王亚楠, 赵建宁, 张家雷, 刘冬欢. 基于高阶热层合理论的复合材料板壳结构瞬态热分析[J]. 工程力学. DOI: 10.6052/j.issn.1000-4750.2022.11.0991
引用本文: 王亚楠, 赵建宁, 张家雷, 刘冬欢. 基于高阶热层合理论的复合材料板壳结构瞬态热分析[J]. 工程力学. DOI: 10.6052/j.issn.1000-4750.2022.11.0991
WANG Ya-nan, ZHAO Jian-ning, ZHANG Jia-lei, LIU Dong-huan. TRANSIENT THERMAL ANALYSIS OF COMPOSITE PLATE AND SHELL STRUCTURES UPON HIGH-ORDER THERMAL LAMINATION THEORY[J]. Engineering Mechanics. DOI: 10.6052/j.issn.1000-4750.2022.11.0991
Citation: WANG Ya-nan, ZHAO Jian-ning, ZHANG Jia-lei, LIU Dong-huan. TRANSIENT THERMAL ANALYSIS OF COMPOSITE PLATE AND SHELL STRUCTURES UPON HIGH-ORDER THERMAL LAMINATION THEORY[J]. Engineering Mechanics. DOI: 10.6052/j.issn.1000-4750.2022.11.0991

基于高阶热层合理论的复合材料板壳结构瞬态热分析

TRANSIENT THERMAL ANALYSIS OF COMPOSITE PLATE AND SHELL STRUCTURES UPON HIGH-ORDER THERMAL LAMINATION THEORY

  • 摘要: 基于高阶热层合理论建立了复合材料板壳结构瞬态热分析的有限元方法,该格式将多个物理铺层简化为一个计算层,并在各计算层的界面上应用温度连续性条件。在板壳结构中面内对温度场采用二次插值函数,同时假设板壳厚度方向上的温度随计算层厚度坐标高阶变化,从而大大提高了层合复合材料板壳结构热分析的计算效率。该文应用此方法对受集中热流作用下的复合材料柱壳及平板进行了算例研究,通过和商用软件结果的对比验证了该文方法在柱壳的瞬态温度场及平板厚度方向上温度分布的计算精度及计算效率。数值结果表明,基于该文高阶热层合理论的复合材料结构瞬态热分析方法不仅可以高精度模拟结构面内及厚度方向上的温度变化,同时,由于在板壳结构厚度方向上大大减少了节点数量,因此,极大地提高了热分析的计算效率。该方法可进一步用于非傅里叶传热等温度随时间空间急剧变化的极端工况下的瞬态热分析。

     

    Abstract: The finite element method for transient thermal analysis of composite structure with high-order thermal lamination theory is proposed, and several physical layers of the composite structure is simplified to a single computational layer with temperature continuity condition at the interface of different computational layers. The temperature field in the mid-surface of shell structures are approximated with quadratic interpolation function and assumed that temperature varies in a high-order manner in the thickness direction, so as to improve the computational efficiency of the thermal analysis of laminated composite structures. Compared with numerical results obtained by commercial finite element software, the method proposed is verified by examples of composite structures subjected to concentrated heat flux with both transient temperature field of the cylindrical shell and temperature distribution in thickness direction of plate. Numerical results show that the present transient thermal analysis method for composite structure with high-order thermal lamination theory can accurately simulate the temperature variations both in the plane and in the thickness direction to improve the computational efficiency of thermal analysis as the total number of finite element nodes greatly reduced in the thickness direction. The numerical method proposed could be applied to non-Fourier transient thermal analysis and other extreme practical conditions where temperature varies sharply with both time and space simultaneously.

     

/

返回文章
返回