New types of membrane-rod and membrane-pneumatic structures and improved methods for their calculation

Author:

Kim A. Yu.1,Polnikov S. V.1ORCID,Amoyan M. F.1

Affiliation:

1. Yu.A. Gagarin Saratov State Technical University

Abstract

Objective. The purpose of this study was to create new pre-fabricated membrane-rod structures and non-linear methods for their calculation.Method. A stepwise method with an iterative numerical Euler-Cauchy procedure of the third order of accuracy was applied with the use of the finite element method at the step.Result. A technique for static calculation of membrane-rod structures has been developed, taking into account nonlinear factors. A calculation algorithm has been compiled and a program for calculating such structures has been written according to it. For this program, a certificate was obtained on the computer No. 2017613415 "Program for calculating membrane-pneumatic structures, taking into account non-linear factors by the iterative method of incrementing parameters."Conclusion. It is recommended to use a one-step calculation of membrane-rod systems with five iterations per step or a multi-step calculation with five steps with one iteration per step. Mixed options are also effective.

Publisher

FSB Educational Establishment of Higher Education Daghestan State Technical University

Subject

Polymers and Plastics,General Environmental Science

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3. Davidenko D.F. On the application of the parameter variation method to the construction of iterative formulas of increased accuracy for determining the numerical solutions of nonlinear integral equations. Report USSR Academy of Sciences, M., 1965; 162.:78–85 [In Russ]

4. Ignatiev A.V. Basic formulations of the finite element method in problems of structural mechanics. Part 3. Vestnik MGSU 2015;1: 16-26. [In Russ]

5. Kim A.Yu. Calculation of membrane-pneumatic systems taking into account non-linear factors. Monograph. Continuum design schemes. Sarat. state agrarian un-t. - Saratov, 2000; 1148: 198 - Dep. at VINI-TI 24.04.00. - No. 1148 - B2000. [In Russ]

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