Mode Shapes of Transverse Vibrations of Rod Protected from Vibrations in Kinematic Excitations

Mirsaidov, Mirziyod; Dusmatov, O. M.; Khodjabekov, M. U.

doi:10.1007/978-3-030-79983-0_20

Cited by 10 publications

(3 citation statements)

References 17 publications

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“…In the works [4][5][6][7], the influence of the properties of materials on the motions of nonlinear mechanical systems was studied. Expressions of modal mass and modal stiffness were used to solve the problems of reducing harmful vibrations at low and high frequencies.…”

Section: Introductionmentioning

confidence: 99%

Technology of production of environmentally safe road pavements with new content by recycling tires

Omonov

Djiyanbaev²,

Umbarov³

2023

E3S Web Conf.

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This scientific article proposes the technology of recycling tires and obtaining an environmentally safe finished product. In this, the technology of creating road pavements with a new composition through the composition of secondary tire shreds and interactive phosphogypsum components has been developed. Technological processes, new methods, ingredients are studied in the article. Researched in chemical methods.

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Section: Introductionmentioning

confidence: 99%

Technology of production of environmentally safe road pavements with new content by recycling tires

Omonov

Djiyanbaev²,

Umbarov³

2023

E3S Web 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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“…In the work [36] considered the problem of determining the mode shapes of liquid section dynamic absorber when it is used as an object to quench the vibrations.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the Dynamics of Elastic Plate and Liquid Section Dynamic Absorber

Mirsaidov

Dusmatov

Khodjabekov

2022

PNRPU Mechanics Bulletin

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In this paper, the problem of studying the dynamics of transverse vibrations of plate, taking into account the elastic dissipative characteristics of the hysteresis type in conjunction with a liquid section dynamic absorber under the influence of kinematic excitations. In the differential equations of motion, the elastic dissipative characteristics of the plate material of the hysteresis type are taken into account by means of harmonic linearization coefficients based on the Pisarenko -Boginich hypothesis. The amplitude-frequency characteristic of the vibrating plate and the analytical expressions of the transfer function were determined using a differential operator from a system of differential equations of motion depending on the system parameters. In order to perform numerical calculations, the coefficients of the first three terms of the logarithmic decrement expression were found. In the amplitude interval, the function representing the vertical deviation of the amplitude-frequency characteristic decreases and the function representing the energy dissipation in the plate material increases. It has been shown that the efficiency of the liquid section dynamic absorber in quenching harmful plate vibrations at low frequencies can be evaluated based on the results of numerical calculations to ensure that the displacements of the plate point reach minimum values. Amplitude-frequency characteristics for plate points at different parameters were constructed for the distributed parametric system using the developed model and method. Recommendations for the selection of parameters of the system depending on the elastic dissipative and inertial properties are given.

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Mode Shapes of Transverse Vibrations of Rod Protected from Vibrations in Kinematic Excitations

Cited by 10 publications

References 17 publications

Technology of production of environmentally safe road pavements with new content by recycling tires

Technology of production of environmentally safe road pavements with new content by recycling tires

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

Evaluation of the Dynamics of Elastic Plate and Liquid Section Dynamic Absorber

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