部分潜入水中椭圆柱体振动分析*
Vibration Analysis of Elliptical Column Partially Submerged in Water
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摘要: 本文在文献[1]的基础上,提出一种研究部分潜入水中椭圆柱体弯曲振动的解析法,并指出文献[2]的不足之处.作为特例,本文计算了考虑水体可压缩影响时的水中圆柱体的自振频率,给出了可压缩性影响范围.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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[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). -
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