A numerical investigation on vibration analysis of fiber reinforced and truncated conical hollow shells with different fiber orientations

Öz

Truncated conical shells have been extensively used in a wide range of engineering applications due

to their special geometric shapes, and their vibration properties have been interested by many researchers in recent

years. In this study, vibration analysis of truncated conical hollow shells constructed from the fiber reinforced

carbon/epoxy composites was investigated for different fiber orientation angles ([0o/90o], [15o/-75o], [30o/-60o], and

[45o/-45o]). Finite element analysis (FEA) was performed by using ABAQUS software for prediction of natural

frequencies and mode shapes within the extended frequency range. Natural frequency values were determined

for constant semi-vertex angle of the conical structure (45o), and boundary conditions of clamped-clamped

(C-C), simply supported-simply supported (S-S) and clamped-free (C-F). It is concluded that natural frequency has

been significantly affected by boundary conditions while it has been little effected by fiber orientation angle those

effecting on mode shapes associated with natural frequencies.

Anahtar Kelimeler

• Conical hollow shells,FEA,carbon fiber,fiber orientation angle,natural frequency

Kaynakça

1. Abaqus/CAE User's Guide, 2011. Dassault Systèmes Simulia Corp., Providence, RI, USA,
2. Akbari, M., Kiani, Y., Aghdam, M.M. and Eslami, M.R, 2014. Free vibration of FGML évy conical panels, Compos. Struct., 116:732–46.
3. Chang CH, 1978. Membrane vibrations of conical shells. Journal of Sound and Vibration, 60:335–343
4. Civalek Ö, 2013. Vibration analysis of laminated composite conical shells by the method of discrete singular convolution based on the shear deformation theory. Compos PartB: Eng., 45:1001–1009.
5. Dey S, Karmakar A, 2012. Natural frequencies of delaminated composite rotating conical shells—A finite element approach, Finite Elements in Analysis and Design 56:41–51.
6. Erkliğ A, Bulut M, Yeter E, 2014. The effect of hybridization and boundary conditions on damping and free vibration of composite plates, Science and Engineering of Composite Materials, 22(5):565-571.
7. Fares ME, Youssif YG, Alamir AE, 2004. Design and control optimization of composite laminated truncated conical shells for minimum dynamic response including transverse shear deformation, Composite Structures, 64:139–150.
8. Feng-Ming Li, Kikuo K, Wen-Hu H, 2009. The calculations of natural frequencies and forced vibration responses of conical shell using the Rayleigh–Ritz method, Mechanics Research Communications, 36:595–602.

9. Goldberg JE, Bogdanoff JL, Marcus L, 1960. On the calculation of the axisymmetric modes and frequencies of conical shells. The Journal of the Acoustical Society of America, 32, 738–742.
10. Goldberg EJ, Bogdanoff JL, Marcus L, 1960. On the calculation of the axisymmetric modes and frequencies of conical shells. J. Acoust. Soc. Amer., 32:738–42.
11. Guoyong J, Xianglong M, Shuangxia S, Tiangui Y, Zhigang L, 2014. A modified Fourier series solution for vibration analysis of truncated conical shells with general boundary conditions, Applied Acoustics, 85:82–96.
12. Hu HT, Chen PJ, 2015. Maximization of fundamental frequencies of axially compressed laminated truncated conical shells against fiber orientation, Thin-Walled Structures, 97:54–170.
13. Irie T, Yamada G, Kaneko Y, 1984. Natural frequencies of truncated conical shells, Journal of Sound and Vibration, 92:447–53.
14. Irie T, Yamada, G, Kaneko Y, 1982. Free vibration of a conical shell with variable thickness, Journal of Sound and Vibration, 82:83–94.
15. Khatri KN, Asnani NT, 1995. Vibration and damping analysis of multilayered conical shells, Composite Structures, 33:143–157.
16. Lam KY, Li H, 1999. Influence of boundary conditions on the frequency characteristics of a rotating truncated circular conical shell, Journal of Sound and Vibration, 223:171-195.
17. Lam KY, Li H, 1999. Influence of boundary conditions on the frequency characteristics of a rotating truncated circular conical shell. Journal of Sound and Vibration, 223:171–195.
18. Liew KM, Ng TY, Zhao X, 2005. Free vibration analysis of conical shells via the element-free kp-Ritz method, Journal of Sound and Vibration, 281:627–645.
19. Li H, 2000. Frequency analysis of rotating truncated circular orthotropic conical shells with different boundary conditions, Composites Science and Technology, 60:2945–2955.
20. Liew KM, Ng TY, Zhao X, 2005. Free vibration analysis of conical shells via the element-free kp-Ritz method. Journal of Sound and Vibration, 281:627–645
21. Malekzadeh P, Daraie M, 2014. Dynamic analysis of functionally gradedt runcated conical shells subjected to asymmetric moving loads, Thin-Walled Structures, 84:1–13.
22. Qin Z, Chu F, Zu J, 2017. Free vibrations of cylindrical shells with arbitrary boundary conditions: A comparison study, International Journal of Mechanical Sciences 133:91–99.
23. Sivadas KR, Ganesan N, 1992. Vibration analysis of thick composite clamped conical shells of varying thickness, Journal of Sound and Vibration, 152: 27–37.
24. Xiang X, Guoyong J., Wanyou L., Zhigang L, 2014. A numerical solution for vibration analysis of composite laminated conical, cylindrical shell and annular plate structures. Composite Structures, 111:20–30
25. Viswanathan KK, Saira J, Kandasamy P, Aziz ZA, Izliana AB, 2015. Free vibration of anti-symmetric angle-ply laminated conical shells. Composite Structures, 122:488–495.