Finite element analysis for dynamical behavior of a multi-layered plate-strip subjected to an arbitrary inclined time-harmonic force

In this thesis, a dynamical stress field problem presented in the paper titled "Daşdemir, A. (2017): Effect of initial stress on the dynamic response of a multi-layered plate-strip subjected to an arbitrary inclined time-harmonic force, Int. J. of Applied Mechanics and Engineering, vol.22, No.3, pp.521-537" is investigated in detailed. A mathematical model for a forced vibration problem in a pre-stressed multi-layered plate-strip, which rests on a rigid foundation, subjected to an arbitrary inclined time-harmonic force is investigated in detailed. The investigation is carried out within the framework of the piecewise homogeneous body model with the use of the three-dimensional linearized theory of elastic waves in initially stressed bodies (TLTEWISB). In this scope, mathematical modelling is presented in plane strain state. It is assumed that there exists the complete contact interaction at the interface between the layers and the materials of the layer are linearly elastic, homogeneous and isotropic. The governing system of the partial differential equations of motion for the considered problem is solved approximately by employing the Finite Element Method (FEM). Further, the influence of the initial stress parameter on the dynamic response of the plate-strip is presented. Key Words: Multi-layered plate-strip, finite element method, initial stress, time-harmonic force, frequency response, forced vibration.