Investigation of the smart NPR cellular sandwich plate in large amplitude vibration under the effect of different boundary conditions

This research models the novel smart NPR cellular plate's large amplitude oscillation utilizing the Mindlin plate theory. The plate consists of an Auxetic metamaterial core and smart composite layers. By using the micromechanical concept, one may ascertain the characteristics of the NPR cellular core and smart composite layers. Then, using von Karman nonlinearity terms and Hamilton's principle, the equations controlling the smart NPR cellular sandwich plates' behavior may be developed. The GDQM is then used to answer these mathematical problems. It is also possible to determine the smart NPR cellular plate's frequency ratio by taking the outside voltage. Each Figure also shows the calculated impacts of the NPR cellular geometrical properties and the NPR cellular layer thickness. All of these variables had an effect on the frequency ratio.