Energy Method in the Calculation Stability of Compressed Polymer Rods Considering Creep

Andreew, Vladimir I; Чепурненко, Антон; Yazyev, Batyr

doi:10.4028/www.scientific.net/amr.1004-1005.257

Cited by 35 publications

(19 citation statements)

References 5 publications

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“…Using (8), we can express from (7) the growth rates of creep strains: This method is also used in [4][5][6][7][8][9]. The following boundary conditions were assumed: Fig.…”

Section: Resultsmentioning

confidence: 99%

Calculation of a three-layer plate by the finite element method taking into account the creep of the filler

2017

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Abstract. In the article the derivation of the resolving equations for the calculation of a three-layer plate taking into account the creep of the middle layer by the finite element method is given. Rectangular finite elements are used. The problem reduces to a system of linear algebraic equations. An example of calculating a three-layer plate hinged on the contour and loaded with a uniformly distributed load is considered. A comparison of the results with the solution based on the finite difference method is presented.

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“…Using (8), we can express from (7) the growth rates of creep strains: This method is also used in [4][5][6][7][8][9]. The following boundary conditions were assumed: Fig.…”

Section: Resultsmentioning

confidence: 99%

Calculation of a three-layer plate by the finite element method taking into account the creep of the filler

2017

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“…Substituting the expression for the longitudinal forces (12) in the expression for the deformation of the middle surface (14), and then the middle surface deformation compatibility equation of deformation (11), we obtain the second governing equation: , …”

Section: Fig 1 Equilibrium Of Rotation Shell Elementmentioning

confidence: 99%

“…Method for determining creep strains is given in the works [14][15][16][17]. Rheological constants of concrete in the calculation were taken to be: γ = 0.062 day …”

Section: Fig 1 Equilibrium Of Rotation Shell Elementmentioning

confidence: 99%

Calculation of the rotation shells on axisymmetric load taking the creep into account

et al. 2017

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Abstract. The paper presents a derivation of governing equations and the method of calculation of shells of revolution taking the creep into account. Moment theory is considered. The problem is reduced to a system of two second order differential equations. We also present an example of the calculation of reinforced concrete shell on the effect of its own weight. Viscoelastic model of hereditary concrete aging is used.

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“…There is also a solution derived to the problem on flat deformation of a circular rod taking into account deformations of bending and stretching-compression only for the case of loading ( ) const y q q α = = [5]. The absence of sufficiently accurate analytical solution to the problem of flat deformation of arches contributed to the fact that authors of a number of papers recommend replacing curved rods with a set of straight rods.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Mathematical modeling of the stressed-deformed state of circular arches of specialized cranes

Orobey

Daschenko

Kolomiets

et al. 2017

EEJET

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in the papers of the authors of present work. Results of the numerical-analytical variant of the boundary element method are distinguished by high accuracy and reliability.The scientific literature typically reports solutions to SDS of circular arches, obtained by known methods. It is rather difficult, however, to estimate accuracy of the obtained results and their reliability. Given this, a task of applying BEM to the calculation of SDS of circular arches is relevant for the following reasons:1. There appears a possibility to obtain accurate results for SDS of arches at different loads and boundary conditions of support, which is problematic when employing the known methods of structural mechanics.2. It is necessary to make sure that BEM actually allows obtaining accurate results for the calculation of SDS.3. It is extremely useful to have resolving equations for the boundary value problems of flat deformation of circular arches under various supporting conditions. IntroductionRods in the shape of an arc of a circle (circular arches) are widely used in construction and industrial machine-building, particularly, in crane building when designing specialized cranes. Their application is predetermined by advantages in comparison with the structures that consist of straight rods, given the higher load-bearing capacity and rigidity [1]. In the present study, in order to calculate circular arches, we applied a numerical-analytical variant of the boundary element method. The use of this method is predetermined by advantages over the existing methods of structural mechanics. In particular, the methods of force, displacements, initial parameters, finite elements and others do not have the possibility to accurately account for the concentrated moment in the form of external load and exact solution to a problem on the planar deformation of a circular arch. These shortcomings are missing in the variant of BEM, developed APPLIED MECHANICS MATHEMATICAL MODELING OF THE STRESSED-DEFORMED STATE OF CIRCULAR ARCHES OF SPECIALIZED CRANES V . O r o b e yDoctor of Technical Sciences, Professor* E-mail: v.f.orobey@opu.ua O . D a s c h e n k oDoctor of Technical Sciences, Professor* E-mail: daschenko.o.f@opu.ua L . K o l o m i e t sDoctor of Technical Sciences, Professor** E-mail: leonkolom61@gmail.com O . L y m a r e n k oPhD, Associate Professor* E-mail: a.m.limarenko@opu.ua Y . O v c h a r o vPhD, Associate Professor** E-mail: odatry@gmail.com *Department of dynamics, durability of machines and resistance of materials Odessa National Polytechnic University Shevchenka ave., 1, Odessa, Ukraine, 65044 **Department of Standardization, Conformity Assessment and Quality Odessa State Academy of Technical Regulation and Quality Kovalska str., 15, Odessa, Ukraine, 65020Представлена методика розрахунку напру-жено-деформованого стану (НДС) кругових арок із урахуванням деформацій вигину і розтягу-вання-стиснення, зосереджених та розподіле-них зовнішніх навантажень. Врахування умов обпирання опорних перетинів виконаний в рам-ках алгоритму чисель...

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Energy Method in the Calculation Stability of Compressed Polymer Rods Considering Creep

Cited by 35 publications

References 5 publications

Calculation of a three-layer plate by the finite element method taking into account the creep of the filler

Calculation of a three-layer plate by the finite element method taking into account the creep of the filler

Calculation of the rotation shells on axisymmetric load taking the creep into account

Mathematical modeling of the stressed-deformed state of circular arches of specialized cranes

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