IMECH-IR  > 力学所知识产出(1956-2008)
Tensionless Contact Of A Finite Beam Resting On Reissner Foundation
Zhang Y(张吟); Zhang, Y (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100080, Peoples R China.
Source PublicationInternational Journal of Mechanical Sciences
2008
Pages1035-1041
ISSN0020-7403
AbstractA more generalized model of a beam resting on a tensionless Reissner foundation is presented. Compared with the Winkler foundation model, the Reissner foundation model is a much improved one. In the Winkler foundation model, there is no shear stress inside the foundation layer and the foundation is assumed to consist of closely spaced, independent springs. The presence of shear stress inside Reissner foundation makes the springs no longer independent and the foundation to deform as a whole. Mathematically, the governing equation of a beam on Reissner foundation is sixth order differential equation compared with fourth order of Winkler one. Because of this order change of the governing equation, new boundary conditions are needed and related discussion is presented. The presence of the shear stress inside the tensionless Reissner foundation together with the unknown feature of contact area/length makes the problem much more difficult than that of Winkler foundation. In the model presented here, the effects of beam dimension, gap distance, loading asymmetry and foundation shear stress on the contact length are all incorporated and studied. As the beam length increases, the results of a finite beam with zero gap distance converge asymptotically to those obtained by the previous model for an infinitely long beam. (C) 2008 Elsevier Ltd. All rights reserved.
KeywordTensionless Contact Beam Reissner Foundation Lift-off Elastic Half-space Rectangular-plates Unbonded Contact Supports
DOI10.1016/j.ijmecsci.2008.02.006
Indexed BySCI
Language英语
WOS IDWOS:000256992700006
WOS KeywordELASTIC HALF-SPACE ; RECTANGULAR-PLATES ; UNBONDED CONTACT ; SUPPORTS
WOS Research AreaEngineering ; Mechanics
WOS SubjectEngineering, Mechanical ; Mechanics
Citation statistics
Cited Times:33[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/25994
Collection力学所知识产出(1956-2008)
Corresponding AuthorZhang, Y (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100080, Peoples R China.
Recommended Citation
GB/T 7714
Zhang Y,Zhang, Y . Tensionless Contact Of A Finite Beam Resting On Reissner Foundation[J]. International Journal of Mechanical Sciences,2008:1035-1041.
APA 张吟,&Zhang, Y .(2008).Tensionless Contact Of A Finite Beam Resting On Reissner Foundation.International Journal of Mechanical Sciences,1035-1041.
MLA 张吟,et al."Tensionless Contact Of A Finite Beam Resting On Reissner Foundation".International Journal of Mechanical Sciences (2008):1035-1041.
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