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目的利用有限元法研究武器身管瞬态热传导问题.方法根据均匀正交各向异性材料轴对称热传导方程及其边界条件,利用变分法及欧拉理论,选取6节点的高精度三角形单元类型,推导了一般轴对称非定常热传导有限元基本方程.并编制了相应的计算程序.结果通过算例分析,从而证实了本套理论及设计程序的正确性及可行性.并就某身管瞬态热传导问题进行了有限元计算.结论该理论及方法对解决一般轴对称非定常热传导问题具有普遍意义.
OBJECTIVE To study the transient heat conduction of weapon barrel with finite element method. Methods According to the axisymmetric heat conduction equation and its boundary conditions for homogeneous orthotropic materials, the variational method and the Eulerian theory were used to select the 6-point high-precision triangular element types. The general governing equations of the unsymmetrical axial heat conduction were deduced. And compiled the corresponding calculation program. The results of an example analysis, thus confirming the correctness and feasibility of this set of theory and design procedures. The finite element method was used to calculate the transient heat conduction of a tube. Conclusion The theory and method have universal significance to solve the general axisymmetric unsteady heat conduction problem.