Mathematical and Computer Modelling as the Basis of Structural Health Monitoring

Kaytukov, Taymuraz B.; Belostosky, A M; Akimov, Pavel A.; Sidorov, Vladimir N.

doi:10.1088/1757-899x/456/1/012072

Cited by 5 publications

(2 citation statements)

References 62 publications

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“…Let us write down the system of nonlinear differential equations of the theory of flexible plates, known as von Karman equations, according to [12]: (1) ),…”

Section: Resultsmentioning

confidence: 99%

“…For calculating plates in the geometrically nonlinear formulation, the works by Andreev L.E., Wagner G., Varvak P.M., Vorovich I.I., Grigolyuk E.I., Darevsky V.M., Zvolinsky N.V., Oleynikov G.A, Panov D.Y., Podorozhnyi A.A., Polubarinova-Kochina P.Y., Postnov V.A., Romashevskii A.Y., Sverdlov I.A., Slepov B.I., Sokolov P.A., Strigunov V.M., Faerberg I.I., Federhofer K., Feodosiev V.I. [1,2,3,4,5,[7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

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Rectangular plate calculation algorithm for static loads with geometric nonlinearity

Balamirzoev,

Ahmedova (Sephikhanova),

Kurbanova

et al. 2023

E3S Web of Conf.

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The aim of this study is to develop an algorithm for calculating rectangular plates for statistical loads taking into account geometrical nonlinearity on the basis of difference equations of the method of sequential approximations taking into account full and partial contact with elastic base. For our study, we used methods: finite elements method and method of sequential approximations, and theory of plate calculation considering large deflections. Results: a method, algorithm, and calculation algorithm for rectangular plates in the geometrically nonlinear formulation using difference equations of the method of sequential approximations (SEA) taking into account full and partial contact with the elastic base have been developed. Conclusion: An algorithm has been developed for the computation of rectangular plates in geometrically nonlinear formulation using difference equations of the method of sequential approximations. It is recommended to use generalized difference equations of finite difference method when calculating rectangular plates for the action of piecewise distributed transverse loads without taking into consideration interaction with elastic base. Having more compact form of recording, the solution obtained by using them has comparable accuracy as the version using SEA difference equations.

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“…Let us write down the system of nonlinear differential equations of the theory of flexible plates, known as von Karman equations, according to [12]: (1) ),…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Rectangular plate calculation algorithm for static loads with geometric nonlinearity

Balamirzoev,

Ahmedova (Sephikhanova),

Kurbanova

et al. 2023

E3S Web of Conf.

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Building constructions modelling problems in modern cae-systems

Alpatov

2019

E3S Web Conf.

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This article is about choosing building structure analysis model question. Construction analysis model type choice affects result of counting. Result accuracy and reliability depends on analysis scheme choice. Using modern computers, there is a lot of alternative abilities of creation construction analysis model. This article is made to understand these analysis models features and their influence on result. An example of counting beam in six independent CAD systems is shown. Engineering simulation and design software, which base on finite elements method, were chosen for analysis. These counting models differ from each other only by geometrical scheme. Beam geometry modeling is performed using beam elements, shell elements and solid elements. The comparison of beam calculation results with its beam, shell and solid elements analysis scheme modelling was performed. The analysis of single factor (geometric scheme) influence on the results of beam calculation is shown. It was defined, that the choice of calculation complex does not affect the calculation result, if the geometrical counting models are completely identical. It was defined, that in case creating construction with various types finite elements there are differences in the calculation results. Difference in calculation results, using different geometrical models, is seen in using the same complex and in comparison of different complexes. It was defined, that difference in calculating internal forces and moments in beam for different geometrical models can be more than 10%.

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Deformability and features of destruction of centrifuged concrete during shock loads

Shcherban’¹,

Stel’makh²,

Efimenko³

2019

Second International Conference on Material Science, Smart Structures and Applications: Icmss-2019

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Mathematical and Computer Modelling as the Basis of Structural Health Monitoring

Cited by 5 publications

References 62 publications

Rectangular plate calculation algorithm for static loads with geometric nonlinearity

Rectangular plate calculation algorithm for static loads with geometric nonlinearity

Building constructions modelling problems in modern cae-systems

Deformability and features of destruction of centrifuged concrete during shock loads

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