Determination of the steady state response of EFEF/VFVF supported rectangular specially orthotropic plates (Q2455812)

Summary: EFEF and VFVF plates are rectangular plates with two opposite edges elastically or viscoelastically supported and remaining others free. Using the energy based finite difference method, the problem is modeled by a kind of finite difference element. Due to the significance of the fundamental frequency of the plate, its variation was investigated with respect to mechanical properties of plate material and translational spring coefficient of supports. The steady state response of viscoelastically supported plates was also investigated numerically for various damping coefficients. In the numerical examples, the natural frequency parameters and steady state responses to a sinusoidally varying force are assessed for the fundamental mode. Convergence studies are made. Many new results have been presented. The considered problems are solved within the frame work of the Kirchhoff-Love hypothesis.