TY - JOUR
T1 - Stability Analysis of Axially Functionally Graded Beams Using the Differential Quadrature Method
AU - Cui , Shitang
AU - Zhang , Yongliang
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 1039
EP - 1055
PY - 2024
DA - 2024/07
SN - 16
DO - http://doi.org/10.4208/aamm.OA-2023-0087
UR - https://global-sci.org/intro/article_detail/aamm/23285.html
KW - Functionally graded beam, differential quadrature method, buckling, TTO model.
AB - <p style="text-align: justify;">This paper investigates the critical buckling behavior of axially functionally graded (FG) material beams with three end support conditions. The FG materials are assumed to have continuously graded based on a power-law function of the
volume fractions of the constituents. The governing equation for buckling is derived
and solved using the differential quadrature (DQ) method. A comparison between
the results obtained from the DQ method and the analytical approach reveals excellent agreement. The effects of various parameters, such as the gradient index and
boundary conditions, on the critical buckling load is thoroughly analyzed. The findings highlight the efficiency and accuracy of the DQ method for analyzing functionally
graded beams. Moreover, the insights gained from this study can inform the design
and optimization of functionally graded structures.</p>