Low-frequency vibrations of a thin-walled functionally graded cylinder (plane strain problem)

Ege, Nihal; Erbas, Baris; Kaplunov, Julius; Noori, Noorullah

Abstract

Low frequency vibrations of a thin walled functionally graded cylinder are considered within the plane strain framework. The dynamic relations in elasticity are subject to asymptotic analysis over cylinder cross section resulting in a consistent approximate equation of motion on the mid-surface. A simple explicit formula for natural frequencies emerging from the derived equation is validated by comparison with previous numerical predictions. The formula demonstrates that the ratio of the natural frequencies for functionally graded and homogeneous cylinders does not depend upon the mode number. Useful expressions for the variation of all stress components across the thickness are also obtained.

Citation

Ege, N., Erbas, B., Kaplunov, J., & Noori, N. (2022). Low-frequency vibrations of a thin-walled functionally graded cylinder (plane strain problem). Mechanics of Advanced Materials and Structures, https://doi.org/10.1080/15376494.2022.2028948

• Journal Article Type: Article
• Acceptance Date: Jan 10, 2022
• Online Publication Date: Jan 16, 2022
• Publication Date: Mar 3, 2022
• Deposit Date: Jun 5, 2023
• Journal: MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
• Print ISSN: 1537-6494
• Publisher: Taylor and Francis
• Peer Reviewed: Peer Reviewed
• DOI: https://doi.org/10.1080/15376494.2022.2028948