Stability of multilayered shells of revolution with allowance for geometric nonlinearity of the subcritical state

Autor:	V. N. Gupalyuk, V. M. Trach, A. O. Rasskazov
Rok vydání:	1999
Předmět:	Mechanical Engineering Mathematical analysis Rotational symmetry Allowance (engineering) Conical surface System of linear equations Stability (probability) Nonlinear system symbols.namesake Mechanics of Materials Variational principle Gaussian curvature symbols Mathematics
Zdroj:	International Applied Mechanics. 35:589-594
ISSN:	1573-8582 1063-7095
Popis:	The finite-difference method and the Trefftz-Reissner variational principle are used to obtain a system of equations in mixed from to describe the stability and geometric nonlinearity of composite shells of revolution. Methods are developed and an algorithm is proposed to calculate the components of the geometrically nonlinear subcritical stress-strain state and to use those components to determine the “upper” critical values for shells with zero Gaussian curvature loaded by uniform external pressure, an axisymmetric load, or a combination of these loads. The stability of cylindrical, conical, and compound shells under uniform pressure is examined for different support conditions. Linear and nonlinear methods of determining the subcritical stress-strain state are compared and their effect on the critical loads is estimated.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e739a14d467988e24e7ea1232bf22ff9 https://doi.org/10.1007/bf02682182 Zobrazit plný text záznamu Full text from SpringerLink