Effect of stiffener on nonlinear characteristic behavior of a rectangular plate: A single mode approach

In this paper, nonlinear dynamic of an excited square plate with a single stiffener is investigated using a single mode approach. In a first part, we present an exact solution of the buckling mode of the stiffened plate under uni-axial compression. The differential equation of the deflection surface of the rectangular plate with different boundary conditions is used and the effect of the stiffener upon natural frequency of the plate is examined. In a second part, we analyze the dynamic of the excited mode near the principal resonance. Specifically, we study the influence of stiffener on nonlinear characteristic behavior of the excited plate.