Zhang Xi-de, Zhang Wen. Free Bending Vibration of Elliptical Column Partially Submerged in Water[J]. Applied Mathematics and Mechanics, 1986, 7(9): 813-820.
Citation: Zhang Xi-de, Zhang Wen. Free Bending Vibration of Elliptical Column Partially Submerged in Water[J]. Applied Mathematics and Mechanics, 1986, 7(9): 813-820.

Free Bending Vibration of Elliptical Column Partially Submerged in Water

  • Received Date: 1985-08-03
  • Publish Date: 1986-09-15
  • This paper studies the free bending vibration of elliptical column partialy submerged in water.It is the first time that we get an exact solution of the function of normal mode of vibretion of column-water couple system and a corresponding frequency equation denoted by limited order determinant.It points out that the effect of water is equivalent to an attached distributive mass.Therefore,the frequency with water is lower than that without water.
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  • [1]
    Ишков П.К.,Определение частот колебаний упругих стержней в жидкости,Прцклабная Мамемамцка ц Механцка,3-4,1(1937-1938).
    [2]
    Jacobsen,L.S.,Impulsive hydrodynamic of fluid a cylindrical tank and of a fluid surrounding a cylindrical peir,BSSA,39,3(1949).
    [3]
    Housner,G.W.,Dynamic pressures on accelerated fluid containers,BSSA,147,1(1957).
    [4]
    郑哲民、马宗魁,悬臂梁一侧有液体作用时的自由振动,力学学报,3,2(1959).
    [5]
    樱井彰雄,水中に立られる扎乙柱状构造物の振动,士木技术,16,6(1961),
    [6]
    居荣初等,水中圆柱体结构的自由振动,地震工程研究报告集,第1集(1962),
    [7]
    项中权、由敬舜、张悉德,圆形给水排水结构物的动力特性和抗地震分析,地震工程研究报告集,第4集(1981)
    [8]
    张悉德,邓分埋人水中昌臂圆杜体的弯曲自山振动,应用数学和力学,3,4(1982),537-546.
    [9]
    Miller,K.S.Partial,Differential Equations in Engineering Problems,prentice-hall.Book Co,INC.(1953).
    [10]
    Mclachan,N.W.,Theory and Application of Mathieu Functions,Oxford,Charendon Press,(1947).
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