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Response of an infinite beam resting on the tensionless Winkler foundation subjected to an axial and a transverse concentrated loads
Zhang Y(张吟); Liu XM(刘小明)
通讯作者Zhang, Yin(zhangyin@lnm.imech.ac.cn)
发表期刊EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
2019-09-01
卷号77页码:11
ISSN0997-7538
摘要The presence of an axial load changes the system stiffness of an infante beam on a tensionless Winkler foundation, which also determines the solution form of the beam deflection. Five different closed form solutions depending on the axial load are analytically derived in this study. The beam deflections are systematically studied when it is subjected to various axial and transverse concentrated loads. Because the contact zone of a tensionless contact is not known a priori, it can cause a significant mathematical difficulty in solving various tensionless contact problems. In recent tensionless contact researches, the major efforts have been developing the efficient but complex algorithms to determine the contact zones. Five transcendental equations governing the contact zones, which are straightforward for numerical computations, are also analytically derived. The five closed form solutions can serve as a guide line for the further study of the beam tensionless contacts with more complex loading scenarios. Furthermore, the model of a beam on the Winkler foundation subjected to an axial load is also demonstrated to be applicable to various and different problems.
关键词Beam Winkler foundation Tensionless foundation Closed form solution
DOI10.1016/j.euromechsol.2019.103819
收录类别SCI ; EI
语种英语
WOS记录号WOS:000482507100036
关键词[WOS]FINITE BEAM ; UNILATERAL FOUNDATIONS ; ELASTIC-FOUNDATION ; CONTACT ; STABILITY ; PLATES ; TRACK
WOS研究方向Mechanics
WOS类目Mechanics
资助项目National Key Research and Development Program of China[2017YFA0204402] ; National Key Research and Development Program of China[2016YFB1200602-09] ; National Key Research and Development Program of China[2016YFB1200602-10] ; National Natural Science Foundation of China (NSFC)[11772335] ; National Natural Science Foundation of China (NSFC)[11772334] ; Chinese Academy of Sciences[XDB22020201]
项目资助者National Key Research and Development Program of China ; National Natural Science Foundation of China (NSFC) ; Chinese Academy of Sciences
论文分区二类/Q1
力学所作者排名1
RpAuthorZhang, Yin
引用统计
被引频次:18[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/311007/80006
专题非线性力学国家重点实验室
推荐引用方式
GB/T 7714
Zhang Y,Liu XM. Response of an infinite beam resting on the tensionless Winkler foundation subjected to an axial and a transverse concentrated loads[J]. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,2019,77:11.
APA 张吟,&刘小明.(2019).Response of an infinite beam resting on the tensionless Winkler foundation subjected to an axial and a transverse concentrated loads.EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,77,11.
MLA 张吟,et al."Response of an infinite beam resting on the tensionless Winkler foundation subjected to an axial and a transverse concentrated loads".EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 77(2019):11.
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