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

abstract

• 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.

authors

• Reddy, Junuthula

published proceedings

• INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

author list (cited authors)

• Amabili, M., & Reddy, J. N.

citation count

• 140

complete list of authors

• Amabili, M||Reddy, JN

publication date

• May 2010

publisher

• Elsevier  Publisher

published in

• International Journal of Non-Linear Mechanics  Journal

keywords

• Nonlinear Theory
• Nonlinear Vibrations
• Rotary Inertia
• Shear Deformation
• Shells
• Vibrations

Digital Object Identifier (DOI)

• 10.1016/j.ijnonlinmec.2009.12.013

start page

• 409

end page

• 418

volume

• 45

issue

• 4

URL

• http://dx.doi.org/10.1016/j.ijnonlinmec.2009.12.013