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Title Galerkin–Vlasov Method for Deflection Analysis of Isotropic Sandwich Plates under Uniform Load
Other Titles Метод Гальоркіна-Власова для аналізу напружено-деформованого стану рівномірно навантаженої ізотропної шаруватої пластини
Authors Mama, B.O.
Ike, C.C.
ORCID
Keywords isotropic sandwich plate
Galerkin–Vlasov method
governing differential equation of equilibrium
orthogonal eigen functions
generalized displacements parameters
ізотропна шарувата пластина
метод Гальоркіна-Власова
рівняння рівноваги
ортогональні власні функції
узагальнені параметри
Type Article
Date of Issue 2018
URI http://essuir.sumdu.edu.ua/handle/123456789/68201
Publisher Sumy State University
License
Citation Mama, B.O. Galerkin–Vlasov Method for Deflection Analysis of Isotropic Sandwich Plates under Uniform Load [Текст] / B.O. Mama, C.C. Ike // Журнал інженерних наук. - 2018. - Т. 5, № 1. - С. D15-D19. - DOI: 10.21272/jes.2018.5(1).d3.
Abstract In this work, the Galerkin–Vlasov method was used to solve the governing partial differential equation of equilibrium for isotropic sandwich plates with simply supported edges (x = ±a, y = ±b) and under uniform load on the plate domain Vlasov procedure was adopted in choosing the displacement shape functions as orthogonal eigen functions of dynamic Euler Bernoulli beams with equivalent spans, simple supports and loading as the plate. The resulting Galerkin-Vlasov equation was solved to obtain the unknown generalised shape function. It was found that the deflections obtained were exact solutions to the problem of bending isotropic sandwich plates. The deflection was found to be made up of two components: flexural deformation and shear deformation.
Appears in Collections: Journal of Engineering Sciences / Журнал інженерних наук

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Iran Iran
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1481182
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