Tuning Vibration with Graphene and Porosity: an Advanced Model for Doubly Curved Sandwich Shells
摘要
This paper presents the vibrational characteristics of a sandwich doubly curved shell composed of porous core sandwiched by two graphene nanoplatelets reinforced attachments. The various configurations of the sandwich layers are assumed in the present work with changes of porosity and functionality distributions.
MethodsThe higher-order shear and normal deformation theory is used for development of the basic kinematic relations. By setting the shear stress at the top/bottom edges equal to zero and solving the equations, the resulting displacement field becomes constrained by the boundary conditions. Employing the Hamilton’s principle yields the governing equations of motion in the curvilinear coordinate system. The analytical solution is suggested for evaluation of the natural frequency responses with changes of significant parameters of the problem.
ResultsThe natural frequencies are presented in the both tabular and graphical forms to investigate impact of various configurations of the sandwich layers, porosity coefficient, volume fraction of reinforcement and geometric parameters of the shell. After presentation of an extended comparative study, the large parametric analysis is presented to seek impact of various parameters.
ConclusionAn enhancement in the natural frequency is observed with a diminish in the porosity coefficient as well as increase in the reinforcement amount for the special proposed sandwich structure in this paper. The suggested structure and configuration can be used in the aerospace structures and elements.