About precision of elastoplastic solution of problem for cyclindrical shell under action of concentrated force
Abstract: The article is devoted application of the before developed method on determination of the resiliently-plastic tensely-deformed state of shells of arbitrary form on the basis of theory of small resiliently-plastic deformations. Linearizing of decision of tasks is executed the method of resilient decisions. In every approaching variation equalization of Lagranzha is used in moving of points of middle surface of shell in eventual differences. At the record of variation equalization of Lagranzha connection between tensions and deformations is presented in form law of Guka, but with additional members, taking into account plastic deformations. Geometrical equalizations are accepted in the linear raising in form correlations Koshi. Material is characterized the proper diagram of tension of cylindrical standard, module of normal resiliency and coefficient of Poisson. Kinematics scope terms are satisfied exactly, and static – on the free of fixing edges of shell approximately. A task is examined about precision elastic-plastic decision of the unreserved cylindrical shell of permanent thickness, hardly jammed on an outward contour at operating on it of the concentrated force normal to the middle surface. Precision of decision of this task is conducted on intensity of tangent tensions depending on density of net area, and also from the amount of points after the thickness of shell, additional elements depending on plastic deformations on the formula of Simpsona accepted at a calculation. Work is devoted the present day question of structural mechanics of shells at the action of the concentrated forces at resiliently-plastic deformation at the active process of loading.
Keywords: cylindrical shell, variation and difference method, method of linear approximation, density of tangential stress, function of plasticity. Precision of elastoplastic solution of problem for cylindrical shell.
Pages: 245-253.
For citation: Mushchanov, V. F.; Demidov, A. I. About precision of elastoplastic solution of problem for cyclindrical shell under action of concentrated force. – Text : electronic. – In: Metal Constructions. – 2012. – Vol. 18, N 4. – Р. 245-253. – URL: https://donnasa.ru/publish_house/journals/mk/2012-4/04_muschanov_demidov.pdf (date of access: 21.11.2024). – ISSN 1993-3517.
Vol. 18, N 4 (2012)
Journal: Metal Constructions
Publish house: Donbas National Academy of Civil Engineering and Architecture
Journal: Metal Constructions
Publish house: Donbas National Academy of Civil Engineering and Architecture