On a problem of the vibration of functionally graded conical shells with mixed boundary conditions |
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| Affiliation: | 1. Department of Civil Engineering of Faculty of Engineering of Suleyman Demirel University, Isparta, Turkey;2. Department of Engineering Mathematics, Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey;1. Department of Aerospace Engineering, Sharif University of Technology, Tehran, Iran;2. Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada;3. Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran;4. Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong;1. Mechanical Engineering Department, Islamic Azad University, South Tehran Branch, Tehran, Iran;2. Faculty of Engineering, Shahrekord University, Shahrekord, Iran;3. Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran;1. Department of Civil Engineering of Engineering Faculty of Suleyman Demirel University, 32260 Isparta, Turkey;2. Department of Civil Engineering of Faculty of Engineering and Architecture of Istanbul Gelisim University, Istanbul, Turkey |
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| Abstract: | This paper presents a theoretical approach to solve vibration problems of functionally graded (FG) truncated conical shells under mixed boundary conditions. The material properties of FG shell are assumed to vary continuously through the thickness of the conical shell. The fundamental relations, motion and strain compatibility equations of FG truncated conical shells are derived by means of the Airy stress function method. Two cases of mixed boundary conditions are investigated. The basic equations are solved by using Galerkin method and fundamental cyclic frequencies of FG truncated conical shells are obtained. The results are compared and validated with the results available in the literature. The detailed parametric studies are carried out to investigate the influences of radius-to-thickness ratio, lengths-to-radius ratio, material composition and mixed boundary conditions on the fundamental cyclic frequencies of truncated conical shells. |
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| Keywords: | B Mechanical properties B Vibration C Analytical modeling C Numerical analysis |
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