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提出一种适用于分析旋转对称多层壳体温度场的壳体单元。此单元假设温度滑厚度方向的变化可以用分段连续的二次函数表示,从而精确地满足内外壁的各类边界条件以及各层间的温度和热流连续条件;温度沿子午线方向的变化采用一般插值函数表示,由此建立的有限元分析表达式在数据准备和计算机运算时间上与现行算法比较有很大程度的节省。实际算例表明结果能精确描述层间连续条件,同时保证了足够的精度。
A kind of shell element which is suitable for analyzing the temperature field of rotational symmetry multi-layer shell is proposed. This unit assumes that the variation of the temperature slip thickness direction can be expressed by a piecewise continuous quadratic function so as to accurately meet the various boundary conditions of the inner and outer walls and the continuous conditions of temperature and heat flow between the layers. The temperature variation along the meridional direction is generally The interpolation function indicates that the finite element analysis expressions established by this method can save a great deal of time compared with the current algorithms in data preparation and computer operation time. The practical examples show that the results accurately describe the continuity between layers while guaranteeing sufficient accuracy.