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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)
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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

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