Enhancing Vibration Problem of Temperature-Dependent Functionally Graded Cylindrical Microshells Using Magneto-Electro-Elastic Micropatches
Abstract
This research offers a thorough theoretical investigation of the vibration behavior of functionally graded (FG) cylindrical microshells augmented with magneto-electro-elastic (MEE) micropatches, considering temperature-dependent material properties. The structure is further surrounded by a Pasternak elastic medium. Accurate modeling of structural behavior is achieved by employing the first-order shear deformation theory (FSDT). To account for the size effect, the modified strain gradient theory (MSGT) is employed. The analysis focuses on the temperature dispersion over the thickness of the microshell, examining three distinct profiles: uniform, harmonic non-uniform, and nonlinear. The FG core's material characteristics are temperature-dependent and distributed according to a power law. The associated equations of motion are generated by the application of Hamilton's principle and subsequently solved with the Galerkin technique in order to determine the natural frequencies. The impact of various parameters, including gradient index, length scale parameters, temperature variation, MEE patch characteristics, magnetic potential, Pasternak medium's parameters, and electric voltage on the free vibration behavior is thoroughly investigated. The findings of this study contribute to understanding the potential of MEE patches in enhancing the dynamic response of temperature-dependent FG cylindrical microshells, offering valuable insights for practical applications in micro-electro-mechanical systems (MEMS) and smart structures.