[1]佘颖禾.轴对称体非轴对称稳态温度场的离散计算法[J].东南大学学报(自然科学版),1982,12(1):12-22.[doi:10.3969/j.issn.1001-0505.1982.01.002]
 Sheh Ying-ho.A Discrete Solution of Steady-State Thermal Field in Axisymmetric Solid with Arbitrary Physical Conditions[J].Journal of Southeast University (Natural Science Edition),1982,12(1):12-22.[doi:10.3969/j.issn.1001-0505.1982.01.002]
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轴对称体非轴对称稳态温度场的离散计算法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
12
期数:
1982年第1期
页码:
12-22
栏目:
本刊信息
出版日期:
1982-03-20

文章信息/Info

Title:
A Discrete Solution of Steady-State Thermal Field in Axisymmetric Solid with Arbitrary Physical Conditions
作者:
佘颖禾
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Author(s):
Sheh Ying-ho
关键词:
有限元方法 轴对称体 非轴对称 稳态温度场 计算法 轴对称问题 边界条件 单元劲度矩阵 三维问题 半解析
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1982.01.002
摘要:
本文讨论了轴对称固体的非对称温度场的简化计算方法。给出了相应的泛函形式,并采用Ritz变分方法进行离散化的求解。在物体的轴向和径向采用有限元方法来求解,而在周向则采用展开成正交函数的级数的办法来处理。由于采用了这种半解析的方法,使得这类复杂的三维问题得到了简化。并且只需将现有的轴对称问题的计算程序加以桌些修改就可以使用了。可以预期,采用这种方法将大大减少计算时间。
Abstract:
This paper investigates a simplified method for calculating asymmetric thermal fields in axisymmetric solid bodies. A proper functional is derived for this problem and the Ritz method is used as a variational principle for the discrete solution. The problem is solved by the finite element method in the axial and radial directions and by a series of orthogonal functions in the circumferential direction. It is shown that the solution of this kind of sophisticated three-dimensional problems is greatly simplified by using the semi-analytical method presented in this paper. The popular computer progam for axisymmetric problems may be utilized for its calculation with some insignificiant modifications. Therefore, a considerable reduction of computer time is to be expected.

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[1]张承志,潘钢华,孙伟,等.水泥基材孔径和微集料粒径与其抗压强度关系的有限元分析[J].东南大学学报(自然科学版),1998,28(6):173.[doi:10.3969/j.issn.1001-0505.1998.06.034]
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更新日期/Last Update: 2013-05-01