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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.
发表期刊International Journal of Mechanical Sciences
2008
页码1035-1041
ISSN0020-7403
摘要A 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.
关键词Tensionless Contact Beam Reissner Foundation Lift-off Elastic Half-space Rectangular-plates Unbonded Contact Supports
DOI10.1016/j.ijmecsci.2008.02.006
收录类别SCI
语种英语
WOS记录号WOS:000256992700006
关键词[WOS]ELASTIC HALF-SPACE ; RECTANGULAR-PLATES ; UNBONDED CONTACT ; SUPPORTS
WOS研究方向Engineering ; Mechanics
WOS类目Engineering, Mechanical ; Mechanics
引用统计
被引频次:33[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://dspace.imech.ac.cn/handle/311007/25994
专题力学所知识产出(1956-2008)
通讯作者Zhang, Y (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100080, Peoples R China.
推荐引用方式
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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