Dynamic analysis and optimization of functionally graded graphene platelet stiffened plate carrying multiple vibration absorbers

The paper investigates the vibration characteristics of functionally graded graphene platelet reinforced composites (FG-GPLRC) stiffened plates in the presence of coupled Dynamic vibration absorbers (DVAs) and the optimization of the parameters of the DVAs. The FG-GPLRC plate is used as a basis for coupling arbitrary numbers of stiffeners at arbitrary angles and positions by imposing a displacement continuity condition supplemented with displacement coordinate transformations. The artificial virtual spring method is used to simulate the various boundary conditions by setting the spring stiffness and coupling the simplified DVAs to a spring-damped system. The unknown displacement coefficients were expanded using spectral geometry method to obtain the dynamic response of the coupled model. The reliability of the current model is confirmed by comparison with literature, the finite element method (FEM), and experiments. Based on the presented model, the different dynamic behaviors of plates with different FG-GPLRC distribution types at different stiffening parameters are analyzed, and it is found that different GPL distribution types are not equally sensitive to changes in the location and size of stiffeners. It will provide greater structural strength and design flexibility for the engineering of significant watercraft and critical vehicles. The vibration control of FG-GPLRC stiffened plates is developed using DVA and the DVA parameters are optimized using Artificial Bee Colony algorithm to minimize the model energy. These results can extend the structural life, which will increase the potential of FG-GPLRC stiffened plates in a wider range of engineering applications.