Flutter of a viscoelastic plate in a supersonic gas flow

Khudayarov, B.A.

doi:10.1007/s10778-010-0328-y

Cited by 17 publications

(5 citation statements)

References 2 publications

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“…The curves shown in the figure refer to the following parameter values α = 0.1 (1), α = 0.7 (2). At α = 0.1, a singular, rapidly damping oscillatory process occurs [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. (L is the length of overhang) on dimensionless time  for various values of mass ratio β12.…”

Section: Numerical Resultsmentioning

confidence: 99%

Simulation of oscillations of composite pipelines conveying pulsating fluid

Komilova

Shakhobiddinova²,

Ismoilov³

et al. 2023

E3S Web Conf.

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The article considers the problem of vibrations of straight sections of the pipeline based on the theory of beams. A mathematical model of the dynamics of a straight viscoelastic pipe with a pulsating fluid is developed. The speed of a pulsating fluid is assumed to be harmonically fluctuating and has the following form: V(t) = υ0 (1 + μ1cosϖt). The mathematical model of the problem is simplified using the Bubnov-Galerkin approach to the solution of a set of common integro-differential equations with time as an independent variable. A numerical approach based on the removal of the singularity in the relaxation kernel of the integral operator is used to solve integro-differential equations. A numerical approach for the unknowns was used to get the system of algebraic equations. The Gauss technique is used to resolve a set of algebraic equations. The dynamics of fluid-transporting viscoelastic pipes have difficulties that can be solved computationally.

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Section: Numerical Resultsmentioning

confidence: 99%

Simulation of oscillations of composite pipelines conveying pulsating fluid

Komilova

Shakhobiddinova²,

Ismoilov³

et al. 2023

E3S Web Conf.

View full text Add to dashboard Cite

show abstract

“…Thus, according to the numerical method for the unknowns, a system of algebraic equations is obtained [21][22][23][24][25]. To solve the system, the Gauss method is used.…”

Section: Numerical Procedures Of Solving the Algebraic Systemmentioning

confidence: 99%

Numerical Modeling of pipes conveying gas-liquid two-phase flow

2019

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Results of studies of the oscillations of pipelines conveying a two-phase slug flow are presented in the paper. A viscoelastic model of the theory of beams and the Winkler base model are used in the study of pipeline oscillations with a gas-containing slug flowing inside. The Boltzmann-Volterra hereditary theory of the viscoelasticity is used to describe the viscoelastic properties of the pipeline material and earth bases. The effect of gas and liquid phases flow rates, influence of tensile forces in the longitudinal direction of the pipeline, parameters of Winkler bases, parameters of singularity in the heredity kernels and geometric parameters of the pipeline on the oscillations of structures with viscoelastic properties are numerically studied. It is revealed that an increase in the length of the gas bubble zone leads to a decrease in the amplitude and oscillation frequency of the pipeline. The critical rates for a two-phase slug flow are determined. It is revealed that an increase in the soil density of the bases leads to an increase in the critical rate of gas flow. It is shown that an account of viscoelastic properties of structure material and earth bases leads to a decrease in the critical flow rate.

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“…Equations of motion 7are integrated by a numerical method based on the use of quadrature formulas [18,19,23,[27][28][29][30][31]. Results of calculations are given in Tables 1 and 2 and are presented by the graphs in Figs.…”

Section: Formulation Of the Problem 21 Nonlinear Flutter Of Viscoelamentioning

confidence: 99%

Computer simulation of oscillatory processes of viscoelastic elements of thin-walled structures in a gas flow

2019

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Results of numerical investigation of dynamic behavior of deformed wing aircraft in a gas flow are presented in the paper. Vibrations with respect to deflections are described by a system of integro-differential equations in partial derivatives. Using the Bubnov-Galerkin method, the problem is reduced to a system of ordinary integro-differential equations, where time is an independent variable. The solutions of integro-differential equations are determined by a numerical method based on the use of quadrature formulas. Computational algorithms and a package of applied programs have been created to solve problems on nonlinear flutter of viscoelastic elements of an aircraft. The reliability of the solution of the problem is confirmed by comparison with known numerical and analytical results. The effect of different boundary conditions on critical flutter velocity is studied. Critical velocity and critical flutter time of viscoelastic plates are determined. It is shown that the singularity parameter α affects not only the vibrations of viscoelastic systems, but also critical time and critical flutter velocity. It is stated that consideration of viscoelastic properties of plate material leads to 40 60% decrease in critical flutter velocity.

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Flutter of a viscoelastic plate in a supersonic gas flow

Cited by 17 publications

References 2 publications

Simulation of oscillations of composite pipelines conveying pulsating fluid

Simulation of oscillations of composite pipelines conveying pulsating fluid

Numerical Modeling of pipes conveying gas-liquid two-phase flow

Computer simulation of oscillatory processes of viscoelastic elements of thin-walled structures in a gas flow

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