Geometrically nonlinear model and numerical simulation of elastic curved beams subjected to mechanical and thermal loads

IR > 土木工程学院

	Geometrically nonlinear model and numerical simulation of elastic curved beams subjected to mechanical and thermal loads
	Li, Shi-Rong 1; Zhou, Feng-Xi2
	2008-02-01
发表期刊	Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics
ISSN	10074708
卷号	25 期号:1 页码:25-28
摘要	Based on an exact geometrically nonlinear theory of Euler-Bernoulli beams, geometrically nonlinear static equilibrium governing equations of the large deformation of elastic curved beams under mechanical and thermal loads are derived. The equations contain seven independent unknown functions such as the arc length, the displacements of the central line, the rotational angle and the resultant internal forces at a cross section. By introducing the deformed arc length as one of the unknown functions, it makes the range of the spatial variables of the problem still within the undeformed length of the beam. In the mathematical model, the effects of the axial elongation, the initial curvature, and the stretching-bending coupling on the beam deformation are accurately taken into account. As a numerical example, nonlinear bending of a semicircle beam subjected to transversely uniform temperature rise is studied by shooting method. The influence of axial extension on the deformation of curved beam is compared with that being neglected through numerical results.
关键词	Bending (deformation) Computer simulation Deformation Dynamic loads Elongation Geometry Mathematical models Nonlinear systems Stretching Thermal load Elastic beam Euler-Bernoulli beams Follower force Geometric nonlinearity Shooting method Stretching bending coupling
收录类别	EI
语种	中文
出版者	Science Press, 18,Shuangqing Street,Haidian, Beijing, 100085, China
EI入藏号	20081311171027
EI主题词	Beams and girders
EI分类号	408.2 Structural Members and Shapes - 421 Strength of Building Materials ; Mechanical Properties - 723.5 Computer Applications - 921 Mathematics - 931.1 Mechanics
来源库	Compendex
分类代码	408.2 Structural Members and Shapes - 421 Strength of Building Materials; Mechanical Properties - 723.5 Computer Applications - 921 Mathematics - 931.1 Mechanics
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/111789
专题	土木工程学院
作者单位	1.School of Sciences, Lanzhou University of Technology, Lanzhou 730050, China; 2.School of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China
第一作者单位	理学院
第一作者的第一单位	理学院
推荐引用方式 GB/T 7714	Li, Shi-Rong,Zhou, Feng-Xi. Geometrically nonlinear model and numerical simulation of elastic curved beams subjected to mechanical and thermal loads[J]. Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics,2008,25(1):25-28.
APA	Li, Shi-Rong,&Zhou, Feng-Xi.(2008).Geometrically nonlinear model and numerical simulation of elastic curved beams subjected to mechanical and thermal loads.Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics,25(1),25-28.
MLA	Li, Shi-Rong,et al."Geometrically nonlinear model and numerical simulation of elastic curved beams subjected to mechanical and thermal loads".Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics 25.1(2008):25-28.