[1]薛祖卫.矩阵理论和插值法在圆拱固有振动中的应用[J].东南大学学报(自然科学版),1981,11(4):124-139.[doi:10.3969/j.issn.1001-0505.1981.04.012]
 Shue Tsu-wei.Application of the Theory of Matrix and Interpolation to the Natural Vibration of the Circular Arches[J].Journal of Southeast University (Natural Science Edition),1981,11(4):124-139.[doi:10.3969/j.issn.1001-0505.1981.04.012]
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矩阵理论和插值法在圆拱固有振动中的应用()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
11
期数:
1981年第4期
页码:
124-139
栏目:
本刊信息
出版日期:
1981-12-20

文章信息/Info

Title:
Application of the Theory of Matrix and Interpolation to the Natural Vibration of the Circular Arches
作者:
薛祖卫
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Author(s):
Shue Tsu-wei
关键词:
圆拱 固有振动频率 抛物线拱 固有频率 荷载矩阵 反对称振动 振动形式 中心角 矢跨比 动力性能
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1981.04.012
摘要:
本文在[11]的基础上进一步研究了圆拱的固有振动。为了提高解的精确度,我们用抛物线插值多项式推导了弹性荷载矩阵。文中列举了一些算例以说明方法的使用;将计算结果列入表格并绘成曲线,可供工程设计应用;并将圆拱和抛物线拱的动力性能作了比较。
Abstract:
On the basis of the author’s previous work, this paper further studies the natural vibration of the circular arches. In order toimprove the accuracy of the solution, we have derived the elastic load matrixes by using parabolic interpolation polynomial. To illustrate the method of solution several numerical examples are presented in this paper. The calculated results, which are applicable to engineering designs, are given in tables and plotted in graphs. Finally, we have compared the dynamic behavior of circular arches with those of parabolic arches.

相似文献/References:

[1]薛祖卫.拱式结构动力计算中的几个重要问题[J].东南大学学报(自然科学版),1982,12(4):33.[doi:10.3969/j.issn.1001-0505.1982.04.004]
 Shue Tsu-wei.Some Important Problems in Dynamic Analysis of Arch Structures[J].Journal of Southeast University (Natural Science Edition),1982,12(4):33.[doi:10.3969/j.issn.1001-0505.1982.04.004]

更新日期/Last Update: 2013-05-01