Hostname: page-component-8448b6f56d-cfpbc Total loading time: 0 Render date: 2024-04-17T13:50:11.363Z Has data issue: false hasContentIssue false
  • English
  • Français

Free Vibration Analysis of Lock Gate Structure

Published online by Cambridge University Press:  07 May 2020

Deepak Kumar Singh Open the ORCID record for Deepak Kumar Singh [Opens in a new window] ,
Priyaranjan Pal  and
S. K. Duggal
Deepak Kumar Singh*
Affiliation:
Civil Engineering Department, MNNIT Allahabad, Prayagraj, India
Priyaranjan Pal
Affiliation:
Civil Engineering Department, MNNIT Allahabad, Prayagraj, India
S. K. Duggal
Affiliation:
Civil Engineering Department, MNNIT Allahabad, Prayagraj, India
*
*Corresponding author (erdeepak@mnnit.ac.in)
Get access

Abstract

The effect of fluid on the natural frequencies of a vertical rectangular lock gate is investigated. The fluid is assumed to be inviscid and incompressible having an irrotational flow field. The far boundary of fluid domain is truncated near the lock gate structure by solving the Laplace equation using Fourier half range cosine series expansion. The formulation of lock gate structure is governed using Mindlin’s plate theory. The coupled interaction between the fluid domain and the lock gate structure is established using finite element method (FEM) and a computer code is written using FORTRAN. Convergence study and validation of the formulation are carried out to minimise the computational error. The natural frequencies of lock gate coupled with and without fluid are determined for undisturbed and linearised free surface conditions. By varying extent of fluid domain, the effect on the natural frequencies of lock gate is evaluated. The results of natural frequencies obtained may be useful to the designer when the reservoir lock gate structure is exposed to the natural disasters.

Keywords

Lock gateNatural frequenciesUndisturbed free surfaceLinearised free surface
Type
Research Article
Information
Journal of Mechanics , Volume 36 , Issue 4 , August 2020 , pp. 507 - 520
Copyright
Copyright © 2020 The Society of Theoretical and Applied Mechanics

