Replacement of the exact equation of the dynamical problem of viscoelasticity by an ?approximate? one

Mal'tsev, L. E.

doi:10.1007/bf00866679

Cited by 2 publications

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“…As the main equations characterizing the natural oscillations of shell systems, we take the system of differential-algebraic equations with complex coefficients obtained in [28][29][30].…”

Section: Methodsmentioning

confidence: 99%

Simulation of dynamic processes of shell structures with viscoelastic elements

et al. 2023

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The paper presents the choice and method of calculating thin-walled structures that adequately reflect deformation in the compensator example. When choosing a design model, the influence of structural elements and their mechanical characteristics on its behavior in various operating conditions is taken into account since sometimes small changes in the design model can significantly impact the design analysis results. The complete design scheme of most designs, particularly the compensator, leads to statically indeterminate systems. Taking into account the energy dissipation in the shell material; the boundary value problems are reduced to a system of ordinary differential equations of the 12th order. The forms of natural oscillations for the first four natural frequencies are given. It is established that the inertia forces acting in the axial direction do not significantly affect the stress-strain state of shell structures.

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“…As the main equations characterizing the natural oscillations of shell systems, we take the system of differential-algebraic equations with complex coefficients obtained in [28][29][30].…”

Section: Methodsmentioning

confidence: 99%

Simulation of dynamic processes of shell structures with viscoelastic elements

et al. 2023

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“…• использовать модели для нахождения оптимальных соотношений параметров, исследования особых режимов работы. Далее задача овынужденных колебаний с помощью известных методов Бубнова-Галёркина в сочетании с методом усреднения, сводится к системе обыкновенных нелинейных дифференциальных уравнений с комплексными коэффициентами [7,9,10…”

Section: Introductionunclassified

Modeling the Process of Reforming a Rod With Nonlinear Viscoelastic Characteristics.

Salimov¹,

Mavlanov²

2020

Theoretical & Applied Science

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Replacement of the exact equation of the dynamical problem of viscoelasticity by an ?approximate? one

Cited by 2 publications

References 0 publications

Simulation of dynamic processes of shell structures with viscoelastic elements

Simulation of dynamic processes of shell structures with viscoelastic elements

Modeling the Process of Reforming a Rod With Nonlinear Viscoelastic Characteristics.

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