Computational Modeling of Functionally Graded Beams: A Novel Approach
| dc.contributor.author | Özmen, U | |
| dc.contributor.author | Özhan, BB | |
| dc.date.accessioned | 2024-07-18T11:46:24Z | |
| dc.date.available | 2024-07-18T11:46:24Z | |
| 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 haps://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. | |
| dc.identifier.issn | 2523-3920 | |
| dc.identifier.other | 2523-3939 | |
| dc.identifier.uri | http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/2698 | |
| dc.language.iso | English | |
| dc.publisher | SPRINGER HEIDELBERG | |
| dc.subject | FREE-VIBRATION ANALYSIS | |
| dc.subject | FORCED VIBRATION | |
| dc.title | Computational Modeling of Functionally Graded Beams: A Novel Approach | |
| dc.type | Article |