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- W4293104585 abstract "In this article, we analyze the effect of transverse cracks on the natural frequencies of Euler–Bernoulli functionally graded beam, the studied beam was Discretized into finite elements and the global matrices of the governing equation of motion are determined applying the Lagrange's equation on the kinetic and strain energies of the beam. The material properties are considered vary in the both; thickness and width; directions of the beam, the gradation is described by the power–law distribution, the stiffness of the cracked element is determined based on the reduction of the cross section of the beam. The numerical results obtained are compared with those available in previous study. Finally, case studies were conducted to analyze the influence of power law index, depth, and crack location on the natural frequencies of the beam for different boundary conditions; these studies demonstrate the advantage of the bidirectional FG beam over to the pure metallic and unidirectional FG beams." @default.
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- W4293104585 date "2022-08-25" @default.
- W4293104585 modified "2023-10-02" @default.
- W4293104585 title "Study of crack’s effect on the natural frequencies of bi-directional functionally graded beam" @default.
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- W4293104585 doi "https://doi.org/10.1080/15397734.2022.2113408" @default.
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