This paper describes a procedure for taking into account distributed loads in the calculation of the harmonic response of a cross-ply laminated circular cylindrical shell subjected to internal pressure using the dynamic stiffness method. Based on the first order shear deformation theory founded on love’s first approximation theory the dynamic stiffness matrix has been built from which natural frequencies are easily calculated. The vibration analysis is then validated with numerical examples to determine the performance of this model and the effect of presetress on the frequency spectrum. The response of the system is determined with applied equivalent loads on element boundaries. The described approach has many advantages compared to the finite element method, such as reducing the computing time with a minimum model size and higher precision.
This is a preview of subscription content, log in to check access.
Fung YC (1955) On the vibration of thin cylindrical shells under internal pressure. The Ramo-Wooldridge Corporation - guided missile research division; Report No AM 5–8Google Scholar
Fung YC, Sechler EE, Kaplan A (1957) On the vibration of thin cylindrical shells under internal pressure. J Aer Sci 24(9):650–660MathSciNetCrossRefGoogle Scholar
Hu XJ, Redekop D (2004) Prestressed vibration analysis of a cylindrical shell with an oblique end. J Sound Vib 277:429–435CrossRefGoogle Scholar
Khalili SMR, Azarafza R, Davar A (2009) Transient dynamic response of initially stressed composite circular cylindrical shells under radial impulse load Compos Struct 89(2):275–84Google Scholar
Leissa AW (1973) Vibration of shells, washington DC: NASA SP-288Google Scholar
Casimir JB, Khadimallah MA, Nguyen MC (2016) Formulation of the dynamic stiffness of a cross-ply laminated circular cylindrical shell subjected to distributed loads. Comput Struct 166:42–50CrossRefGoogle Scholar
Harbaoui I et al (2018) A new prestressed dynamic stiffness element for vibration analysis of thick circular cylindrical shells. Int J Mech Sci 140:37–50CrossRefGoogle Scholar
Tj GH, Mikami T, Kanie S, Sato M (2006) Free vibration characteristics of cylindrical shells partially buried in elastic foundations. J Sound Vib 290:78593CrossRefGoogle Scholar
Thinh Nguyen (2013) Dynamic stiffness matrix of continuous element for vibration of thick cross-ply laminated composite cylindrical shells. Compos Struct 98(2013):93–102CrossRefGoogle Scholar