The use of the compensated load method for solving the problem of the interaction of a plane harmonic wave with a flat plate in an elastic soil medium under various boundary conditions
UDC
539.3EDN
WHIFJSDOI:
10.31429/vestnik-22-2-31-44Abstract
This paper investigates the compensated load method for solving the problem of the interaction of a plane harmonic wave with a flat plate in an elastic soil medium. The main objective of this study is to determine the displacements at the boundary between the obstacle and the soil. To solve the problem of the motion of a homogeneous obstacle fixed in any way other than hinge support, an approach based on satisfying boundary conditions using compensating loads is employed. Surface influence functions are determined, which subsequently allow for the characterization of the reflected and transmitted waves passing through the obstacle. Then, based on the boundary conditions, the compensated loads are determined, enabling the calculation of the plate displacements.
Keywords:
Kirchhoff plate, compensating loads, influence function, harmonic excitationFunding information
The study did not have sponsorship.
References
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Dates
Submitted
February 28, 2025
Accepted
June 15, 2025
Published
June 30, 2025
How to Cite
[1]
Vo, V.D., Lokteva, N.A., The use of the compensated load method for solving the problem of the interaction of a plane harmonic wave with a flat plate in an elastic soil medium under various boundary conditions. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2025, т. 22, № 2, pp. 31–44. DOI: 10.31429/vestnik-22-2-31-44
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