Frequency Analysis of Ring-Stiffened Composite Cylindrical Shell using Experimental, Analytical and Finite Element Methods

Subject Areas : composite materials

Hadi  Salimi ¹ (Department of Mechanical Engineering, Malek Ashtar University of Technology, Tehran, Iran.)
Ali  Davar ² (Composite Research Centre, Malek Ashtar University of Technology, Lavizan, Tehran, Iran.)
Mohsen  Heydari Beni ³ (Department of Mechanical Engineering, Malek Ashtar University of Technology, Tehran, Iran.)
Jafar  Eskandari Jam ⁴ (Composite Research Centre, Malek Ashtar University of Technology, Lavizan, Tehran, Iran.)
Majid  Eskandari Shahraki ⁵ (Department of Aerospace Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.)

Received: 2020-09-03 Accepted : 2020-12-01 Published : 2023-06-01

Keywords: Galerkin Method, Boundary conditions, composite cylindrical shells, reinforcement rings, Free vibration,

Abstract :

In this paper, free vibration of laminated composite cylindrical shells reinforced with circumferential rings, are investigated with experimental, analytical and finite element methods and natural frequencies are obtained. The analysis is carried out for clamp-free and clamp-clamp boundary conditions and the results are compared with each other. To solve the problem, the equilibrium Equations of motions are written according to the classical shells theory and after simplification, the structural stiffness and mass matrices and the frequency Equation are derived using Galerkin method. The results obtained in this paper, are compared with the results available in the literatures, and the results of experimental and finite element methods and good agreement is observed.

References:

• Amabili, M., Nonlinear Vibrations of Laminated Circular Cylindrical Shells: Comparison of Different Shell Theories, Composite Structures, Vol. 94, 2011, pp. 207-220.


• Matsunaga, H., Vibration and Buckling of Cross-Ply Laminated Composite Circular Cylindrical Shells According to A Global Higher-Order Theory, International Journal of Mechanical Sciences, Vol. 49, 2007, pp. 1060-1075.


• Jafari, S. M, Khalili, R., Azarafza, R., Transient Dynamic Response of Composite Circular Cylindrical Shells Under Radial Impulse Load And Axial Compressive Loads, Thin-Walled Structures, Vol. 43, 2005, pp. 1763-1786.


• Hufenbach, W., Holste, C., Kroll, L., Vibration and Damping Behavior of Multi-Layered Composite Cylindrical Shells, Composite Structures, Vol. 58, 2002, pp. 165-174.


• Lam, K. Y., Wu, Q., Free Vibration of Symmetric Angle-Ply Thick Laminated Composite Cylindrical Shells, Composites, Part B, Vol. 31, 2000, pp. 345-354.


• Lam, K. Y., Loy, C. T., Influence of Boundary Conditions for A Thin Laminated Rotating Cylindrical Shell, Composite Structures, Vol. 41, 1998, pp. 215-228.


• Ciancio, P. M., Rossit, C. A., and Laura, P. A. A., Approximate Study of The Free Vibrations of a Cantilever Anisotropic Plate Carrying a Concentrated Mass, Journal of Sound and Vibration, Vol. 302, 2007, pp. 621-628.


• Nallim, L., Grossi, R. O., and Laura, P. A. A., Transverse Vibrations of Circular Plates of Rectangular Orthotropy Carrying a Central, Concentrated Mass, Journal of Sound and Vibration, Vol. 216, No. 2, 1998, pp. 337-341.


• Amabili, M., Pellegrini, M., Righi, F., and Vinci, F., Effect of Concentrated Masses with Rotary Inertia on Vibrations of Rectangular Plates, Journal of Sound and Vibration, Vol. 295, 2006, pp. 1-12.


• Khalili, S. M. R., Tafazoli, S., and Malekzadeh Fard, K., Free Vibrations of Laminated Composite Shells with Uniformly Distributed Attached Mass Using Higher Order Shell Theory Including Stiffness Effect, Journal of Sound and Vibration, Vol. 330, 2011, pp. 6355-6371.


• Jafari, A. A., Bagheri, M., Free Vibration of Non-Uniformly Ring Stiffened Cylindrical Shells Using Analytical, Experimental and Numerical Methods, Thin-Walled Structures, Vol. 44, No. 1, 2006, pp. 82-90.


• Kim, Y. W., Lee, Y. S., Transient Analysis of Ring-Stiffened Composite Cylindrical Shells with Both Edges Clamped, Journal of Sound and Vibration, Vol. 252, No.1, 2002, pp. 1-17.


• Qatu, M. S., Vibration of Laminated Shells and Plates, Elsevier, 2004.


• Kaw, K., Mechanics of Composite Materials, Second Edition, Published by CRC Press, 2006.


• Reddy, J. N., Mechanics of Laminated Composite Plates and Shells Theory and Analysis, Second Edition, Published by CRC Press, 2003.


• Soedel, W., Vibrations of Shells and Plates, Third Edition, Published by Marcel Dekker, 2004.