Vibration characteristics of functionally graded corrugated plates by using differential quadrature finite element method

Abstract

Abstract This article proposes a general method to investigate the vibration characteristics of functionally graded corrugated plate structure (FGCPS) according to first-order shear deformation theory (FSDT) by adopting differential quadrature finite element method (DQFEM). The FGCPS can be regard as the coupling of multiple functionally graded circular arc shell elements in the form of share node by coordinate transformation. The boundary conditions of FGCPS including free, simply supported and clamped boundary conditions are considered in this paper and the boundary conditions of FGCPS are applied by using the penalty factor of penalty function. The vibration behaviors consisting of free and forced vibration behaviors of FGCPS are studied systematically from the perspective of model parameters after the convergence, stability, accuracy and generality of the presented approach are verified by finite element software ABAQUS. Meantime, it is worth mentioning that the forced vibration behaviors are investigated the steady-state response of FGCPS. The above model parameters of FGCPS are mainly composed of power law index, thickness, length, radius, radian and boundary condition. At the same time, it is necessary to point out that the investigations of the vibration characteristics of FGCPS are realized by studying the influences the above model parameters of FGCPS on the first order natural frequency and the displacement response of FGCPS respectively.