Journal of Advanced Materials in Engineering (Esteghlal)

---

---

Based on classical plate theory, standard and spectral finite element methods are extended for vibration and dynamic stability of axially moving thin plates subjected to in-plane forces. The formulation of the standard method earned through Hamilton’s principle is independent of element type. But for solving numerical examples, an isoparametric quadrilateral element is developed using Lagrange interpolation functions. The spectral method is, in fact, the solution of motion equation for an axially moving plate. Although this method has some limitations concerning boundary condition of plate and in-plane forces, it leads to an exact solution of free vibration and stability of plates travelling on parallel rollers. The method can be used as a benchmark of accuracy of other numerical methods.

---

This paper is concerned with elastic local buckling of rectangular plates subjected to intermediate and end inplane loads. Since closed form solution for buckling analysis of plates with different end conditions and subjected to intermediate loads is complicated, numerical methods are more useful. Because of restrictions on the two finite strip methods, the longitudinal B3 spline expressions combined with conventional transverse shape functions are used as displacement functions. This method is computationally more efficient than the finite element method, more flexible in boundary treatment, and more accurate in dealing with point forces and axial loads than the conventional finite strip method. Local buckling coefficients are presented for plates under intermediate and end inplane loads which are useful for design of steel walls or plates that support intermediate floors/loads.