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Volume 16, Issue 5
Stability Analysis of Axially Functionally Graded Beams Using the Differential Quadrature Method

Shitang Cui & Yongliang Zhang

Adv. Appl. Math. Mech., 16 (2024), pp. 1039-1055.

Published online: 2024-07

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  • Abstract

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.

  • AMS Subject Headings

74G15

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COPYRIGHT: © Global Science Press

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@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 = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2023-0087}, url = {http://global-sci.org/intro/article_detail/aamm/23285.html} }
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 -

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.

Shitang Cui & Yongliang Zhang. (2024). Stability Analysis of Axially Functionally Graded Beams Using the Differential Quadrature Method. Advances in Applied Mathematics and Mechanics. 16 (5). 1039-1055. doi:10.4208/aamm.OA-2023-0087
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