MAGNETIC PARTICLE REINFORCEMENT IN TRUNCATED CONICAL POROUS COMPOSITE SHELLS: AN INVESTIGATION OF NONLINEAR VIBRATIONS

This article provides an analysis of the nonlinear vibrations observed in porous truncated conical structures made of polyvinylidene fluoride (PVDF) reinforced with Terfenol-D particles. The Eshelby-Mori-Tanaka model was utilized to ascertain the effective properties of the magneto-electro-elastic composite. Furthermore, it is presumed that the porosity within the composite material demonstrates uniformity. The governing equation of the system is derived using the Von-Karman theory of nonlinear strains and the theory of first-order shear deformation. This objective is accomplished by utilizing the principle of lowest energy potential and Hamilton's principle. The solution to these equations can be obtained by utilizing the generalized differential quadrature technique. This study aims to investigate the impact of various factors, such as porosity, vertex angle, shell length, boundary conditions, and volume percentage, on the properties and behavior of Terfenol-D. Furthermore, to ensure the credibility of the findings, a thorough comparison was conducted between the obtained results and the information documented in the current body of literature. This approach has demonstrated its effectiveness in evaluating the accuracy of the outcomes. The results suggest that there is a decreasing trend in the ratio of natural frequencies between nonlinear and linear systems as the vertex angle decreases. The current findings can be utilized as a benchmark for future evaluations.