A comparison of shell theories for large-amplitude vibrations of circular cylindrical shells: Lagrangian approach

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Non-linear vibrations of shells: A literature review from 2003 to 2013 (2014, methodology): “Amabili [57] compared the numerical results obtained from Donnell's non linear theory (with and without in plane inertia) with Sanders Koiter, Flügge Lur'e Byrne and Novozhilov's theories following a Lagrangian approach.”
A new non-linear higher-order shear deformation theory for large-amplitude vibrations of laminated doubly curved shells (2010, background): “Moreover, the von Kármán type non-linear terms are known for being accurate for classical shell theories only for small displacements and moderately small rotations, as shown by Amabili [12] in case of vibrations.”
Recent research advances on the dynamic analysis of composite shells: 2000-2009 (2010, methodology): “To validate calculations and models, experimental data is used by Amabili [72,175] to investigate large amplitude vibrations of circular cylindrical shells.”