The Free Bending Vibration of Cylindrical Tank Partially Filled with Liquid and Submerged in Water

Zhou Ding

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Zhou Ding. The Free Bending Vibration of Cylindrical Tank Partially Filled with Liquid and Submerged in Water[J]. Applied Mathematics and Mechanics, 1990, 11(5): 439-446.

Citation:

Zhou Ding. The Free Bending Vibration of Cylindrical Tank Partially Filled with Liquid and Submerged in Water[J]. Applied Mathematics and Mechanics, 1990, 11(5): 439-446.

Citation:

Zhou Ding. The Free Bending Vibration of Cylindrical Tank Partially Filled with Liquid and Submerged in Water[J]. Applied Mathematics and Mechanics, 1990, 11(5): 439-446.

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The Free Bending Vibration of Cylindrical Tank Partially Filled with Liquid and Submerged in Water

Zhou Ding

East China Institute of Technology, Nanjing

Received Date: 1988-08-15
Publish Date: 1990-05-15

Abstract

Abstract

This paper studies the free bending vibration of cylindrical tank partially filled with liquid and submerged in water. The depths of liquid and water may be completely arbitrary. The exact calculating formulae of mode shape functions and inherent frequencies are deduced. The results can be gained by means of computer. The analysis shows that the effect of liquid and water on vibration of cylindrical tank is respectively equivalent to a generalized distributive mass attached to the tank.

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References(5)

References

[1]	居荣初、曾心传,《弹性结构与液体的祸联振动理论》,地震出版社(1983).
[2]	郑哲民、马宗魁,悬臂梁丫侧有液体作用时的自主振动,力学学报,3,2(1959).
[3]	张悉德,部分埋入水中悬臂圆柱体的弯曲自由振动,应用数学和力学,3,4(1982),537-546.
[4]	张悉德,部分埋入水中悬臂圆柱体的地震响应,应用数学和力学,4,6(1983),847-852.
[5]	梁昆森,《数学物理方法》,人民教育出版社(1978).