%0 Journal Article
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%T ANALOGOUS TRANSFORMATION OF STATIC AND DYNAMIC SOLUTIONS BETWEEN FUNCTIONALLY GRADED MATERIAL BEAMS AND UNIFORM BEAMS
%D 2010
%R 10.6052/1000-0879-lxysj2010-031
%J Mechanics in Engineering
%P 45-49
%V 32
%N 5
%X Based on the theory of Euler-Bernoulli beams, the bending, buckling and free
vibration of functionally graded material (FGM) beams were analyzed. By
comparing the governing equations of functionally graded material beams and
uniform beams, an analogous transform relation between the solution of FGM beam
and that of uniform beam were obtained. If the material properties of
FGM beam can be expressed in power functions in the lateral direction,
the transformation
factors between the solutions of the two kinds of beams were derived in
analytical forms, which reflect the non-uniform properties of the
functionally graded material beams. Therefore, the solution of static and dynamic
problems of FGM beams can be transformed to that of a uniform beam and
the calculation of the transformation factors under the same loadings and boundary
conditions. This method can provide a simple and convenient approach in
analysis of non-uniform beams and find applications in engineering.
%U http://lxsj.cstam.org.cn/EN/10.6052/1000-0879-lxysj2010-031