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Loading and structural response models for transverse deflection of circular plates subjected to near field explosions.

机译：承受近场爆炸的圆形板横向挠曲的载荷和结构响应模型。

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摘要

This dissertation develops loading and structural response models to estimate the elastic deformation of a circular plate due to near field explosions. The loading model generates the nonuniform loading characteristic of a near field explosion on a circular plate. This loading model is unique as it uses the TNT equivalence factors for pressure and impulse separately when deriving the pressure profile. Most loading models either average the two factors together or use only one of them.;An analytical model and two finite element models were developed to capture the response of the circular plate due to this nonuniform loading. The analytical model utilizes the von Karman thin plate equations with a new assumed deformation profile developed in this dissertation. The typical deformation profile for a circular plate uses two constants to satisfy the boundary conditions. By adding torsional springs to the boundary of the plate and equating the springs' moment to the plate's internal moment, as well as carrying through with the von Karman model, a new assumed profile is derived which has one parameter representing the boundary. This allows for a sensitivity analysis to be performed on the boundary condition parameter. In addition, this parameter has physical meaning, as it represents the stiffness of the torsional springs.;The two finite element models were created using ANSYS Workbench. One is a simplified model with a constant thickness, circular plate geometry while the other has the actual geometry of the plate used in the experiments. The finite element models were created in a way to allow for the spatial and time dependent pressure loadings to be applied to the proper surface.;Four experimental deformation data sets were provided by the U.S. Department of Homeland Security via the Transportation Security Laboratory. Each data set was compared to the analytical model and the two finite element models. The plate center deflection for the three structural models was found to be in good agreement with the experimental data. The results show that the loading becomes less accurate at very small scaled distances.;Using the analytical model, the sensitivity of the maximum plate center deflection to parameter changes was estimated. The maximum deflection was found to be most sensitive to plate thickness. In addition, the sensitivity of maximum deflection to parameter uncertainties was calculated for the loading parameters. Depending upon the loading configuration, the greatest sensitivity to maximum deflection was found to depend on the uncertainty of a different parameter. This can be attributed to the highly nonlinear nature of this model.
机译：本文建立了载荷和结构响应模型，以估计圆板由于近场爆炸而产生的弹性变形。加载模型生成圆形板上近场爆炸的非均匀加载特性。该载荷模型是独特的，因为在推导压力曲线时，它分别使用TNT等效因数用于压力和脉冲。大多数载荷模型要么将两个因素求平均，要么仅使用其中一个。开发了一个解析模型和两个有限元模型来捕获由于这种非均匀载荷而引起的圆形板的响应。该分析模型利用了von Karman薄板方程，并建立了新的假设变形轮廓。圆形板的典型变形轮廓使用两个常数来满足边界条件。通过将扭转弹簧添加到板的边界并将弹簧的弯矩等同于板的内部弯矩，并通过von Karman模型进行推导，得出了一个新的假定轮廓，该轮廓具有一个代表边界的参数。这允许对边界条件参数执行灵敏度分析。此外，此参数还具有物理意义，因为它代表了扭转弹簧的刚度。;两个有限元模型是使用ANSYS Workbench创建的。一种是具有恒定厚度，圆形板几何形状的简化模型，而另一种具有实验中使用的板的实际几何形状。创建有限元模型的方式是允许将依赖于空间和时间的压力载荷施加到适当的表面上;美国国土安全部通过运输安全实验室提供了四个实验变形数据集。将每个数据集与分析模型和两个有限元模型进行比较。发现这三种结构模型的板中心挠度与实验数据非常吻合。结果表明，在极小的比例距离上，载荷变得不那么精确。；使用解析模型，估计了最大板中心挠度对参数变化的敏感性。发现最大挠度对板厚最敏感。另外，对于载荷参数，计算了最大挠度对参数不确定性的敏感性。取决于载荷配置，发现对最大挠度的最大敏感性取决于不同参数的不确定性。这可以归因于该模型的高度非线性性质。

著录项

  • 作者

    Borenstein, Elan.;

  • 作者单位

    Rutgers The State University of New Jersey - New Brunswick.;

  • 授予单位 Rutgers The State University of New Jersey - New Brunswick.;
  • 学科 Engineering Mechanical.
  • 学位 Ph.D.
  • 年度 2010
  • 页码 114 p.
  • 总页数 114
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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