A new non-linear higher-order shear deformation theory for large-amplitude vibrations of laminated doubly curved shells Academic Article uri icon


  • A consistent higher-order shear deformation non-linear theory is developed for shells of generic shape, taking geometric imperfections into account. The geometrically non-linear strain-displacement relationships are derived retaining full non-linear terms in the in-plane displacements; they are presented in curvilinear coordinates in a formulation ready to be implemented. Then, large-amplitude forced vibrations of a simply supported, laminated circular cylindrical shell are studied (i) by using the developed theory, and (ii) keeping only non-linear terms of the von Krmn type. Results show that inaccurate results are obtained by keeping only non-linear terms of the von Krmn type for vibration amplitudes of about two times the shell thickness for the studied case. 2010 Elsevier Ltd. All rights reserved.

published proceedings


author list (cited authors)

  • Amabili, M., & Reddy, J. N.

citation count

  • 140

complete list of authors

  • Amabili, M||Reddy, JN

publication date

  • May 2010