Definitions
A shell structure is a three-dimensional body bounded by two closely spaced curved surfaces, where the distance between the two surfaces is small compared to the other dimensions. The middle surface of the shell is the locus of the points that lie midway between these surfaces. The distance between the surfaces, measured along the normal to the middle surface, is the thickness of the shell at that point.
Layered structures are composite structures made up of several layers or laminae that are perfectly bonded together. Each lamina is composed of fibers embedded in a matrix. These fibers are produced according to a specific technological process that confers them high mechanical properties in the longitudinal direction. The matrix has the role of holding the fibers together.
Introduction
Shell structures are widely employed in various aerospace, automotive, mechanical, and marine engineering...
References
Callahan J, Baruh H (1999) A closed-form solution procedure for circular cylindrical shell vibrations. Int J Solids Struct 36:2973–3013
Das YC (1964) Vibrations of orthotropic cylindrical shells. Appl Sci Res 12(4-5):17–26
Dong SB (1968) Free vibrations of laminated orthotropic cylindrical shells. J Acoust Soc Am 44:1628–1635
Fazzolari FA (2016) Reissner’s mixed variational theorem and variable kinematics in the modelling of laminated composite and FGM doubly-curved shells. Compos Part B Eng 89:408–423
Fazzolari FA, Banerjee JR (2014) Axiomatic/asymptotic PVD/RMVT-based shell theories for free vibrations of anisotropic shells using an advanced Ritz formulation and accurate curvature descriptions. Compos Struct 108:91–110
Fazzolari FA, Carrera E (2013) Advances in the Ritz formulation for free vibration response of doubly-curved anisotropic laminated composite shallow and deep shells. Compos Struct 101:111–128
Ferreira AJM, Roque CMC, Jorge RMN (2006) Static and free vibration analysis of composite shells by radial basis fucntions. Eng Anal Bound Elem 30:719–733
Ferreira AJM, Carrera E, Cinefra M, Roque CMC (2011a) Analysis of laminated doubly-curved shells by a layerwise theory and radial basis functions collocation, accounting for through-the-thickness deformations. Comput Mech 48:13–25
Ferreira AJM, Castro LM, Bertoluzza S (2011b) A wavelet collocation approach for the analysis of laminated shells. Compos Part B Eng 42:99–104
Folsberg K (1964) Influence of boundary conditions on the modal characteristics of thin cylindrical shells. AIAA J 2(12):2150–2157
Liew KM, Lim CW (1995) A Ritz vibration analysis of doubly-curved rectangular shallow shells using a refined first-order theory. Comput Methods Appl Mech Eng 127:145–162
Liu B, Xing YF, Qatu MS, Ferreira AJM (2012) Exact characteristic equations for free vibrations of thin orthotropic circular cylindrical shells. Compos Struct 94(2):484–493
Qatu MS (1999) Accurate equations for laminated composite deep thick shells. Int J Solids Struct 36(19):2917–2941
Qatu MS (2004) Vibration of laminated shells and plates, 1st edn. Elsevier Accademic Press, The Netherlands
Qatu MS, Rani WS, Wenchao W (2010) Recent research advances on the dynamic analysis of composite shells: 2000–2009. Compos Struct 93(1):14–31
Soedel W (1983) Simplified equations and solutions for the vibration of orthotropic cylindrical shells. J Sound Vib 87(4):555–566
Soldatos KP, Messina A (2001) The influence of boundary conditions and transverse shear on vibration of angle-ply laminated plates, circular cylinders and cylindrical panels. Comput Methods Appl Mech Eng 190:2385–2409
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Section Editor information
Rights and permissions
Copyright information
© 2018 Springer-Verlag GmbH Germany, part of Springer Nature
About this entry
Cite this entry
Fazzolari, F.A. (2018). Quasi-3D Vibration Analysis of Laminated Composite Shells. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_91-1
Download citation
DOI: https://doi.org/10.1007/978-3-662-53605-6_91-1
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-53605-6
Online ISBN: 978-3-662-53605-6
eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering