Differential quadrature method of nonlinear bending of functionally graded beam

doi:10.1088/1757-899X/307/1/012058

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	Differential quadrature method of nonlinear bending of functionally graded beam
	Xu Gangnian 1; Ma Liansheng 2; Wang Youzhi 1; Yuan Quan 1; You Weijie 1
	2018
卷号	307
DOI	10.1088/1757-899X/307/1/012058
英文摘要	Using the third-order shear deflection beam theory (TBT), nonlinear bending of functionally graded (FG) beams composed with various amounts of ceramic and metal is analyzed utilizing the differential quadrature method (DQM). The properties of beam material are supposed to accord with the power law index along to thickness. First, according to the principle of stationary potential energy, the partial differential control formulae of the FG beams subjected to a distributed lateral force are derived. To obtain numerical results of the nonlinear bending, non-dimensional boundary conditions and control formulae are dispersed by applying the DQM. To verify the present solution, several examples are analyzed for nonlinear bending of homogeneous beams with various edges. A minute parametric research is in progress about the effect of the law index, transverse shear deformation, distributed lateral force and boundary conditions.
会议录	INTERNATIONAL CONFERENCE ON MECHANICAL ENGINEERING AND APPLIED COMPOSITE MATERIALS
会议录出版者	IOP PUBLISHING LTD
会议录出版地	DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND
语种	英语
WOS研究方向	Engineering ; Materials Science
WOS记录号	WOS:000446174600058
内容类型	会议论文
源URL	[http://119.78.100.223/handle/2XXMBERH/38406]
专题	理学院
通讯作者	Wang Youzhi
作者单位	1.Shandong Univ, Sch Civil Engn, Jinan 250061, Shandong, Peoples R China 2.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Xu Gangnian,Ma Liansheng,Wang Youzhi,et al. Differential quadrature method of nonlinear bending of functionally graded beam[C]. 见:.