Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Stability of a multilayered non-circular cylindrical shell under external pressure. / Zelinskaya, A.; Tovstik, P. E.
Shell Structures: Theory and Applications Volume 4 - Proceedings of the 11th International Conference on Shell Structures: Theory and Applications, SSTA 2017. ред. / Wojciech Pietraszkiewicz; Wojciech Witkowski. Том 4 Taylor & Francis, 2018. стр. 283-286 (Shell Structures: Theory and Applications; Том 4).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - Stability of a multilayered non-circular cylindrical shell under external pressure
AU - Zelinskaya, A.
AU - Tovstik, P. E.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - The paper deals with the stability of an elastic non-circular cylindrical shell of intermediate length under uniform external pressure. The shell is assumed heterogeneous in the thickness direction, in its part it may be multilayered. In order to derive the equations of stability, we use the generalized Timoshenko-Reissner model. According to it, a shell that is heterogeneous can be replaced by a homogeneous shell with the equivalent bending and transversal shear stiffness.We obtain the approximate asymptotic formula for a critical load that takes into account an influence of a transversal shear and a variability of a directrix curvature. This formula generalizes the classical Southwell-Papkovich formula for a circular homogeneous shell.As an example, a three-layer elliptical shell is analysed, with hinged edges and a soft middle layer. We discuss the influence of transversal shear on a critical load for both an elliptical and a circular shell.
AB - The paper deals with the stability of an elastic non-circular cylindrical shell of intermediate length under uniform external pressure. The shell is assumed heterogeneous in the thickness direction, in its part it may be multilayered. In order to derive the equations of stability, we use the generalized Timoshenko-Reissner model. According to it, a shell that is heterogeneous can be replaced by a homogeneous shell with the equivalent bending and transversal shear stiffness.We obtain the approximate asymptotic formula for a critical load that takes into account an influence of a transversal shear and a variability of a directrix curvature. This formula generalizes the classical Southwell-Papkovich formula for a circular homogeneous shell.As an example, a three-layer elliptical shell is analysed, with hinged edges and a soft middle layer. We discuss the influence of transversal shear on a critical load for both an elliptical and a circular shell.
UR - http://www.scopus.com/inward/record.url?scp=85063892902&partnerID=8YFLogxK
U2 - 10.1201/9781315166605-63
DO - 10.1201/9781315166605-63
M3 - Conference contribution
AN - SCOPUS:85063892902
SN - 9781138050457
VL - 4
T3 - Shell Structures: Theory and Applications
SP - 283
EP - 286
BT - Shell Structures
A2 - Pietraszkiewicz, Wojciech
A2 - Witkowski, Wojciech
PB - Taylor & Francis
T2 - 11th International Conference on Shell Structures: Theory and Applications, SSTA 2017
Y2 - 11 October 2017 through 13 October 2017
ER -
ID: 38373219