THE MODIFIED METHOD OF SEQUENTIAL LOADS FOR THE ANALYSIS OF SLENDER SHALLOW SHELLS
Main Article Content
Abstract
This study discusses specific features of analyzing shallow shells using a modified sequential load method and a collocation method. This combination shows a rapid rate of convergence when the golden section principle is used to select the collocation node system.
Downloads
Article Details
Issue
Section

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
How to Cite
References
Petrov, V.V. Nonlinear Structural Mechan-ics, second edition, expanded: textbook / V.V. Petrov. – Moscow: ASV Publishing House, 2024. – 504 p.
Zenkevich, O. The Finite Element Method in Engineering. Moscow: Mir Publishing House, 1975. 541 pp.
Ilyin, V.P., Karpov, V.V., Maslennikov, A.M. Numerical Methods for Solving Prob-lems in Structural Mechanics. Moscow: ASV Publishing House, 2005. 425 p.
Volmir, A.S. Slender Plates and Shells / A.S. Volmir. Moscow: Gostekhizdat, 1956. 419 p.
Petrov V.V. Nonlinear Structural Analysis Based on the Modified Sequential Load Method / V. V. Petrov // International Jour-nal for Computational Civil and Structural Engineering. – 2021. – Vol. 17, No. 4. – P. 146-152.
Petrov, V. V. Modified method of sequen-tial loads in nonlinear structural mechanics / V. V. Petrov, R. V. Mishchenko, O. A. Gorbacheva // Fundamental, exploratory, and applied research by the RAASN on sci-entific support for the development of archi-tecture, urban planning, and the construction industry in the Russian Federation in 2021: Collection of scientific works by the RAASN / Russian Academy of Architecture and Construction Sciences. Volume 2. – Moscow: ASV Publishing House, 2022. – Pp. 339-349.
Petrov V.V. The method of sequential loads in nonlinear plate and shell theory / Saratov: Saratov University Press, 1975. – 119 p.
Gorbacheva O.A. On the calculation of plates using the collocation method / O.A. Gorbacheva // Expert: Theory and Practice. – 2023. – No. 1(20). – P. 69-72.
Petrov V.V., Gorbacheva O.A. Calculation of a plate made of nonlinearly elastic mate-rial using the collocation method // Bulletin of the Volga Regional Branch of the Russian Academy of Architecture and Construction Sciences: Collection of scientific papers. – Nizhny Novgorod: Nizhny Novgorod State University of Architecture and Civil Engi-neering, 2023. – Pp. 124-128.
Korobko V.I. , Korobko G.N. The Golden Ratio and Man, second edition, supplement-ed and revised. – Moscow: ASV Publishing House, 2002. – 394 p.