THE FREE BENDING VIBRATION OF CYLINDRICAL TANK PARTIALLY FILLED WITH-LIQUID AND SUBMERGED IN WATER

Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (5): 469-477.

THE FREE BENDING VIBRATION OF CYLINDRICAL TANK PARTIALLY FILLED WITH-LIQUID AND SUBMERGED IN WATER

周叮

East China Institute of Technology, Nanjing

收稿日期:1988-08-15 出版日期:1990-05-18 发布日期:1990-05-18

THE FREE BENDING VIBRATION OF CYLINDRICAL TANK PARTIALLY FILLED WITH-LIQUID AND SUBMERGED IN WATER

Zhou Ding

East China Institute of Technology, Nanjing

Received:1988-08-15 Online:1990-05-18 Published:1990-05-18

摘要/Abstract

摘要： 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.

关键词: bubble, boundary integral method, three-dimensional model, fusion

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.

Key words: bubble, boundary integral method, three-dimensional model, fusion

周叮. THE FREE BENDING VIBRATION OF CYLINDRICAL TANK PARTIALLY FILLED WITH-LIQUID AND SUBMERGED IN WATER[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(5): 469-477.

Zhou Ding. THE FREE BENDING VIBRATION OF CYLINDRICAL TANK PARTIALLY FILLED WITH-LIQUID AND SUBMERGED IN WATER[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(5): 469-477.

[1]	N. HUMNEKAR, D. SRINIVASACHARYA. Influence of variable viscosity and double diffusion on the convective stability of a nanofluid flow in an inclined porous channel[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(3): 563-580.
[2]	M. HAMID, M. USMAN, Zhenfu TIAN. Computational analysis for fractional characterization of coupled convection-diffusion equations arising in MHD flows[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(4): 669-692.
[3]	S. P. V. ANANTH, B. N. HANUMAGOWDA, S. V. K. VARMA, C. S. K. RAJU, I. KHAN, P. RANA. Thermo-diffusion impact on immiscible flow characteristics of convectively heated vertical two-layered Baffle saturated porous channels in a suspension of nanoparticles: an analytical study[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(2): 307-324.
[4]	Changsong ZHU, Xueqian FANG, Jinxi LIU. Nonlinear free vibration of piezoelectric semiconductor doubly-curved shells based on nonlinear drift-diffusion model[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(10): 1761-1776.
[5]	M. IMRAN, Z. ABBAS, M. NAVEED. Flow of Eyring-Powell liquid due to oscillatory stretchable curved sheet with modified Fourier and Fick's model[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(10): 1461-1478.
[6]	M. GHASEMI, S. SIVALOGANATHAN. Effect of inertial acoustic cavitation on antibiotic efficacy in biofilms[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(10): 1397-1422.
[7]	M. I. KHAN, F. ALZAHRANI. Transportation of heat through Cattaneo-Christov heat flux model in non-Newtonian fluid subject to internal resistance of particles[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(8): 1157-1166.
[8]	M. H. A. KAMAL, N. A. RAWI, A. ALI, S. SHAFIE. Effects of g-jitter and radiation on three-dimensional double diffusion stagnation point nanofluid flow[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(11): 1707-1722.
[9]	Hui GUAN, Jincheng WANG, Zhijun WEI, Chuijie WU. Numerical analysis of the interaction of 3D compressible bubble clusters[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(8): 1181-1196.
[10]	S. M. ABO-DAHAB, A. M. ABD-ALLA, A. A. KILANY. Effects of rotation and gravity on an electro-magneto-thermoelastic medium with diffusion and voids by using the Lord-Shulman and dual-phase-lag models[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(8): 1135-1154.
[11]	Shuting LU, Chunli ZHANG, Weiqiu CHEN, Jiashi YANG. Two-dimensional equations for thin-films of ionic conductors[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(8): 1071-1088.
[12]	Lin ZHOU, Zhenghong GAO, Yuan GAO. An approach for choosing discretization schemes and grid size based on the convection-diffusion equation[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(6): 877-890.
[13]	Chao XU, Dongyang SHI, Xin LIAO. A new streamline diffusion finite element method for the generalized Oseen problem[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(2): 291-304.
[14]	T. HAYAT, S. AHMAD, M. I. KHAN, A. ALSAEDI. Investigation of generalized Fick's and Fourier's laws in the second-grade fluid flow[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(11): 1617-1630.
[15]	Jun YIN, Xianjun SHAO, Bo LU, Yicheng SONG, Junqian ZHANG. Two-way coupled analysis of lithium diffusion and diffusion induced finite elastoplastic bending of bilayer electrodes in lithium-ion batteries[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(11): 1567-1586.

THE FREE BENDING VIBRATION OF CYLINDRICAL TANK PARTIALLY FILLED WITH-LIQUID AND SUBMERGED IN WATER

THE FREE BENDING VIBRATION OF CYLINDRICAL TANK PARTIALLY FILLED WITH-LIQUID AND SUBMERGED IN WATER

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价