Numerical modeling of the flutter problem of viscoelastic elongated plate

Khudayarov, B.A.; Turaev, F.Zh.; Ruzmetov, K.; Tukhtaboev, A. A.

doi:10.1063/5.0071353

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2023

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“…Application of the Newmark method is based on representation of the vector of unknown displacements   u and its derivatives   u by independent series in powers of a time step, with retention of terms up to third order of a derivative and choice of conditions for ensuring unconditional convergence of the integration process [15][16][17][18][19][20][21]. As a result of this representation the differential equation ( 6) at the end of the 1st step is reduced to the solution of the algebraic system…”

Section: Methоdmentioning

confidence: 99%

Investigation of dynamic behavior and stress-strain state of soil dams taking into account physically Non-linear properties of soils

Kholboev,

Matkarimov,

Mirzamakhmudov

2023

E3S Web of Conf.

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The article presents the results of a study of the dynamic behavior and stress-strain state of the Rezaksay soil dam taking into account the physically nonlinear properties of soils, in a flat setting. A mathematical model developed for the study of earth dams is presented. based on the Lagrange variational equation using the d'Alembert principle. As a computing device, the finite element method is used in the work. At the same time, it was determined that the stress-strain state and dynamic behavior of a soil dam significantly depend on the physical and mechanical properties of soils, the commensurability of the geometric dimensions, and theslope coefficients of the dam thrust prisms.

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