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.
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.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2011年第2期247-251,共5页
Journal of Shanghai Jiaotong University
基金
安徽省自然科学基金资助项目(070414190)
关键词
组合结构
状态方程
差分
热传导
瞬态分析
composite structure
state equation
difference
heat conduction
transient analysis
