IMECH-IR  > 非线性力学国家重点实验室
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)
Corresponding AuthorZhang, Yin(zhangyin@lnm.imech.ac.cn)
Source PublicationEUROPEAN JOURNAL OF MECHANICS A-SOLIDS
2019-09-01
Volume77Pages:11
ISSN0997-7538
AbstractThe 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.
KeywordBeam Winkler foundation Tensionless foundation Closed form solution
DOI10.1016/j.euromechsol.2019.103819
Indexed BySCI ; EI
Language英语
WOS IDWOS:000482507100036
WOS KeywordFINITE BEAM ; UNILATERAL FOUNDATIONS ; ELASTIC-FOUNDATION ; CONTACT ; STABILITY ; PLATES ; TRACK
WOS Research AreaMechanics
WOS SubjectMechanics
Funding ProjectNational 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]
Funding OrganizationNational Key Research and Development Program of China ; National Natural Science Foundation of China (NSFC) ; Chinese Academy of Sciences
Classification二类/Q1
Ranking1
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/80007
Collection非线性力学国家重点实验室
Recommended Citation
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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