Computational Modeling of Functionally Graded Beams: A Novel Approach
| dc.contributor.author | Özmen U. | |
| dc.contributor.author | Özhan B.B. | |
| dc.date.accessioned | 2024-07-22T08:03:58Z | |
| dc.date.available | 2024-07-22T08:03:58Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | Aim: A novel computational approach is propounded to model the material gradation of a functionally graded Euler–Bernoulli beam using Ansys Workbench, the finite element method-based software. Novelty: Contrary to layer-by-layer modeling approaches to express functional material gradation for different structures in the literature, the new approach states a continuous variation of the material gradation obeying gradation laws (e.g., power-law). Method: The new approach is applied to the computational free vibration analyses of functionally graded beams. Three types of functionally graded beams are investigated: (1) One-directional beam with a uniform cross section. (2) One-directional beam with a non-uniform cross section. (3) Bi-directional beam with a uniform cross section. Power-law and exponential-law types mathematical expressions are used in modeling the material gradation of functionally graded beams. Results: The finite element results of free vibration analyses for each beam are obtained. The results are compared with the analytical results from the literature [Lee and Lee, Int J Mech Sci 122:1–17; Sinir et al., Compos Part B Eng 148:123–131; Karamanli, Anadolu Univ J Sci Technol A Appl Sci Eng https://doi.org/10.18038/aubtda.361095; Simsek, Compos Struct 133:968–978] to present the accuracy of the novel approach. Several support conditions are investigated. The effects of the gradient indices (power-law and exponential-law indices) on the natural frequencies of the beams are discussed. © 2022, Krishtel eMaging Solutions Private Limited. | |
| dc.identifier.DOI-ID | 10.1007/s42417-022-00515-x | |
| dc.identifier.issn | 25233920 | |
| dc.identifier.uri | http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/12515 | |
| dc.language.iso | English | |
| dc.publisher | Springer | |
| dc.title | Computational Modeling of Functionally Graded Beams: A Novel Approach | |
| dc.type | Article |