Couple stress-based dynamic stability analysis of functionally graded composite truncated conical microshells with magne
- PDF / 4,248,640 Bytes
- 21 Pages / 595.276 x 790.866 pts Page_size
- 26 Downloads / 230 Views
ORIGINAL ARTICLE
Couple stress‑based dynamic stability analysis of functionally graded composite truncated conical microshells with magnetostrictive facesheets embedded within nonlinear viscoelastic foundations Lingjiao Fan1 · Saeid Sahmani2 · Babak Safaei3 Received: 30 July 2020 / Accepted: 19 September 2020 © Springer-Verlag London Ltd., part of Springer Nature 2020
Abstract In this paper, size-dependent dynamic stability of axially loaded functionally graded (FG) composite truncated conical microshells with magnetostrictive facesheets surrounded by nonlinear viscoelastic foundations including a two-parameter Winkler–Pasternak medium augmented via a Kelvin–Voigt viscoelastic approach is analyzed considering nonlinear cubic stiffness. To this purpose, von Karman-type kinematic nonlinearity along with modified couple stress theory of elasticity was applied to third-order shear deformation conical shell theory in the presence of magnetic permeability tensor and magnetic fluxes. The numerical technique of generalized differential quadrature (GDQ) was used for the solution of microstructuraldependent dynamic stability responses of FG composite truncated conical microshells. It was seen that moving from prebuckling to postbuckling domain somehow increased the significance of couple stress type of size dependency on frequency. In addition, within both prebuckling and postbuckling regimes, an increase of material gradient index decreased the importance of couple stress type of size dependency on the frequency of an axially loaded FG composite truncated conical microshell. Furthermore, it was revealed that by applying a positive magnetic field to an axially loaded truncated conical microshell with magnetostrictive facesheets, its frequency at a specific axial load value was increased in prebuckling domain and decreased in postbuckling domain. However, this pattern was reversed by applying a negative magnetic field. Keywords Dynamic buckling · Magnetic permeability tensor · Modified couple stress elasticity · Kelvin–Voigt viscoelastic model · Truncated conical shell
1 Introduction In recent years, ferromagnetic materials have been utilized to take coupled magneto-elastic response into consideration in the optimum design of electromagnetic devices. Courjault et al. [1] investigated the advantages of magnetic imaging in resistive and inductive devices based on piezo actuator failure localization. Elhosni et al. [2] applied multilayer * Lingjiao Fan [email protected] 1
School of Architectural Engineering and Art Design, Hunan Institute of Technology, Hengyang 421001, Hunan, China
2
School of Science and Technology, The University of Georgia, 0171 Tbilisi, Georgia
3
Department of Mechanical Engineering, Eastern Mediterranean University, North Cyprus via Mersin 10, Famagusta, Turkey
piezo-magnetic acoustic wave devices as a sensor in external magnetic fields. Qin et al. [3, 4] reported the convergence and efficiency of different admissible functions for free vibrations of cylindrical shells under var
Data Loading...
