Three-dimensional extended Kantorovich solution for Levy-type rectangular laminated plates with edge effects

Kumari, Poonam; Kapuria, S.; Rajapakse, R. K. N. D.

doi:10.1016/j.compstruct.2013.07.053

Cited by 31 publications

(5 citation statements)

References 21 publications

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“…Similar results were obtained by Poonam Kumari, Santosh Kapuria and R.K.N.D. Rajapakse in [15]; Y.-Y. Su, X-L. Gao in [16]; X. Wang, G. Shi in [17] and other authors [18]- [21].…”

Section: Resultssupporting

confidence: 86%

Evaluation of the Warping Model for Analysis of Polystyrene Concrete Slabs with Profiled Steel Sheeting

Cherednikov¹,

Voskobiinyk

Cherednikova

2017

Period. Polytech. Civil Eng.

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In this article the possibility of applying the warping model offered by V. G. Piskunov, A. V. Goryk and V. N IntroductionComposite structures based on light concretes with profiled steel sheeting have been widely applied recently, especially in construction. Most often, these structures are used as lapping in construction of new low-rise buildings as well as in reconstruction of the existing buildings. The use of the light concretes with profiled steel sheeting ensures several advantages, such as the possibility of slab production directly on a building site, structure lightweight and its sufficient strength. However, one of the main problems which limits the application of concrete structures with profiled sheeting is the absence of a sufficiently reliable method for its analysis.The accounting for a combined action of sheeting and concrete, as well as the determination of the moment of their separation and the coming loss of load-carrying capability of the slab are the most difficult and interesting tasks here. Since separation of the profiled sheeting from the concrete occurs due to transverse stresses at the boundary of contacting materials, determination of the transverse stresses is the main task of such a method. Herewith, shear deformations should be taken into account as they cause cross-section warping. One of the models which combines all those features is a model developed by V. G. Piskunov and co-authors. Accounting for inhomogeneous structure of the cross-section is a distinctive feature of this model. Existing models [1][2][3][4][5][6][7][8][9][10] are used for analyzing layered beams and slabs with a simple cross-sectional shape without inclusions, so the considered model enables us to take into account any inhomogeneous structure of cross-section. However, this model has not yet been applied for analyzing reinforced concrete structures.To assess the applicability of checking and verify the model, offered by V. G. Piskunov and co-authors in [11][12][13] for studying steel reinforced concrete structures, it is necessary to carry out an analysis of a real structure, and to compare the obtained results with the experimental data. To do so, a polystyrene concrete slab with profiled steel sheeting (PCSPSS) for which experimental results were known has been taken as the object of research.

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“…Similar results were obtained by Poonam Kumari, Santosh Kapuria and R.K.N.D. Rajapakse in [15]; Y.-Y. Su, X-L. Gao in [16]; X. Wang, G. Shi in [17] and other authors [18]- [21].…”

Section: Resultssupporting

confidence: 86%

Evaluation of the Warping Model for Analysis of Polystyrene Concrete Slabs with Profiled Steel Sheeting

Cherednikov¹,

Voskobiinyk

Cherednikova

2017

Period. Polytech. Civil Eng.

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“…Bending behavior of PV panel under uniformlly distributted force is studied in present paper, so the force q is a constant. Taking the Fourier expansion and doing odd continuation on the right term in Equation (38), it can be expressed as…”

Section: Modified Rayleigh-rita Methods and Closed-form Solutionsmentioning

confidence: 99%

“…Except those, researchers also proposed some other theories and models, such as trigonometric shear deformation theory [33], new higher order shear deformation theory [34,35], and so on. Then, the methods to solve the different partial differential equations are also developed by many researchers [36][37][38]. However, in many of those works, the boundary conditions of the plates are only simply-supported for four edges since it is easier to solve the equations and get solutions.…”

Section: Introductionmentioning

confidence: 99%

Experimental and Theoretical Research on Bending Behavior of Photovoltaic Panels with a Special Boundary Condition

Zhang

Xie

et al. 2018

Energies

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Currently, the photovoltaic (PV) panels widely manufactured on market are composed of stiff front and back layers and the solar cells embedded in a soft polymeric interlayer. The wind and snow pressure are the usual loads to which working PV panels need to face, and it needs the panels keep undamaged under those pressure when they generate electricity. Therefore, an accurate and systematic research on bending behavior of PV panels is important and necessary. In this paper, classical lamination theory (CLT) considering soft interlayer is applied to build governing equations of the solar panel. A Rayleigh–Rita method is modified to solve the governing equations and calculate the static deformation of the PV panel. Different from many previous researches only analyzing simply supported boundary condition for four edges, a special boundary condition which consists of two opposite edges simply supported and the others two free is studied in this paper. A closed form solution is derived out and used to do the numerical calculation. The corresponding bending experiments of PV panels are completed. Comparing the numerical results with experiment results, the accuracy of the analytical solutions are verified.

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“…There are 8 primary field variables ( , V, , , , , , ) which are to be solved. Using the multiterm Mathematical Problems in Engineering EKM [42], the field variables for the th layer are expressed as…”

Section: The Generalized Multiterm Ekmmentioning

confidence: 99%

Analytical Solution for Bending Analysis of Axially Functionally Graded Angle-Ply Flat Panels

Singh

Kumari

Hazarika

2018

Mathematical Problems in Engineering

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In this paper, the analytical solution is presented for axially functionally graded (AFG) angle-ply flat panels subjected to arbitrary boundary condition. Material properties of AFG panels are assumed to vary linearly along x-direction. Reissner-type variation principle is used to derive the governing equations in mixed form. By employing extended Kantorovich method (EKM), a set of nonhomogeneous ordinary differential equations (ODEs) are obtained along the in-plane (x) and thickness (z) direction. The system of ODEs along the z-direction has constant coefficients, solved analytically. However, the system of ODEs along x-direction has variable coefficients, solved using modified power series method. The influence of property variation on the deflection and stresses is studied and discussed comprehensively for different sets of boundary conditions. Numerical results are validated through comparison with 3D FE. The presented analytical solution can serve as a benchmark for assessing the accuracy of the two-dimensional solution or 3D numerical solutions.

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Three-dimensional extended Kantorovich solution for Levy-type rectangular laminated plates with edge effects

Cited by 31 publications

References 21 publications

Evaluation of the Warping Model for Analysis of Polystyrene Concrete Slabs with Profiled Steel Sheeting

Evaluation of the Warping Model for Analysis of Polystyrene Concrete Slabs with Profiled Steel Sheeting

Experimental and Theoretical Research on Bending Behavior of Photovoltaic Panels with a Special Boundary Condition

Analytical Solution for Bending Analysis of Axially Functionally Graded Angle-Ply Flat Panels

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