Numerical solution of bending problem of a FGM cantilever beam with large deformation

doi:10.4028/www.scientific.net/AMR.160-162.503

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	Numerical solution of bending problem of a FGM cantilever beam with large deformation
	Li, Qing-Lu; Li, Shi-Rong
	2011
会议日期	January 15, 2011 - January 16, 2011
会议地点	Xi'an, China
关键词	Bending (deformation) Cantilever beams Control nonlinearities Nanocantilevers Numerical methods Pile foundations Extensible beam FGM Large deformations Numerical solution Shooting methods
卷号	160-162
DOI	10.4028/www.scientific.net/AMR.160-162.503
页码	503-506
英文摘要	Nonlinear bending problem of FGM cantilever beam under distributed load are discussed in this paper. Based on the large deformation theory and considering the axial extension of the beam, the equilibrium equations with geometric nonlinearity of a FGM beam subjected to distributed load are established. They consist of a boundary value problem of ordinary differential equations with strong non-linearity, in which seven unknown functions are included and the arc length of the deformed axis is considered as one of the basic unknown functions. By using shooting method and analytical continuation, the nonlinear boundary-value problem is numerically solved as well as the non-linear bending characteristic curves of the deformed beam versus the load are presented.
会议录	Advanced Materials Research
会议录出版者	Trans Tech Publications, P.O. Box 1254, Clausthal-Zellerfeld, D-38670, Germany
语种	英语
ISSN号	10226680
内容类型	会议论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/116179]
专题	理学院
作者单位	Department of Engineering Mechanics, Lanzhou University of Technology, China
推荐引用方式 GB/T 7714	Li, Qing-Lu,Li, Shi-Rong. Numerical solution of bending problem of a FGM cantilever beam with large deformation[C]. 见:. Xi'an, China. January 15, 2011 - January 16, 2011.