NONLINEAR BENDING THEORY OF DIAGONAL SQUARE PYRAMID RETICULATED SHALLOW SHELLS

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (7): 747-755.

NONLINEAR BENDING THEORY OF DIAGONAL SQUARE PYRAMID RETICULATED SHALLOW SHELLS

肖潭, 刘人怀

Institute of Applied Mechanics, Jinan University, Guangzhou 510632, P. R. China

收稿日期:2000-05-23 修回日期:2001-02-20 出版日期:2001-07-18 发布日期:2001-07-18
基金资助:
the National Natural Science Foundation of China(19972024);the Natural Science Foundation of Guangdong Province(960197,994451)

NONLINEAR BENDING THEORY OF DIAGONAL SQUARE PYRAMID RETICULATED SHALLOW SHELLS

XIAO Tan, LIU Ren-huai

Institute of Applied Mechanics, Jinan University, Guangzhou 510632, P. R. China

Received:2000-05-23 Revised:2001-02-20 Online:2001-07-18 Published:2001-07-18
Supported by:
the National Natural Science Foundation of China(19972024);the Natural Science Foundation of Guangdong Province(960197,994451)

摘要/Abstract

摘要： Double-deck reticulated shells are a main form of large space structures. One of the shells is the diagonal square pyramid reticulated shallow shell, whose its upper and lower faces bear most of the load but its core is comparatively flexible. According to its geometrical and mechanical characteristics, the diagonal square pyramid reticulated shallow shell is treated as a shallow sandwich shell on the basis of three basic assumptions. Its constitutive relations are analyzed from the point of view of energy and internal force equivalence. Basic equations of the geometrically nonlinear bending theory of the diagonal square pyramid reticulated shallow shell are established by means of the virtual work principle.

Abstract: Double-deck reticulated shells are a main form of large space structures. One of the shells is the diagonal square pyramid reticulated shallow shell, whose its upper and lower faces bear most of the load but its core is comparatively flexible. According to its geometrical and mechanical characteristics, the diagonal square pyramid reticulated shallow shell is treated as a shallow sandwich shell on the basis of three basic assumptions. Its constitutive relations are analyzed from the point of view of energy and internal force equivalence. Basic equations of the geometrically nonlinear bending theory of the diagonal square pyramid reticulated shallow shell are established by means of the virtual work principle.

中图分类号:

O322
TH702

肖潭;刘人怀. NONLINEAR BENDING THEORY OF DIAGONAL SQUARE PYRAMID RETICULATED SHALLOW SHELLS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(7): 747-755.

XIAO Tan;LIU Ren-huai . NONLINEAR BENDING THEORY OF DIAGONAL SQUARE PYRAMID RETICULATED SHALLOW SHELLS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(7): 747-755.

参考文献

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NONLINEAR BENDING THEORY OF DIAGONAL SQUARE PYRAMID RETICULATED SHALLOW SHELLS

NONLINEAR BENDING THEORY OF DIAGONAL SQUARE PYRAMID RETICULATED SHALLOW SHELLS

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