Effects of lattice stiffeners and blast load on nonlinear dynamic response and vibration of auxetic honeycomb plates

Abstract

In this paper, the effects of lattice stiffeners and blast load on nonlinear dynamic response and vibration of auxetic sandwich honeycomb plates on Pasternak elastic foundations are considered. The remarkable point of this study is that the outer surfaces of the system reinforced by lattice stiffeners (including orthogonal stiffeners and oblique stiffeners) are made of functionally graded materials. Based on the analytical solution, the Reddy’s FSDT, the Airy’s stress functions, the Galerkin and the fourth-order Runge-Kutta methods, fundamental frequency, dynamic response and frequency–amplitude curves of the plates reinforced by lattice stiffeners under blast and mechanical loads are determined. Then, the result analyses the effect of lattice stiffeners, blast and mechanical loads, elastic foundations on nonlinear dynamic response and vibration of auxetic honeycomb plates. The optimal angle of oblique stiffeners which maximizes natural frequency and contemporaneously minimizes amplitude when changing geometrical parameters of auxetic honeycomb is also determined.

Dynamic Analysis of Eccentrically Stiffened Sandwich Thick Plates with Auxetic Honeycomb Core and GPL-RC Face Layers under Blast Loading

“…The functions of nondimensional thickness coordinate and elastic modulus of the auxetic layer are calculated by [13,14]…”

Modeling of single-lap joints with auxetic adhesive utilizing homogeneous and heterogeneous bondline microstructures

“…To the best of authors' knowledge, the exploration of metamaterial or auxetic concept for the adhesive bondline was performed by Athanasiadis et al [ 32 ], showing that their conceptual microstructures could improve the stress transfer between substrates and enhance the joint strength. The conceptual microstructures employing auxetic behavior have, nevertheless, been implemented for improving mechanical performance of sandwich structures and auxetic particle-toughened composites [ [33] , [34] , [35] ]. However, further studies on the auxetic concept for adhesive bonded joints are very limited, partly due to the difficulty in the manufacture of auxetic adhesive.…”

Thermal buckling behavior of power and sigmoid functionally graded material sandwich plates using nonpolynomial shear deformation theories

“…Tebboune et al (2015) developed an efficient and simple trigonometric shear deformation theory for the thermal buckling of FGM plate resting on an elastic foundation. Duc et al (2015a, b) and Cong et al (2021) investigated the mechanical thermal buckling of FGM Sandwich and FG-CNT truncated conical shell resting on elastic foundation. Nguyen (Duc et al , 2016) studied the nonlinear dynamic response of a thick FGM plate resting on an elastic foundation using third-order shear deformation theory (TSDT) subjected to different thermal loading conditions.…”