Flexural vibrations of geometrically nonlinear composite beams with interlayer slip

Abstract

This paper addresses moderately large vibrations of immovably supported three-layer composite beams. The layers of these structural members are elastically bonded, and as such, subjected to interlayer slip when excited. To capture the moderately large response, in the structural model a nonlinear axial straindisplacement relation is implemented. The Euler-Bernoulli kinematic assumptions are applied layerwise, and a linear interlaminar slip law is utilized. Accuracy and efficiency of the resulting nonlinear beam theory are validated by selective comparative plane stress finite element calculations. The outcomes of application examples demonstrate the grave effect of interlayer slip on the geometrically nonlinear dynamic response characteristic of layered beams.

Moderately large deflection of slightly curved layered beams with interlayer slip

“…The analysis of the geometrically nonlinear response of beams with interlayer slip, on the other hand, is the subject of only a small number of publications (e.g., [6,15]). Recently, the authors of this paper presented a theory for analyzing the geometrically nonlinear static and dynamic response of beams with interlayer slip, whose supports are fixed [1,2]. A small initial deflection, intentional or due to an imperfection of the structural element, also changes the response.…”