摘要
在处理热力耦合的问题时,通常不考虑结构变形对温度场的影响,直接把热当成载荷引入到力学方程中求解。在热冲击的条件下,这种处理方式产生的误差很大。文中基于精细积分法的基本原理,参考增维精细积分方法的过程,给出热力耦合方程准静态方法的精细积分计算格式以及考虑变形对于温度场影响的相互耦合的动态耦合精细积分计算格式;并且利用这种方法,计算铝质薄板在强热流作用下的热响应问题。准静态和动态计算结果和参考文献的计算结果一致。耦合效应对于温度场和热动态响应均影响很大,是不能忽略的。文中探讨热力双向耦合方程的新解法,并和参考文献比较,得到很好的结果。
In thermo-mechanical problems, traditional thermal stresses analyses usually consider thermal load as static load or quasi-static load and so the temperature field and the stresses field is uncoupled. When thermal shock is.applied on structures, these analyses can cause large error and even lead to disaster. Based on the precise time-integration method, formulations about thermo-mecbanieal coupled problem in plates were deduced. The heat conduction equations were coupled with the structural deformations by expanding structural deformation into heat conduction equations. The coupled dynamic thermo-mechanical equations are gotten by finite element method. The non-homogeneous vector is viewed as the variables of the equations and the original equations are converted into homogeneous equations by using the dimensional expanding. The quasi-static equations also are treated in the same way. This new algorithm not only benefits to the programming implementation and the numerical stability, but also is more efficient to large-scale problem. The thermal dynamic responses of plates that huge heat flux is applied on its boundary are analyzed. The results of numerical examples agree well with the results of references.
出处
《机械强度》
EI
CAS
CSCD
北大核心
2007年第3期483-486,共4页
Journal of Mechanical Strength
基金
国家自然科学基金(10477018)
西北工业大学青年教师创新基金(0100-M016202)~~
关键词
热冲击
精细积分法
热力耦合
动态响应
Thermal shock
Precise time-integration
Thermo-mechanically coupled
Dynamic response
