THERMAL POST—BUCKLING OF AN ELASTIC BEAMS SUBJECTED TO A TRANSVERSELY NON—UNIFORM TEMPERATURE RISING
Based on the nonlinear geometric theory of axially extensible beams and by using the shooting method,the thermal post-buckling responses of an elastic beams,with immovably simply supported ends and subjected to a transversely non-uniformly distributed temperature rising,were investigated.Especially,...
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| Published in | Applied mathematics and mechanics Vol. 24; no. 5; pp. 514 - 520 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Department of Basic Science, Gansu University to Technology, Lanzhou 730050, P.R. China
01.05.2003
Department of Mechanics, Lanzhou University, Lanzhou 730000, P.R. China%Department of Mechanics, Shanghai University, Shanghai 200436, P.R. China%Department of Mechanics, Lanzhou University, Lanzhou 730000, P.R. China |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0253-4827 1573-2754 |
| DOI | 10.1007/bf02435863 |
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| Abstract | Based on the nonlinear geometric theory of axially extensible beams and by using the shooting method,the thermal post-buckling responses of an elastic beams,with immovably simply supported ends and subjected to a transversely non-uniformly distributed temperature rising,were investigated.Especially,the influences of the transverse temperature change on the thermal psot-buckling deformations were examined and the corresponding characteristic curves were poltted.The numerical results show that the equilibrium paths of the beam are similar to what of an initially deformed beam because of the thermal bending moment produced in the beam by the transverse temperature change. |
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| AbstractList | Based on the nonlinear geometric theory of axially extensible beams and by using the shooting method,the thermal post-buckling responses of an elastic beams,with immovably simply supported ends and subjected to a transversely non-uniformly distributed temperature rising,were investigated.Especially,the influences of the transverse temperature change on the thermal psot-buckling deformations were examined and the corresponding characteristic curves were poltted.The numerical results show that the equilibrium paths of the beam are similar to what of an initially deformed beam because of the thermal bending moment produced in the beam by the transverse temperature change. O343; Based on the nonlinear geometric theory of axially extensible beams and by usingthe shooting method, the thermal post-buckling responses of an elastic beams, withimmovably simply supported ends and subjected to a transversely non-uniformly distributedtemperature rising, were investigated. Especially, the influences of the transversetemperature change on the thermal post-buckling deformations were examined and thecorresponding characteristic curves were plotted. The numerical results show that theequilibrium paths of the beam are similar to what of an initially deformed beam because ofthe thermal bending moment produced in the beam by the transverse temperature change. |
| Author | 李世荣 程昌钧 周又和 |
| AuthorAffiliation | DepartmentofBasicScience,GansuUniversitytoTechnology,Lanzhou730050,P.R.China DepartmentofMechanics,ShanghaiUniversity,Shanghai200436,P.R.China DepartmentofMechanics,LanzhouUniversity,Lanzhou730000,P.R.China |
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| CitedBy_id | crossref_primary_10_1016_j_compstruct_2014_01_041 crossref_primary_10_1016_j_ijmecsci_2013_01_007 crossref_primary_10_1080_01495739_2011_605932 crossref_primary_10_1115_1_4023975 crossref_primary_10_1007_s10483_007_0107_z crossref_primary_10_1080_01495739_2015_1120627 crossref_primary_10_12989_sem_2011_40_3_347 crossref_primary_10_1080_15397734_2022_2148691 crossref_primary_10_1016_j_compstruct_2020_112241 crossref_primary_10_1007_s00170_016_9442_2 crossref_primary_10_1016_j_tws_2016_08_019 crossref_primary_10_1016_j_ijnonlinmec_2016_12_004 crossref_primary_10_12989_sem_2012_44_1_109 crossref_primary_10_1080_01495730490486352 |
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| Keywords | elastic beam numerical solution shoothng method thermal post-buckling transverse temperature change |
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| Publisher | Department of Basic Science, Gansu University to Technology, Lanzhou 730050, P.R. China Department of Mechanics, Lanzhou University, Lanzhou 730000, P.R. China%Department of Mechanics, Shanghai University, Shanghai 200436, P.R. China%Department of Mechanics, Lanzhou University, Lanzhou 730000, P.R. China |
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| References | Li Shi-rong (BF02435863_CR4) 1997; 33 Li Shi-rong (BF02435863_CR7) 2000; 21 Li Shi-rong (BF02435863_CR9) 2000; 4 T Stemple (BF02435863_CR1) 1990; 25 C P Filipich (BF02435863_CR5) 2000; 35 Cheng Chang-jun (BF02435863_CR2) 1991 S S Antman (BF02435863_CR3) 1995 Li Shi-rong (BF02435863_CR8) 2000; 17 D W Coffin (BF02435863_CR6) 1999; 34 H P William (BF02435863_CR10) 1986 |
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| Snippet | Based on the nonlinear geometric theory of axially extensible beams and by using the shooting method,the thermal post-buckling responses of an elastic... O343; Based on the nonlinear geometric theory of axially extensible beams and by usingthe shooting method, the thermal post-buckling responses of an elastic... |
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| SubjectTerms | shooting方法 平衡路径 弹性梁 数值方法 横向温度变化 热后弯曲 非线性几何 |
| Title | THERMAL POST—BUCKLING OF AN ELASTIC BEAMS SUBJECTED TO A TRANSVERSELY NON—UNIFORM TEMPERATURE RISING |
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