Journal of Science and Technology of Composites

Journal of Science and Technology of Composites

Effect of axial load and internal pressure on the dynamic response of multi-layered composite cylindrical shell under lateral impulse Load

Document Type : Research Paper

Authors
Reza Azarafza
Ali Davar
Faculty of Materials & Manufacturing Technologies, Malek Ashtar University of Technology, Tehran, Iran.
10.22068/jstc.2025.2050693.1911
Abstract
In this paper, the free and forced vibrations of multi-layered composite cylindrical shells under axial load and internal pressure investigated. The equilibrium equations are written based on first-order shear deformation theory of shells. Strain-displacement and curvature-displacement relationships are written based on the first law approximation and by replacing them in the stress-strain relationships, equilibrium equations are obtained in terms of displacement components. Boundary conditions are fixed-free. Displacement components are the product of function of position and time. The function of position components of displacement was considered in the form of double Fourier series. First, the analysis of buckling load and free vibrations of the composite cylindrical shell was performed and the buckling load, natural frequencies were extracted. In forced vibration analysis, the sinusoidal impulse load is applied in the radial direction on a rectangular area. The response function of time is obtained using the results of free vibration and integral convolution. Finally, the effect of axial load, internal pressure and geometrical parameters on the natural frequencies and dynamic response of shell have been investigated. The results show that with the increase of the compressive axial load and the increase of the ratio of length to radius, the natural frequencies decrease and when the compressive axial load on the shell is equal to the critical buckling load, the basic natural frequency will be zero. Also, with the increase of the internal pressure, the critical buckling load and the fundamental natural frequency increase.
Keywords
Free Vibration
Forced Vibration
Axial Load
Internal Pressure
Boundary Condition

Subjects

[1] Jafari, A. A., Khalili, S. M. R., Azarafza, R., “Transient dynamic response of composite circular cylindrical shells under radial impulse load and axial compressive loads,” Thin-Walled Structures, Vol. 43, pp. 1763-1786, 2005.
[2] Khalili, S. M. R., Azarafza, R., Davar, A., “Transient dynamic response of initially stressed composite circular cylindrical shells under radial impulse load,” Composite Structures, Vol. 89, pp. 275-284, 2009.
[3] Lam, K.Y., Loy, C.T., "Influence of boundary conditions and fiber orientation on the natural frequencies of thin orthotropic laminated cylindrical shells", Composite Structures, Vol. 31, pp. 21-30, 1995.
[4] Azarafza, R., Khalili, S. M. R., Jafari, A. A., Davar, A., “Analysis and optimization of laminated composite circular cylindrical shells subjected axial transverse transient dynamic loads,” Thin-Walled Structures, Vol. 47, pp. 970-983, 2009.
[5] Paknejad, R., Ashena Ghasemi, F., Malekzadeh Fard, K., “Dynamic Response of Composite Cylindrical Shell Containing Fluid Subjected to LowVelocity Impact,” In Persian, Journal of Mechanical Engineering of Tabriz University, Vol. 53, No. 1, pp. 51-60, 2023.
[6] Ansaryan, Y., Jafari, A. A., “Investigation of Free and Forced Vibration of a Composite Circular Cylindrical Shell with Internal Fluid,” In Persian, Journal of Solid and Fluid Mechanics, Vol. 7, No. 2, pp. 93-109, 2017.
[7] Amirashjaee-Asalemi, K., Fakhreddini-Najafabadi, S., Taheri-Behrooz, F., “Numerical and Experimental Study of Carbon / Epoxy Composite Laminate Response to Low Velocity Impact,” In Persian, Journal of Science and Technology of Composites, Vol. 8, No. 1, pp. 1461-1472, 2021.
[8] Kian, F., Hekmatifar, M., Toghraie, D., “Analysis of forced and free vibrations of composite porous core sandwich cylindrical shells and FG‑CNTs reinforced face sheets resting on visco‑Pasternak foundation under uniform thermal field,”  Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 42, pp. 1-15, 2020.
[9] Poultangari, R., Nikkhah-Bahramin, M., “ Free and Forced Vibration Analysis of Stepped Circular Cylindrical Shells with Several Intermediate Supports Using an Extended Wave Method; a Generalized Approach “Latin American Journal of Solids and Structures, Vol. 13, pp. 2027-2058, 2016.
[10] AzarAfza, R., MalekzadehFard, K., Golaghapour Kami, M., Pourmoayed, A. R., “Dynamic analysis of cylindrical sandwich shell with orthogonal stiffeners using high-order theory,” In Persian,  AmirKabir J. Mech. Eng., Vol. 53, No, 4, pp. 2473-2492, 2021.
[11] Elena, A. K., Gennadi, I. M., “Free vibrations of a laminated cylindrical shell subjected to nonuniformly distributed axial forces,” Mechanics of Solids, Vol. 41, No. 5, pp. 130-138, 2006.
[12] Davar, A.,  Khalili, S. M. R., Hadavinia, H., “Free Vibrations of Functionally Graded Circular Cylindrical Shells under Internal Pressure,” International Journal Advanced Design and Manufacturing Technology, Vol. 6, No. 4, pp. 49-58, 2013
[13] Wu, J. h., Liu, R. J., Duan, Y., Sun, Y. D., “ Free and forced vibration of fluid-filled laminated cylindrical shell under hydrostatic pressure,” International Journal of Pressure Vessels and Piping, Vol. 202, 2023.
[14] Prado, Z. D., Goncalves, P. B., Paidoussis, M. P., “ Non linear vibration and instabilities of orthotropic cylindrical shell with internal flowing fluid,” International Journal of Mechanical Sciences, Vol. 52, pp. 1437-1457, 2010.
[15] Azarafza, R. Golkar, A. R., Davar, A , “Analytical investigation of Low-Velocity Oblique Impact on Composite Cylindrical Shells”, In Persian, Journal of Science and Technology of Composites, Vol. 7, No. 3, pp. 1106-1119, 2020.
[16] Azarafza, R., Aslanzadeh GoliBeiglo, S., Davar, A., “Analysis of free vibration of laminated composite cylindrical shells with rectangular cutout,” In Persian, Journal of Science and Technology of Composites, Vol. 10, No. 2, pp. 2209 -2196 , 2023. 
[17] Azarafza, R., “Weight and Dynamic Optimization of Laminated Composite Cylindrical Shells,” Ph.D. Thesis, In Persian, Khajeh Nasir Toosi University of Technology, September 2005.
[18] Lee, Y. S., Lee, K. D., "On the dynamic response of laminated circular cylindrical shells under impulse loads", Computers & structures, Vol. 63, No. 1, pp. 149-157, 1997.
 
Journal of Science and Technology of Composites
Volume 11, Issue 4
Winter 2025
Pages 2611-2625