Nonlinear Bending of the Block Spherical Reticulated Shells with Damage under the Transverse Load

Based on theory of Lemaitre’s equivalent strain of the damage and with the damage of bars of the block reticulated spherical shell, the nonlinear bending problem of the block reticulated shells considering damage with rectangular bottom was studied under the boundary condition of moved fixed-edges b...

Full description

Bibliographic Details
Main Authors: Li Lei, He Sheng-dong, Hao Ji-ping
Format: Article
Language:English
Published: EDP Sciences 2016-01-01
Series:MATEC Web of Conferences
Online Access:http://dx.doi.org/10.1051/matecconf/20164001008
id doaj-d61b4e14dc724da7bc793d0398657878
record_format Article
spelling doaj-d61b4e14dc724da7bc793d03986578782021-02-02T00:35:56ZengEDP SciencesMATEC Web of Conferences2261-236X2016-01-01400100810.1051/matecconf/20164001008matecconf_icmes2016_01008Nonlinear Bending of the Block Spherical Reticulated Shells with Damage under the Transverse LoadLi Lei0He Sheng-dong1Hao Ji-ping2ZhengZhou University of AeronauticsZhengZhou University of AeronauticsXi’ an University of Architecture TechnologyBased on theory of Lemaitre’s equivalent strain of the damage and with the damage of bars of the block reticulated spherical shell, the nonlinear bending problem of the block reticulated shells considering damage with rectangular bottom was studied under the boundary condition of moved fixed-edges based on the nonlinear deformation fundamental equations. The trigonometric series solution satisfies boundary condition of the deflection was derived firstly. The stress function was solved by substitution of the solution into the nonlinear compatibility equation and the nonlinear characteristic formula of the loads and the deflection was obtained by the energy equation. Then the critical point was given. The critical load was given by the characteristic curves. The nonlinear characteristic formula in the paper can be reference by the engineering designers. The effect of the damage of the structure can be considered.http://dx.doi.org/10.1051/matecconf/20164001008
collection DOAJ
language English
format Article
sources DOAJ
author Li Lei
He Sheng-dong
Hao Ji-ping
spellingShingle Li Lei
He Sheng-dong
Hao Ji-ping
Nonlinear Bending of the Block Spherical Reticulated Shells with Damage under the Transverse Load
MATEC Web of Conferences
author_facet Li Lei
He Sheng-dong
Hao Ji-ping
author_sort Li Lei
title Nonlinear Bending of the Block Spherical Reticulated Shells with Damage under the Transverse Load
title_short Nonlinear Bending of the Block Spherical Reticulated Shells with Damage under the Transverse Load
title_full Nonlinear Bending of the Block Spherical Reticulated Shells with Damage under the Transverse Load
title_fullStr Nonlinear Bending of the Block Spherical Reticulated Shells with Damage under the Transverse Load
title_full_unstemmed Nonlinear Bending of the Block Spherical Reticulated Shells with Damage under the Transverse Load
title_sort nonlinear bending of the block spherical reticulated shells with damage under the transverse load
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2016-01-01
description Based on theory of Lemaitre’s equivalent strain of the damage and with the damage of bars of the block reticulated spherical shell, the nonlinear bending problem of the block reticulated shells considering damage with rectangular bottom was studied under the boundary condition of moved fixed-edges based on the nonlinear deformation fundamental equations. The trigonometric series solution satisfies boundary condition of the deflection was derived firstly. The stress function was solved by substitution of the solution into the nonlinear compatibility equation and the nonlinear characteristic formula of the loads and the deflection was obtained by the energy equation. Then the critical point was given. The critical load was given by the characteristic curves. The nonlinear characteristic formula in the paper can be reference by the engineering designers. The effect of the damage of the structure can be considered.
url http://dx.doi.org/10.1051/matecconf/20164001008
work_keys_str_mv AT lilei nonlinearbendingoftheblocksphericalreticulatedshellswithdamageunderthetransverseload
AT heshengdong nonlinearbendingoftheblocksphericalreticulatedshellswithdamageunderthetransverseload
AT haojiping nonlinearbendingoftheblocksphericalreticulatedshellswithdamageunderthetransverseload
_version_ 1724313551320907776