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Elasticity solutions of simply supported laminated cylindrical arches subjected to thermo-loads

机译：承受热载荷的简支叠层圆柱拱的弹性解

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摘要

According to the exact thermo-elasticity theory, the elasticity solution of the simply supported laminated arches subjected to thermo-loads was investigated. An analytical method was present to solve the stress and displacement fields in the arches. Firstly, the general solutions of temperature, displacement and stress fields in single-layered simply supported arch were obtained by solving the heat conduction equation and the elasticity equations in the polar coordinates system, respectively. Then, the temperature, displacements and stresses between the outer surface and the inner surface of the arched layer were derived. Based on the continuity of temperature, heat flux, displacements and stresses on the interface of two adjacent layers, the relationships of temperature, displacement and stress between the outermost surface and the innermost surface of the laminated arch were recursively generated by using the transfer matrix method. The unknown coefficients in the solutions were uniquely determined by the use of the outermost surface and the innermost surface conditions of the arch. The distributions of temperature, displacements and stresses in the arch were got by substituting the unknown coefficients back to the recurrence formulae and the solutions for every layer. The convergence of the solutions was checked with respect to the number of the terms of series. Comparing the results with those obtained from the finite element method, the correctness of the present method was verified. Finally, the effects of surface conditions, arch thickness, layer number and material properties on the distributions of temperature, displacements and stresses in the arch were discussed in detail. (C) 2015 Elsevier Ltd. All rights reserved.
机译：根据精确的热弹性理论，研究了承受热载荷的简支叠层拱的弹性解。提出了一种解析方法来解决拱中的应力和位移场。首先，通过求解极坐标系中的热传导方程和弹性方程，分别得到单层简支拱的温度，位移和应力场的一般解。然后，得出拱形层的外表面和内表面之间的温度，位移和应力。基于温度，热通量，相邻两层界面的位移和应力的连续性，采用传递矩阵法递归生成层合拱的最外表面和最内表面之间的温度，位移和应力之间的关系。 。解决方案中的未知系数是通过使用拱的最外表面和最内表面条件唯一确定的。通过将未知系数代入递归公式和每一层的解，可以得出拱中温度，位移和应力的分布。关于序列项的数量，检查了解的收敛性。将结果与从有限元方法获得的结果进行比较，验证了本方法的正确性。最后，详细讨论了表面条件，拱形厚度，层数和材料性能对拱形中温度分布，位移和应力的影响。 （C）2015 Elsevier Ltd.保留所有权利。

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  • 来源
    《Composite Structures》 |2015年第11期|273-281|共9页
  • 作者

    Qian Hai; Zhou Ding; Liu Weiqing; Fang Hai; Lu Weidong;

  • 作者单位

    Nanjing Tech Univ, Coll Civil Engn, Nanjing 211816, Jiangsu, Peoples R China;

    Nanjing Tech Univ, Coll Civil Engn, Nanjing 211816, Jiangsu, Peoples R China;

    Nanjing Tech Univ, Coll Civil Engn, Nanjing 211816, Jiangsu, Peoples R China;

    Nanjing Tech Univ, Coll Civil Engn, Nanjing 211816, Jiangsu, Peoples R China;

    Nanjing Tech Univ, Coll Civil Engn, Nanjing 211816, Jiangsu, Peoples R China;

  • 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

    Layered arch; Temperature; Stress; Transfer matrix; Elasticity solution;

    机译：层状拱;温度;应力;传递矩阵;弹性解;

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