Macdonald Engn Bldg 817 Sherbrooke St West Montreal PQ H3A 0C3 Canada|Univ Parma Dept Engn & Architecture Viale Sci 181-A Parma Italy;

    McGill Univ Dept Mech Engn Macdonald Engn Bldg 817 Sherbrooke St West Montreal PQ H3A 0C3 Canada;

    Univ Parma Dept Engn & Architecture Viale Sci 181-A Parma Italy;

    Univ Parma Dept Engn & Architecture Viale Sci 181-A Parma Italy|Italian Natl Res Council ITC CNR Construct Technol Inst Via Lombardia 49 I-20098 San Giuliano Milanese MI 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

    Laminated glass; Blast load; Shear deformation; Nonlinear damping; Nonlinear vibrations;

    机译:夹层玻璃;爆破载荷;剪切变形;非线性阻尼;非线性振动;

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