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用拉普拉斯有限元法求解层合板瞬态温度场
引用本文:王培荣.用拉普拉斯有限元法求解层合板瞬态温度场[J].中国矿业大学学报,1998,27(4):445-447.
作者姓名:王培荣
作者单位:中国矿业大学应用数学力学系
摘    要:以有限元法为基础,利用拉普拉斯变换,把时间域上的问题转化为拉普拉斯域上的问题,提出了求解复合材料层合板瞬态温度场的拉普拉斯有限元法;该方法在拉普拉斯域内建立和求解有限元方程,得到该问题在拉普拉斯域上的解;再将其解数值逆变换,得到时间域的数值解答.算例说明该方法是成功的.

关 键 词:拉普拉斯变换,拉普拉斯有限元法,瞬态温度场,复合材料层合板

Solving Problem of Laminates Transient Temperature by Laplace Transform Finite Element Method
Wang Peirong.Solving Problem of Laminates Transient Temperature by Laplace Transform Finite Element Method[J].Journal of China University of Mining & Technology,1998,27(4):445-447.
Authors:Wang Peirong
Abstract:Based on FEM the problem in time domain is transformed into a problem in Laplace domain by Laplace transform. A Laplace transform finite element method solving transient temperature field of composite laminates is proposed. The method formulate and solve finite element equations in the Laplace donaim and then by the inverse Laplace transform in numerical form the solutions in the time domain are obtained. Examples show that the method is successful.
Keywords:Laplace transform  Laplace transform finite element method  transient temperature    composite laminates  
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