Vibration and stability analysis of fluid-conveying sandwich micro-pipe with magnetorheological elastomer core, considering modified couple stress theory and geometrical nonlinearity

摘要: The main goal of this paper is to investigate the size-dependent nonlinear vibration and stability response of fluid-conveying sandwich micro-pipes exploiting magnetorheological elastomer (MRE) as a smart core. Considering the geometrical nonlinearity, based on von-Karman assumption, Euler–Bernoulli theory is employed for mathematical formulation of the problem. Additionally, modified couple stress theory (MCST) is utilized as a size-dependent theory to reach an accurate model. Kerwin assumption is taken into account, and Hamiltonian’s approach is hired to derive the coupled and nonlinear governing equations and boundary conditions of the system. For solution procedure, differential quadrature method (DQM) is used to discretize the governing equations and corresponding boundary conditions. Thereafter, the obtained algebraic nonlinear equations and boundary conditions are solved numerically to …