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Amabili, M. and Kwak, M. K., “Effect of Finite Fluid Depth on the Hydroelastic Vibrations of Circular and Annular Plates,” Journal of Sound and Vibration, 193, pp. 909–925 (1996).CrossRefGoogle Scholar
Kwak, M. K. and Amabili, M., “Hydroelastic Vibration of Free-Edge Annular Plates,” Journal of Vibration and Acoustics, 121, pp. 26–32 (1999).CrossRefGoogle Scholar
Amabili, M., “Vibration of Circular Plates on a Free Fluid Surface: Effect of Surface Waves,” Journal of Sound and Vibration, 226, pp. 407–424 (1999).CrossRefGoogle Scholar
Maity, D. and Bhattacharyya, S. K., “Time Domain Analysis of Infinite Reservoir by Finite Element Method using a Novel Far-Boundary Condition,” Finite Elements in Analysis and Design, 32, pp. 85–96 (1999).CrossRefGoogle Scholar
Maity, D., “A Novel Far-Boundary Condition for the Finite Element Analysis of Infinite Reservoir,” Applied Mathematics and Computation, 170, pp. 1314–1328 (2005).CrossRefGoogle Scholar
Zhou, D. and Cheung, Y. K., “Vibration of Vertical Rectangular Plate in Contact with Water on one side,” Earthquake Engineering & Structural Dynamics, 29, pp. 693–710 (2000).3.0.CO;2-V>CrossRefGoogle Scholar
Cheung, Y. K. and Zhou, D., “Coupled Vibratory Characteristics of a Rectangular Container Bottom Plate,” Journal of Fluids and Structures, 14, pp. 339–357 (2000).CrossRefGoogle Scholar
Cheung, Y. K. and Zhou, D., “Hydroelastic Vibration of a Circular Container Bottom Plate using the Galerkin Method,” Journal of Fluids and Structures, 16, pp. 561–580 (2002).CrossRefGoogle Scholar
Maity, D. and Bhattacharyya, S. K., “A Parametric Study on Fluid-Structure Interaction Problems,” Journal of Sound and Vibration, 263, pp. 917–935 (2003).CrossRefGoogle Scholar
Pani, P. K. and Bhattacharyya, S. K., “Fluid-Structure Interaction Effects on Free Vibration of a Vertical Rectangular Lock Gate using a near Truncated Boundary,” Institution of Engineers (India) - Structural Division, 86, pp. 187–194 (2006).Google Scholar
Pani, P. K. and Bhattacharyya, S. K., “Fluid-Structure Interaction Effects on Dynamic Pressure of Rectangular Lock Gate,” Finite Elements in Analysis and Design, 43, pp. 739–748 (2007).CrossRefGoogle Scholar
Pani, P. K. and Bhattacharyya, S. K., “Hydrodynamic Pressure on a Vertical Gate considering Fluid- Structure Interaction,” Finite Elements in Analysis and Design, 44, pp. 759–766 (2008).CrossRefGoogle Scholar
Pani, P. K. and Bhattacharyya, S. K., “Finite Element Analysis of a Vertical Rectangular Plate Coupled with an Unbounded Fluid Domain on one Side using a Truncated far Boundary,” Journal of Hydrodynamics, 21, pp. 190–200 (2009).CrossRefGoogle Scholar
Ugurlu, B., Kutlub, A., Ergina, A. and Omurtag, M. H., “Dynamics of a rectangular plate resting on an elastic foundation and partially in contact with a quiescent fluid,” Journal of Sound and Vibration, 317, pp. 308–328 (2008).CrossRefGoogle Scholar
Pal, P. and Bhattacharyya, S. K., “Sloshing in Partially Filled Liquid Containers - Numerical and Experimental Study for 2-D Problems,” Journal of Sound and Vibration, 329, pp. 4466–4485 (2010).CrossRefGoogle Scholar
Pal, P. and Bhattacharyya, S. K., “Slosh Dynamics of Liquid-Filled Composite Containers - A Two Dimensional Meshless Local Petrov-Galerkin Approach,” Journal of Fluids and Structures, 39, pp. 60–75 (2013).CrossRefGoogle Scholar
Pal, P., “Slosh dynamics of liquid-filled rigid containers - a two dimensional meshless local Petrov-Galerkin approach,” Journal of Engineering Mechanics, 138, pp. 567–581 (2012).CrossRefGoogle Scholar
Hashemi, S. H., Karimi, M. and Rokni, H., “Natural frequencies of rectangular Mindlin plates coupled with stationary fluid,” Applied Mathematical Modelling, 36, pp. 764–778 (2012).CrossRefGoogle Scholar
Cho, D. S., Kim, B. H., Kim, J. H., Vladimir, V. and Choi, T. M., “Frequency response of rectangular plate structures in contact with fluid subjected to harmonic point excitation force,” Thin-Walled Structures, 95, pp. 276–286 (2015).Google Scholar
Liao, C. Y. and Ma, C. C., “Vibration characteristics of rectangular plate in compressible inviscid fluid,” Journal of Sound and Vibration 362, pp. 228–251 (2016).CrossRefGoogle Scholar
Pal, P., Singh, R. R. and Singh, D. K., “Free Vibration Frequencies of Lock Gate Structure considering Fluid Structure Interaction,” International Journal of Advance Civil Engineering & Technology, 1, pp. 1–22 (2016).Google Scholar
Singh, D. K., Duggal, S. K. and Pal, P., “Free Vibration Analysis of Stiffened Lock Gate Structure Coupled with Fluid,” Journal of Structural Engineering (Madras), 45, pp. 1–9 (2018).Google Scholar
Singh, D. K., Pal, P. and Duggal, S. K., “Dynamic pressure on lock gate structure coupled with fluid,” Vibroengineering PROCEDIA, 29, pp. 165–170 (2019).CrossRefGoogle Scholar
Ruth Burke Art. https://www.ruthburkeart.photoshelter.com/image/I0 000ghPZWsRsEZUGoogle Scholar
Airy, G. B., “Tides and Waves,” Encyclopaedia Metropolitana, 5, pp. 241–392 (1845).Google Scholar
Westergaard, H. M., “Water Pressure on Dams during Earthquakes,” Transactions of the American Society of Civil Engineers, 98, pp. 418–472 (1933).Google Scholar
Kalita, K. and Haldar, S., “Parametric Study on Thick Plate Vibration Using FSDT,” Mechanics and Mechanical Engineering, 19, pp. 81–90 (2015).Google Scholar
IS: 800, General construction in steel - Code of practice, Bureau of Indian Standards, New Delhi, 2007.Google Scholar