上海交通大学学报

上海交通大学学报（自然版）

• 物理学 • 上一篇    下一篇

组合实心圆柱体热传导瞬态分析的状态变量法

盛宏玉1，李和平1，叶建乔2，巫绪涛1
  

  1. (1. 合肥工业大学 土木与水利工程学院, 合肥 230009；2. 利兹大学 土木工程学院, 英国 利兹 LS2 9JT)
  • 收稿日期:2010-08-21 修回日期:1900-01-01 出版日期:2011-02-28 发布日期:2011-02-28

State Variable Method for Transient Heat Conduction Analysis of Composite Sold Cylinder

SHENG Hongyu 1, LI Heping 1，YE Jianqiao 2,WU Xutao 1
  

  1. (1.School of Civil Engineering, Hefei University of Technology，Hefei 230009, China；2. School of Civil Engineering, University of Leeds, Leeds LS2 9JT, UK)
  • Received:2010-08-21 Revised:1900-01-01 Online:2011-02-28 Published:2011-02-28

摘要： 引入状态空间理论，并在时域内应用差分格式，建立了组合实心圆柱体热传导问题的状态方程，对其进行了热传导瞬态分析.为检验该方法的有效性，针对某一给定的初始温度分布给出了精确解答.算例表明，该算法的求解精度较高，对于分析圆柱体的热传导瞬态过程非常有效.同时，该方法还可进一步推广用于叠层圆柱壳的瞬态热应力分析.

关键词: 组合结构, 状态方程, 差分, 热传导, 瞬态分析

Abstract: The state space theory was introduced and a difference scheme in time domain was applied to establish the state equation of solid cylinder for the analysis of transient heat conduction. In order to check the effectiveness of the present approach, an exact solution for a given initial temperature distribution was provided and the results were compared with that of the present method. The numerical results illustrate that the present approach has high solving precision and is very effective for the transient analysis of heat conducting process of cylindrical shell. Furthermore, the present method can be extended to the analysis of transient coupling thermal stress of composite laminated cylindrical shell.

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