Contact interactions of multi-layer plates with a combined base

Mirsaidov, Mirziyod; Mamasoliev, Kazokboy

doi:10.1063/5.0118870

Cited by 3 publications

(2 citation statements)

References 23 publications

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“…-references [36][37][38] gives the development of a mathematical model and a method for solving the problem of contact interaction of various multilayer structures with a combined base. As a result of solving specific problems, a number of new mechanical effects associated with the manifestation of internal force factors in three-layer beam systems interacting with combined bases were revealed;…”

Section: Introductionmentioning

confidence: 99%

Dynamic behavior of earth dams under different kinematic impacts

Mirsaidov

Toshmatov²

2023

E3S Web of Conf.

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The paper provides a detailed analysis of the current state of the problem. A mathematical model is presented to determine the dynamic behavior of earth dams, considering the viscoelastic properties of soil, using the hereditary Boltzmann-Volterra theory with the A.R. Rzhanitsyn kernel under periodic kinematic impacts. To solve the problems considered, the finite element method and complex arithmetics were used to reduce integrodifferential equations to a high-order complex algebraic equation. The accuracy of the methods was verified by solving test problems. Steadystate forced vibrations of the Pskem earth dam 195 m high are studied considering the real geometry and soil properties under resonant vibration modes. It was stated that the largest stress amplitudes in the body of the dam occur not only under the first resonance, but they can occur under other dense spectra of the eigenfrequencies of the dam, due to the interaction between close natural modes of vibration. The strength of various sections of the dam body was tested under kinematic impact using the Coulomb- Mohr theory of strength; the most dangerous sections of the dam were identified in terms of the highest stress.

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Section: Introductionmentioning

confidence: 99%

Dynamic behavior of earth dams under different kinematic impacts

Mirsaidov

Toshmatov²

2023

E3S Web of Conf.

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“…Mathematical modeling of nonlinear mechanical systems, studying their dynamics, exploring the stability of their vibrations and reducing harmful vibrations at low and high frequencies were solved in the works [7][8][9][10][11][12][13]. The Stability behavior of the system was checked at different values of the parameters, conclusions were obtained as a result of numerical calculations.…”

Section: Introductionmentioning

confidence: 99%

Rectilinear car motions taking into account the elasticity and deformability of tires

Dusmatov,

Urunboev,

Mamatkabulov

2023

E3S Web of Conf.

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In this paper, the problem of developing a mathematical model of rectilinear motion of a car is solved, taking into account the elasticity and deformability of tires, as well as, for the same radii of the wheels of the car, and taking into account plane-parallel motion at a constant speed. The kinetic energy of the rectilinear motion of the car is found in the case of the same rotation of the front wheels around the axis of the pivots. Generalized forces are taken as sum of forces acting on the system and forces due to the deformation of the pneumatics. The forces acting on the system are found by virtual work method. The forces due to the deformation of the pneumatics are found as the generalized forces acting on the system under consideration, in the calculation of which all forces are taken into account, except for the tire deformation forces associated with angles and displacements. Using these kinetic energies and generalized force expressions, Lagrange's equations of the second type were used to obtain the differential equations of the rectilinear motion of the car. From the resulting mathematical model, it is possible to check and analyze the dynamics and stabilities of the system in various specific cases, i.e., under the influence of non-potential forces in the tire materials, and at large values of the tire kinematic parameters, and at high speed movements of the car. As a result of determining the stability field and stability borders at different values of constructive parameters, it will be possible to find the optimal parameters of the system and study its dynamics.

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