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Steel and Composite Structures Volume 36, Number 1, July 10 2020 , pages 87-101 DOI: https://doi.org/10.12989/scs.2020.36.1.087 |
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Investigating nonlinear forced vibration behavior of multi-phase nanocomposite annular sector plates using Jacobi elliptic functions |
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Seyed Sajad Mirjavadi, Masoud Forsat, Mohammad Reza Barati and A.M.S. Hamouda
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| Abstract | ||
| A multi-scale epoxy/CNT/fiberglass annular sector plate is studied in this paper in the view of determining nonlinear forced vibration characteristics. A 3D Mori-Tanaka model is employed for evaluating multi-scale material properties. Thus, all of glass fibers are assumed to have uni-direction alignment and CNTs have random diffusion. The geometry of annular sector plate can be described based on the open angle and the value of inner/outer radius. In order to solve governing equations and derive exact forced vibration curves for the multi-scale annular sector, Jacobi elliptic functions are used. Obtained results demonstrate the significance of CNT distribution, geometric nonlinearity, applied force, fiberglass volume, open angle and fiber directions on forced vibration characteristics of multi-scale annular sector plates. | ||
| Key Words | ||
| forced vibration; annular sector; annular plate; nano-composite material; multi-scale composite | ||
| Address | ||
| Seyed Sajad Mirjavadi and A.M.S. Hamouda: Department of Mechanical and Industrial Engineering, Qatar University, P.O. Box 2713, Doha, Qatar; Masoud Forsat: Department of Civil and Architectural Engineering, Qatar University, Doha, Qatar; Mohammad Reza Barati: Fidar project Qaem Company, Darvazeh Dolat, Tehran, Iran | ||