有限元二维功能梯度热传导研究,基于分离变量法,推导出2D-FGM板的稳态温度场的级数解析解;基于加权余量法推导出2D-FGM板的稳态温度场的有限元法基本方程;通过MATLAB软件编写了稳态温度场有限元计算程序,通过数值计算,得到研究模型的温度场分布规律;将有限元解与解析解的结果比较,再将通过ANSYS建模计算结果与有限元数值解进行比较,充分说明了本文研究方法的正确性;通过对数值计算结果进行分析,研究了热导率变化对温度场分布的影响、温度在板内的分布状态和边界条件对温度场的影响。上述结果为该板的进一步的热应力分析和工程应用提供了理论依据,并可作为检验其他近似方法的参考标准。
☆25Nov 30, 2017Updated 8 years ago
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