Comparison between the frequencies of FML and composite cylindrical shells using beam modal function model

Document Type : Research Paper

Authors

Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, 87317-53153, Iran.

Abstract

A comparison between the vibration of fiber-metal laminate (FML) and composite cylindrical shells has been studied in this manuscript. Love’s first approximation shell theory has been applied to obtain Strain-displacement relations. In addition, beam modal function model has been used to analyze the cylindrical shell with different boundary conditions. In this manuscript, the frequencies of FML and composite cylindrical shells have been compared to each other for different materials, lay-ups, boundary conditions, axial and circumferential wave numbers. The most commercially available FMLs are CARALL (carbon reinforced aluminium laminate), and GLARE (glass reinforced aluminium laminate), which are studied in this research. The results showed although the frequencies of carbon/epoxy are greater than glass/epoxy for all of the n, this process is not constant for FML. Also, with increasing the n, the frequencies of FML cylindrical shells are converged more faster than the composite one. Moreover, the frequencies of both boundary conditions are converged with increasing n for both FML and composite cylindrical shells.

Keywords

Main Subjects

1.             Ghasemi A.R., Taheri-‌Behrooz F., Farahani S.M.N., Mohandes M., 2016, Nonlinear free vibration of an Euler-Bernoulli composite beam undergoing finite strain subjected different boundary conditions, Journal of Vibration and Control 22(3): 799-811.
2.             Mohandes M., Ghasemi A.R., 2016, Finite strain analysis of nonlinear vibrations of symmetric laminated composite Timoshenko beams using generalized differential quadrature method, Journal of Vibration and Control 22(4): 940-954.
3.             Ghasemi A.R., Mohandes M., 2017, Nonlinear free vibration of laminated composite Euler-‌Bernoulli beams based on finite strain using GDQM, Mechanics of Advanced Materials and Structures  24(11): 917-923.
4.             Ghasemi A.R., Mohandes M., 2017, Modified couple stress theory and finite strain assumption for nonlinear free vibration and bending of micro/nanolaminated composite Euler–Bernoulli beam under thermal loading, Part C: Journal of Mechanical Engineering Science 231(21): 4044-4056.
5.             Goodarzi M., Nikkhah Bahrami M., Tavaf V., 2017, Refined plate theory for free vibration analysis of FG nanoplates using the nonlocal continuum plate model, Journal of Computational Applied Mechanics 48(1): 123-136.
6.             Shishesaz M., Kharazi M., Hosseini P., Hosseini M., 2017, Buckling Behavior of Composite Plates with a Pre-central Circular Delamination Defect under in-Plane Uniaxial Compression, Journal of Computational Applied Mechanics 48(1): 111-122.
7.             Fazzolari F.A., 2014, A refined dynamic stiffness element for free vibration analysis of cross-ply laminated composite cylindrical and spherical shallow shells, Composites Part B: Engineering 62: 143-158.
8.             Sofiyev A.H., Kuruoglu N., 2014, Buckling and vibration of shear deformable functionally graded orthotropic cylindrical shells under external pressures, Thin-Walled Structures  78: 121-130.
9.             Ghorbanpour Arani A., Haghparast E., Khoddami Maraghi Z., 2015, Vibration analysis of double bonded composite pipe reinforced by BNNTs conveying oil, Journal of Computational Applied Mechanics 46: 93-105.
10.          Xie X., Jin G., Yan Y., Shi S.X., Liu Z., 2014, Free vibration analysis of composite laminated cylindrical shells using the Haar wavelet method, Composite Structures 109: 169-177.
11.          Song Z.G., Zhang L.W., Liew K.M., 2016, Vibration analysis of CNT-reinforced functionally graded composite cylindrical shells in thermal environments, International Journal of Mechanical Sciences 115-116: 339-347.
12.          Ansari R., Torabi J., 2016, Numerical study on the buckling and vibration of functionally graded carbon nanotube-reinforced composite conical shells under axial loading, Composites Part B: Engineering 95: 196-208.
13.          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.
14.          Tornabene F., Fantuzzi N., Bacciocchi M., Dimitri R., 2015, Free vibrations of composite oval and elliptic cylinders by the generalized differential quadrature method, Thin-Walled Structures, 97: 114-129.
15.          Bidgoli A.M.M., Heidari-Raran M., 2016, Axial buckling response of fiber metal laminate circular cylindrical shells, Structural Engineering and Mechanics 57(1): 45-63.
16.          Mohandes M., Ghasemi A.R., Irani-Rahagi M., Torabi K., Taheri-Behrooz F., 2017, Development of beam modal function for free vibration analysis of FML circular cylindrical shells, Journal of Vibration and Controldoi: 10.1177/1077546317698619.
17.          Ghasemi A.R., Mohandes M., 2017, Free vibration analysis of rotating fiber–metal laminate circular cylindrical shells, Journal of Sandwich Structures and Materials doi: 10.1177/1099636217706912.
18.          Lam K.Y., Loy C.T., 1995, Analysis of rotating laminated cylindrical shells by different shell theories, Journal of Sound and Vibration 186(1): 23-35.
Volume 50, Issue 2
December 2019
Pages 239-245
  • Receive Date: 24 November 2017
  • Revise Date: 07 January 2018
  • Accept Date: 08 January 2018