期刊名称：IOP Conference Series: Earth and Environmental Science
印刷版ISSN：1755-1307
电子版ISSN：1755-1315
出版年度：2018
卷号：170
期号：2
页码：022160
DOI：10.1088/1755-1315/170/2/022160
语种：English
出版社：IOP Publishing
摘要：Based on the first-order shear deflection and classical beam theory, the linear bending of functionally graded (FG) beams is analyzed by applying the differential quadrature method (DQM). First, using the principle of total potential energy, the governing equations of the FG beams subjected to a distributed lateral force are derived according to two different beam theories. To calculate the numerical solutions of static linear bending problem, the dimensionless boundary conditions and differential equation which are used to discretize by DQ method. Static deflection curves and load-central deflection curves is generated considering two different beam theories. The influences of the power law index, transverse shear deformation and the distributed lateral force on the linear bending of the FG beams under cinditions of the simply supported and the clamped-clamped boundaries are analytically investigated in detail.
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