Loss of stability of a thin-walled cylindrical shell under plastic elongation

1977 ◽  
Vol 13 (5) ◽  
pp. 468-472
Author(s):  
G. D. Del' ◽  
S. S. Oding
2009 ◽  
Vol 71 ◽  
pp. 77-83
Author(s):  
V. G. Bazhenov ◽  
◽  
A. I. Kibetz ◽  
M. V. Petrov ◽  
D. V. Shoshin ◽  
...  

2019 ◽  
Vol 19 (12) ◽  
pp. 1950160 ◽  
Author(s):  
Jing Zhang ◽  
Jie Xu ◽  
Xuegang Yuan ◽  
Wenzheng Zhang ◽  
Datian Niu

Some significant behaviors on strongly nonlinear vibrations are examined for a thin-walled cylindrical shell composed of the classical incompressible Mooney–Rivlin material and subjected to a single radial harmonic excitation at the inner surface. First, with the aid of Donnell’s nonlinear shallow-shell theory, Lagrange’s equations and the assumption of small strains, a nonlinear system of differential equations for the large deflection vibration of a thin-walled shell is obtained. Second, based on the condensation method, the nonlinear system of differential equations is reduced to a strongly nonlinear Duffing equation with a large parameter. Finally, by the appropriate parameter transformation and modified Lindstedt–Poincar[Formula: see text] method, the response curves for the amplitude-frequency and phase-frequency relations are presented. Numerical results demonstrate that the geometrically nonlinear characteristic of the shell undergoing large vibrations shows a hardening behavior, while the nonlinearity of the hyperelastic material should weak the hardening behavior to some extent.


2011 ◽  
Vol 49 (1) ◽  
pp. 106-111 ◽  
Author(s):  
L. Ye ◽  
G. Lu ◽  
L.S. Ong

2021 ◽  
Vol 1 (24) ◽  
Author(s):  
Ekaterina Prokshits ◽  
Sergey Gridnev ◽  
Olga Sotnikova ◽  
Iana Zolotukhina

The task was set, due to the capabilities of modern software systems, to assess the effect of the increase in inelastic deformations under prolonged load action on the loss of stability of thin-walled dome coverings. The study of the dependences of the forms of the loss of stability of dome covering from creep concrete that will help further with optimization calculations when determining of the most influencing parameters of designs. Calculation results of thin-walled concrete dome roof of circular outline under the influence of operational loadings with use of two modern program complexes are given in article. It is investigated intense and deformation condition of dome coverings as a part of construction from position of forecasting of possible forms of loss of stability, with use of opportunities of the final and element «MidasCivil» computer system. In work provisions of the theory of elasticity, mechanics of deformation of solid body, construction mechanics and also methods of mathematical modeling based on application of finite element method are used. The received results give the chance to rationally select geometrical parameters and material of design and also to set structural strength safety factors at the solution of problems of stability of different covers taking into account possible creep of material.


2008 ◽  
Vol 35 (8) ◽  
pp. 1214-1219 ◽  
Author(s):  
康崇 Kang Chong ◽  
张敏 Zhang Min ◽  
陈洪娟 Chen Hongjuan ◽  
庞盟 Pang Meng ◽  
吕文磊 Lü Wenlei ◽  
...  

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