• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Composite Structures >Thermo-elastic analysis of multilayered plates and shells based on 1D and 3D heat conduction problems
【24h】

Thermo-elastic analysis of multilayered plates and shells based on 1D and 3D heat conduction problems

机译：基于一维和三维热传导问题的多层板壳的热弹性分析

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The present work shows a generic 3D exact shell solution for the thermo-mechanical analysis of a heterogeneous group of one- and multi-layered isotropic, composite and sandwich structures. Plates, cylinders, cylindrical and spherical shells can be investigated using orthogonal mixed curvilinear coordinates. The 3D equilibrium equations for spherical shells automatically degenerate in those for simpler geometries. The elastic part of the proposed 3D model is based on a consolidated layer-wise exact solution which uses the exponential matrix method to solve the equilibrium differential equations through the thickness direction. The closed-form solution is obtained assuming simply-supported boundary conditions and harmonic forms for displacement and temperature fields. The temperature amplitudes are imposed at the top and bottom external surfaces in steady-state conditions. Therefore, the temperature profile can be evaluated through the thickness direction in three different ways: - calculation of the temperature profile via the steady-state 3D Fourier heat conduction equation; evaluation of the temperature profile using the steady-state simplified 1D version of the Fourier heat conduction equation; - a priori assumed linear temperature profile through the entire thickness direction ranging from the bottom temperature value to the top temperature value. Once the temperature profile is defined at each thickness coordinate, it is considered as a known term in the 3D differential equilibrium equations. The obtained system consists in a set of non-homogeneous second order differential equilibrium equations which can be solved introducing appropriate mathematical layers. After a reduction to a first order differential equation system, the exponential matrix method is used to calculate both the general and the particular solutions. The effects of the temperature field on the static response of plates and shells are evaluated in terms of displacements and stresses. The proposed solution will be validated using reference results available in the literature. Then, new analyses will be presented for different thickness ratios, geometries, lamination schemes, materials and temperature values at the external surfaces. Results will demonstrate the importance in the 3D shell model of both the correct definition of the elastic part and the appropriate evaluation of the temperature profile through the thickness of the structure.
机译：本工作显示了一种通用的3D精确壳解决方案，用于对一类和多层各向同性，复合材料和三明治结构的异质组进行热机械分析。可以使用正交混合曲线坐标来研究板，圆柱，圆柱和球形壳体。球形壳的3D平衡方程会自动退化，以简化几何形状。所提出的3D模型的弹性部分基于合并的逐层精确解决方案，该解决方案使用指数矩阵方法在厚度方向上求解平衡微分方程。在假设简单支持的边界条件以及位移和温度场的谐波形式的情况下获得封闭形式的解。在稳态条件下，温度振幅会施加在顶部和底部外表面上。因此，可以通过三种不同的方式通过厚度方向评估温度分布：-通过稳态3D傅立叶热传导方程计算温度分布；使用傅里叶热传导方程的稳态简化一维版本评估温度曲线； -从底部温度值到顶部温度值的整个厚度方向的先验假定线性温度曲线。一旦在每个厚度坐标处定义了温度曲线，就将其视为3D微分平衡方程式中的已知项。所获得的系统由一组非齐次的二阶微分平衡方程组成，可以引入适当的数学层进行求解。简化为一阶微分方程组后，使用指数矩阵方法来计算一般解和特定解。根据位移和应力评估了温度场对板和壳的静态响应的影响。建议的解决方案将使用文献中提供的参考结果进行验证。然后，将对外表面的不同厚度比，几何形状，层压方案，材料和温度值进行新的分析。结果将证明在3D壳体模型中，正确定义弹性零件以及通过结构厚度对温度分布进行适当评估的重要性。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号