.
.
.
.
"157-173" .
"SRM Research Institute and Department of Mathematics, SRM Institute of Science and Technology, 603203, Kattankulathur, Tamil Nadu, India" .
"expansion method" .
.
"method" .
"relation" .
"horizontal direction" .
.
_:Na4295e0d2d5d4884bd97203c8a163a78 .
"waves" .
.
_:Nde78a6ad550c437c9e9a73fa31b797c8 "1" .
"0971-3514" .
_:Nb6b891f054cf4d9286aea461b2b8a25f .
.
_:N53f1380061744470b9ad7b015d80ee22 "pub.1107924683" .
"eigenfunction expansion method" .
.
_:N53f1380061744470b9ad7b015d80ee22 "dimensions_id" .
"coefficient" .
"known results" .
"present model" .
"contour plots" .
"behavior" .
_:Nb6b891f054cf4d9286aea461b2b8a25f .
"system" .
"phase velocity" .
.
"paper" .
"en" .
"ratio" .
_:N53f1380061744470b9ad7b015d80ee22 .
"Springer Nature" .
"Differential Equations and Dynamical Systems" .
.
.
"2018-10-30" .
_:Na4295e0d2d5d4884bd97203c8a163a78 "29" .
"reflection" .
"In the present paper, oblique wave scattering by a system of semi-infinite floating and submerged elastic plates of different structural parameters is studied under the assumption of small-amplitude waves and structural response in finite water depth. Matched eigenfunction expansion method is used for the solution of the boundary value problem. Numerical results for wave scattering are computed and analyzed for the reflection and transmission coefficients to reveal the effects of the wave and structural parameters. Assuming infinitely extended floating and submerged plates in the horizontal direction, the amplitude ratio and dispersion relation are derived and the behavior of the roots of the dispersion relation is analyzed through a contour plot. Further, group and phase velocities are demonstrated briefly for various wave and structural parameters. The present model is validated by comparing with known results available in the literature for wave scattering by a semi-infinite floating elastic plate in the absence of the submerged plate." .
.
"structural parameters" .
"response" .
"structural response" .
"2022-01-01T18:49" .
"true"^^ .
"articles" .
.
"dispersion relation" .
"Oblique Wave Scattering by a System of Semi-Infinite Floating and Submerged Elastic Plates" .
"transmission coefficient" .
.
_:Nde78a6ad550c437c9e9a73fa31b797c8 .
"Harekrushna" .
"assumption" .
"https://scigraph.springernature.com/explorer/license/" .
"plots" .
.
.
_:Nbd326085716f4eb0bb7b97197b65fcf6 .
_:N16643abf17e34b219739fa3a94d42afa .
"direction" .
"present paper" .
.
"Pure Mathematics" .
_:N16643abf17e34b219739fa3a94d42afa .
"plate" .
"value problem" .
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_:N16643abf17e34b219739fa3a94d42afa "doi" .
"Behera" .
"absence" .
.
"boundary value problem" .
"problem" .
_:N16643abf17e34b219739fa3a94d42afa "10.1007/s12591-018-0444-4" .
"SRM Research Institute and Department of Mathematics, SRM Institute of Science and Technology, 603203, Kattankulathur, Tamil Nadu, India" .
"amplitude ratio" .
.
"solution" .
"small-amplitude waves" .
"numerical results" .
"water depth" .
"scattering" .
"Oblique Wave Scattering" .
_:Nde78a6ad550c437c9e9a73fa31b797c8 .
"Mathematical Sciences" .
"roots" .
.
.
.
"2018-10-30" .
"results" .
"group" .
"velocity" .
"oblique waves" .
.
"article" .
_:Na4295e0d2d5d4884bd97203c8a163a78 .
_:N53f1380061744470b9ad7b015d80ee22 .
_:Nbd326085716f4eb0bb7b97197b65fcf6 "Springer Nature - SN SciGraph project" .
"literature" .
"submerged plate" .
"elastic plate" .
.
"different structural parameters" .
_:Nbd326085716f4eb0bb7b97197b65fcf6 .
"https://doi.org/10.1007/s12591-018-0444-4" .
_:Nb6b891f054cf4d9286aea461b2b8a25f .
"model" .
"depth" .
.
"parameters" .