•  
  •  
 

Scientific-technical journal

Abstract

Models and methods of numerical calculation of elements of shell structures - main pipelines - are considered in the work. The refined equations of motion for cylindrical shell structures are obtained. To solve boundary value problems of thin-walled structures, the Bubnov-Galerkin method, finite differences using the sweep method is used. On the basis of the above algorithm, a program and implementation of solving the problems of a cylindrical shell has been developed.

First Page

6

Last Page

10

References

[1]. Myachenkov V.I., Grigoriev I.V. Calculation of composite shell structures on a computer.// Moscow: Mashinostroenie, 1981, 216 p.

[2]. Grigorenko Ya.M., Vlaikov G.G., Grigorenko A.Ya. Numerical-analytical solution of problems of shell mechanics based on various models // Kiev: Akademperiodika, 2006, 472 p.

[3]. Samarskiy A.A., Mikhailov A.P. Mathematical Modeling: Ideas. Methods. Examples.// Moscow: Nauka, 2001, 316 p.

[4]. Karpov V.V., Maslennikov A.M. Methods for Solving Non-Linear Tasks for Calculating Construction Structures // World Applied Sciences Journal, 23 (Problems of Architecture and Construction). 2013, Pp.178-183. http://idosi.org/wasj/wasj23/28pac/2913/35.pdf DOI: 10.5829/idosi. wasj. 2013, 23 .рас.90035.

[5]. Maksimyuk V.A., Storozhuk E.A., Chernyshenko I.S. Variational finite-difference methods in linear and nonlinear problems of the deformation of metallic and composite shells (review) // International Applied Mechanics. 2012, Volume 48, Issue 6. Pp. 613-687. DOI: 10.1007/s 10778-012-0544-8.

[6]. Buriev T. Algorithmization of the calculation of load-bearing elements of thin-walled structures. Tashkent: Fan, 1986, 244 p.

[7]. Davlyatov Sh.N. Experimental studies of the stress-strain state of cylindrical shells. //Tashkent, Problems of mechanics, 2019, № 4. Pp. 27-32.

[8]. Rashidov T.R. Dynamic theory of seismic resistance of complex systems of underground structures. - Tashkent: Fan, 1973, 179 p.

[9]. Abdusattarov A., Yuldashev T., Ruzieva N.B. On the calculation of main pipelines under variable loading, taking into account elastoplastic deformation. // Materials of the Republican Scientific and Practical Conference, Tashkent Institute of Railway Engineers, 2009, Pp. 138-142.

[10]. Abdusattarov A., Isomiddinov A.I., Ruzieva N.B. Equation of motion of underground main pipelines under spatially variable elastic-plastic loading. // Modern architecture, strength of buildings and structures. Reliability and seismic safety problems. Materials of the Republican Scientific and Practical Conference, 2021, Pp. 135-137

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.