Vibration Analysis of Elliptical Column Partially Submerged in Water

Zhu Yong-yi; Weng Zhi-yuan; Wu Jia-long

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Article Navigation > Applied Mathematics and Mechanics > 1988 > 9(4): 305-316

Zhu Yong-yi, Weng Zhi-yuan, Wu Jia-long. Vibration Analysis of Elliptical Column Partially Submerged in Water[J]. Applied Mathematics and Mechanics, 1988, 9(4): 305-316.

Citation:

Zhu Yong-yi, Weng Zhi-yuan, Wu Jia-long. Vibration Analysis of Elliptical Column Partially Submerged in Water[J]. Applied Mathematics and Mechanics, 1988, 9(4): 305-316.

Citation:

Zhu Yong-yi, Weng Zhi-yuan, Wu Jia-long. Vibration Analysis of Elliptical Column Partially Submerged in Water[J]. Applied Mathematics and Mechanics, 1988, 9(4): 305-316.

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Vibration Analysis of Elliptical Column Partially Submerged in Water

Tongji University, Shanghai

Received Date: 1987-02-08
Publish Date: 1988-04-15

Abstract

Abstract

In this paper, a general analytical method based on Ref. [1] is presented to study the bending vibration of an elliptical column partially submerged in water. Besides, it is pointed out that there is a limitation to the method mentioned in Ref. [2], As a special example, the natural frequencies of circular column submerged in water considering compressibility are calculated, and the extent of compressible effect is given.

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References(8)

References

[1]	Kotsubo.Seima,Seismic force effect on submerged bridge piers with elliptic cross sections,Proceedings of the Third World Conference Earthquake Engineering,Vol.Ⅱ (1965).
[2]	张悉德等,部分埋人水中椭圆柱体弯曲自由振动,应用数学和力学,7,9 (1986),813-820.
[3]	Williams,A.N.,Wave forces on an elliptic cylinder,Journal of WPCOE,ASCE,111,2 (1985).
[4]	Ишков П.К.,Определение частот колебаний упругих стержней в жидкостн Прцклабиал Мамемамцка ц Механцка,3-4,1(1937-1938)
[5]	樱井彰雄,水中に立うわる柱状构造物の振动,土木技术,16,6(1961).
[6]	徐汉忠,水中悬臂梁的自振频率的简便计算公式,河海大学学报,14,4 (1986).
[7]	朱永谊、翁智远、昊家龙,部分潜入水中圆柱壳的振动分析,同济大学学报,4 (1987).
[8]	Miller.K.S.,Partial Differential Equation in Engineering Problem,Prentice-Hall,Book Co.INC.(1953).