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. |
[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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