Thermal buckling and post-buckling of pinned-fixed Euler-Bernoulli beams on an elastic foundation

doi:10.1016/j.mechrescom.2006.06.006

CORC > 兰州理工大学 > 兰州理工大学

	Thermal buckling and post-buckling of pinned-fixed Euler-Bernoulli beams on an elastic foundation
	Song, Xi; Li, Shi-Rong
刊名	MECHANICS RESEARCH COMMUNICATIONS
	2007-03
卷号	34 期号:2 页码:164-171
关键词	beam elastic foundation thermal buckling mode transition numerical results
ISSN号	0093-6413
DOI	10.1016/j.mechrescom.2006.06.006
英文摘要	In this article, both thermal buckling and post-buckling of pinned-fixed beams resting on an elastic foundation are investigated. Based on the accurate geometrically non-linear theory for Euler-Bernoulli beams, considering both linear and non-linear elastic foundation effects, governing equations for large static deformations of the beam subjected to uniform temperature rise are derived. Due to the large deformation of the beam, the constraint forces of elastic foundation in both longitudinal and transverse directions are taken into account. The boundary value problem for the non-linear ordinary differential equations is solved effectively by using the shooting method. Characteristic curves of critical buckling temperature versus elastic foundation stiffness parameter corresponding to the first, the second, and the third buckling mode shapes are plotted. From the numerical results it can be found that the buckling load-elastic foundation stiffness curves have no intersection when the value of linear foundation stiffness parameter is less than 3000, which is different from the behaviors of symmetrically supported (pinned-pinned and fixed fixed) beams. As we expect that the non-linear foundation stiffness parameter has no sharp influence on the critical buckling temperature and it has a slight effect on the post-buckling temperature compared with the linear one. (C) 2006 Elsevier Ltd. All rights reserved.
WOS研究方向	Mechanics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000242457900009
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/35616]
专题	兰州理工大学
通讯作者	Li, Shi-Rong
作者单位	Lanzhou Univ Technol, Dept Engn Mech, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Song, Xi,Li, Shi-Rong. Thermal buckling and post-buckling of pinned-fixed Euler-Bernoulli beams on an elastic foundation[J]. MECHANICS RESEARCH COMMUNICATIONS,2007,34(2):164-171.
APA	Song, Xi,&Li, Shi-Rong.(2007).Thermal buckling and post-buckling of pinned-fixed Euler-Bernoulli beams on an elastic foundation.MECHANICS RESEARCH COMMUNICATIONS,34(2),164-171.
MLA	Song, Xi,et al."Thermal buckling and post-buckling of pinned-fixed Euler-Bernoulli beams on an elastic foundation".MECHANICS RESEARCH COMMUNICATIONS 34.2(2007):164-171.