Open AccessAsymptotic research of deformations and stresses of the ring that sustains the seam of elliptic bottom and conic shell
Author(s) -
B.N. Yakovlev
Publication year - 2021
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/247736
Subject(s) - conic section , ring (chemistry) , shell (structure) , geometry , plane (geometry) , rotation (mathematics) , section (typography) , stress (linguistics) , differential (mechanical device) , planar , state (computer science) , base (topology) , mathematics , physics , mathematical analysis , materials science , computer science , composite material , chemistry , linguistics , philosophy , organic chemistry , computer graphics (images) , algorithm , thermodynamics , operating system
In the paper, we consider stress-deformed state of elastic system that consists of the elliptic bottom, the ring, and the conic shell. The ring is under arbitrary load, which acts in its plane.On the base of the principal differential dependencies of design of the planar circular ring, we obtain the expressions for tensions, momentum, and the angle of rotation of lateral section.