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

By M. Amabili, J. Reddy. 2010

192 citations recorded by the source corpus.

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 Karman type. Results show that inaccurate results are obtained by keeping only non-linear terms of the von Karman type for vibration amplitudes of about two times the shell thickness for the studied case.

Subfields: Civil and Structural Engineering, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/034ca78dff3fe4c9188d847f0d391a38c1aa9bea

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In Civil and Structural Engineering

In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

Non-linear vibrations of shells: A literature review from 2003 to 2013 (2014, methodology): “Recently, Amabili [27] extended the theory of [24] by adding the thickness stretching effect and taking into account the geo metric imperfections.”