Free Bending Vibration of Circular Column Partially Submerged in Water

Zhang Xi-de

Volume 3 Issue 4

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1982 > 3(4): 537-546

Zhang Xi-de. Free Bending Vibration of Circular Column Partially Submerged in Water[J]. Applied Mathematics and Mechanics, 1982, 3(4): 537-546.

Citation:

Zhang Xi-de. Free Bending Vibration of Circular Column Partially Submerged in Water[J]. Applied Mathematics and Mechanics, 1982, 3(4): 537-546.

Citation:

Zhang Xi-de. Free Bending Vibration of Circular Column Partially Submerged in Water[J]. Applied Mathematics and Mechanics, 1982, 3(4): 537-546.

PDF( 475 KB)

Free Bending Vibration of Circular Column Partially Submerged in Water

Zhang Xi-de

Shandong Institute of Chemical Engineering, Qingdao

Received Date: 1980-12-14
Publish Date: 1982-08-15

Abstract

Abstract

In this paper, the author studied the bending vibration of circular column partially submerged in water.An equation of frequency and an exact solution of corresponding function of viirational modes are given. 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.

FullText(HTML)

References(6)

References

[1]	Ишков,П,К.,Определение частот калебаний Vпругих стержней в жидкости,Прцклабная Мамемамика и Механика вып.1,3-4,(1937-38)
[2]	Jacobsen,L.S.,Impulsive hydrodynamic of fluid inside a cylindrical tank and of a fluid surrounding a cylindrical pier,BSSA,Vol.39,No.3,(1949).
[3]	Housner,G.W.,Dynamic pressures on accelerated fluid containers.BSSA,Vol.47,No.1,(1957).
[4]	郑哲民,马宗魁,悬臂梁一侧有液休作用时的自由振动,力学学报,(1959).
[5]	樱井彰雄.水中に立てられほ柱状构造物の振动.土木技术.16,6,(1961).
[6]	项中权,张悉德等,圆住形水池的抗地震分析,中国科学院工程力学研究所研究报告,(1966)

Relative Articles

[1]	A.M.Abd-Alla, G.A.Yahya. Thermal Stresses in an Infinite Circular Cylinder Subjected to Rotation[J]. Applied Mathematics and Mechanics, 2012, 33(8): 997-1012. doi: 10.3879/j.issn.1000-0887.2012.08.008
[2]	Hasan Nemati, Mousa Farhadi, Kurosh Sedighi, Mohammad Mohammadi Pirouz, Nima Niksefat Abatari. Convective Heat Transfer From Two Rotating Circular Cylinders in Tandem Arrangement Using Lattice Boltzmann Method[J]. Applied Mathematics and Mechanics, 2012, 33(4): 406-424. doi: 10.3879/j.issn.1000-0887.2012.04.003
[3]	Mehdi Nikkhah, Farhang Honarvar, Ehsan Dehghan. Elastodynamic Solution for Plane-Strain Response of Functionally Graded Thick Hollow Cylinders by Analytical Method[J]. Applied Mathematics and Mechanics, 2011, 32(2): 180-193. doi: 10.3879/j.issn.1000-0887.2011.02.006
[4]	A. M. Zenkour. Stresses in a Rotating Heterogeneous Viscoelastic Composite Cylinder With Variable Thickness[J]. Applied Mathematics and Mechanics, 2011, 32(4): 483-496. doi: 10.3879/j.issn.1000-0887.2011.04.010
[5]	J. C. Song. Asymptotic and Other Estimates for a Semilinear Parabolic Problem in a Semi-Infinite Cylinder[J]. Applied Mathematics and Mechanics, 2011, 32(10): 1241-1246. doi: 10.3879/j.issn.1000-0887.2011.10.009
[6]	P. Loganthan, M. Kannan, P. Ganesan. MHD Effects on Free Convective Flow Over Moving Semi-Infinite Vertical Cylinder With Temperature Oscillation[J]. Applied Mathematics and Mechanics, 2011, 32(11): 1274-1282. doi: 10.3879/j.issn.1000-0887.2011.11.002
[7]	ZHONG Wei-zhou, SONG Shun-cheng, CHEN Gang, HUANG Xi-cheng, HUANG Peng. Stress Field of Orthotropic Cylinder Subjected to Axial Compression[J]. Applied Mathematics and Mechanics, 2010, 31(3): 285-294. doi: 10.3879/j.issn.1000-0887.2010.03.004
[8]	PAN Tian-wei, WANG Yin-bang. Fracture Analysis for Torsion Problems of a Composite Cylinder With Curvilinear Cracks[J]. Applied Mathematics and Mechanics, 2008, 29(8): 911-917.
[9]	A. M. Zenkour, K. A. Elsibai, D. S. Mashat. Elastic and Viscoelastic Solutions for Rotating Functionally Graded Hollow and Solid Cylinders[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1457-1471.
[10]	NING Jian-guo, SONG Wei-dong. Perforation of Plastic Spherical Shells Under Impact by Cylindrical Projectiles[J]. Applied Mathematics and Mechanics, 2006, 27(2): 211-216.
[11]	Li Yu-lan, Ma Zhi-qing, Tang Ren-ji. The Solution of Integral Equations with Strongly Singular Kernels Applied to the Torsion of Cracked Circular Cylinder[J]. Applied Mathematics and Mechanics, 1993, 14(10): 853-859.
[12]	Hou Yu, He Fu-bao. An Elasticity Solution for Axisymmetric Problem of Finite Circular Cylinder[J]. Applied Mathematics and Mechanics, 1991, 12(10): 903-912.
[13]	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.
[14]	Yin Chang-yan. Torsion of Circular Cylinders Containing n Circular Holes[J]. Applied Mathematics and Mechanics, 1989, 10(6): 539-546.
[15]	Wang Xiao-chun, Tang Ren-ji. On the Torsion of a Cylinder with Several Cracks[J]. Applied Mathematics and Mechanics, 1988, 9(8): 693-702.
[16]	Zhu Yong-yi, Weng Zhi-yuan, Wu Jia-long. Vibration Analysis of Elliptical Column Partially Submerged in Water[J]. Applied Mathematics and Mechanics, 1988, 9(4): 305-316.
[17]	Cheng Xiang-sheng. The Bending, Stability and Vibrations of Cantilever Rectangular Plates[J]. Applied Mathematics and Mechanics, 1987, 8(7): 639-648.
[18]	Yin Chang-yan, Zu Cheng-de. Bending of a Circular Cylinder Containing a Crack[J]. Applied Mathematics and Mechanics, 1987, 8(11): 1015-1026.
[19]	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.
[20]	Chang Hsi-the. Earthquake Response of Circular Column Submerged in Water Partially[J]. Applied Mathematics and Mechanics, 1983, 4(6): 847-851.