Mathematical Modeling of Static Deformation of a Layered Construction With Incompressible Layers

Vyachkin, E. S.; Kaledin, V. O.; RESHETNIKOVA, Еlena Vasil'evna; Vyachkina, E. A.; Gileva, A. E.

doi:10.17223/19988621/55/7

Cited by 3 publications

(1 citation statement)

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“…Postnov, R.A. Reznikov, L.A. Rozin, A.S. Sakharov, A.F. Smirnov and others made important contributions to numerical methods for calculating structures with large deflection [16][17][18][19][20][21][22].…”

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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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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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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Bending of flexible round plates

et al. 2021

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In this paper, schemes for constructing solutions to boundary value problems for static calculation of flexible circular plates with the nonlinear theory of Lyava and Volmyr are presented. From the equations of the equilibrium system of the plates, given in curvilinear coordinates, the system of equilibrium equations for flexible round plates is obtained. Substituting the expressions for the efforts and shearing forces and introducing dimensionless quantities, we obtain a system of quasilinear quantities in displacements. To develop an automated system for static calculation of flexible round plates, we use central finite-difference schemes that approximate derivatives with second-order accuracy, we obtain a system of quasilinear algebraic equations. To test the constructed automatic system for static calculation, the difference equations are reduced to vector form. An implicit iterative process combined with the Gaussian elimination method is applied to the solution of the system of equations. When calculating iterative processes, it continues until the above conditions are met. After determining the required functions by the finite difference method, we calculate the calculated values. Using the obtained numerical results, we will construct their graphs.

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The modern education system in Russia

Burov

Margalitadze

Smolskaya

et al. 2021

Zemleustrojstvo, Kadastr I Monitoring Zemel' (Land Management, Cadastre and Land Monitoring)

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The article deals with the role of a modern teacher of higher education. The emphasis is on changing the approach to the process of obtaining and transferring information, including modern communication technologies and the Internet. The article defines the role and functions of the state and civil society in ensuring national interests through the formation of a high-quality and affordable higher education system in the Russian Federation that meets the modern challenges. Goals. Exchange of pedagogical experience and the possibility of its application taking into account local specifics. Methods. Based on experience in scientific, pedagogical and economic activities, using examples of administrative and other regulation of the education sector, the authors focus on the problems in the field of higher education, including those caused by the COVID-19 pandemic. They offer the ways to solve these problems taking into consideration the examples of their own practice as well as Russian, Soviet and world experience. Results. The education system is always sensitive and responsive to changes in society. Following the development of human, industrial, and economic relations, the educational system of relations is developed as well. Thanks to the perfection of modern information and communication technologies, new opportunities for teacher-student interaction appear allowing not only to expand the scope of joint activities, but also to make the learning process to be more individualized. At the same time, if the modern generation does not understand the fundamental role of knowledge that a teacher can give, so the speculative, marketing, and other technologies for studying and influencing mass behavior and consciousness can suppress the will and conscience of a person and deprive him free choice in the future. Conclusions. The quality of human resources, as an important component of the productive forces of society, determines sustainable growth and the development of the socio-economic model. It is necessary to increase an attention to the training of highly professional specialists, citizens and patriots, to educating a generation of future builders of a new prosperous Russia.

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Mathematical Modeling of Static Deformation of a Layered Construction With Incompressible Layers

Cited by 3 publications

References 0 publications

Rectangular plate calculation algorithm for static loads with geometric nonlinearity

Rectangular plate calculation algorithm for static loads with geometric nonlinearity

Bending of flexible round plates

The modern education system in Russia

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