@Article{AAMM-16-1039,
author = {Cui , Shitang and Zhang , Yongliang},
title = {Stability Analysis of Axially Functionally Graded Beams using the Differential Quadrature Method},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2024},
volume = {16},
number = {5},
pages = {1039--1055},
abstract = {<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>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2023-0087},
url = {http://global-sci.org/intro/article_detail/aamm/23285.html}
}