Open AccessON THE EQUILIBRIUM AND STABILITY OF ELASTIC THIN-WALLED CYLINDERS
Author(s) -
Hu Hai-Chang,
Shi Po-Ming
Publication year - 1955
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.11.339
Subject(s) - cylinder , trigonometric series , stability (learning theory) , generalization , trigonometry , stability theory , cantilever , series (stratigraphy) , rod , physics , classical mechanics , mathematical analysis , materials science , mathematics , geometry , computer science , composite material , nonlinear system , medicine , paleontology , alternative medicine , pathology , quantum mechanics , machine learning , biology
In this paper a theory of equilibrium and stability of elastic thin-walled cylinders is proposed. The theory is based on the following assumptions: 1) The cross section of the cylinder is uncleformable. 2) The cylinder is under a system of initial stresses σz0=- P0/F-My0/Ixx x + Mx0/Iyyy. This theory may be regarded as a generalization of V. Z. Vlasoff's theory of stability of thin-walled rods, and includes the theory of Karman-Chien and Adaduroff as a special case. For cases of simply supported cylinders and cantilever cylinders, a method of solution using trigonometric series is proposed which is much simpler than the methods used by Karman-Chien and Adaduroff.