On the non-linear vibration of the von Karman’s square plate by the IHB method

Abstract

Non-linear phenomena in the vibration of a square plate subject to lateral forcing are studied. Starting from the dynamic analogue of the von Kármán partial differential equations that govern the motion of the plate, a system of second order non-linear ordinary differential equations are derived. Using the IHB method, a numerical bifurcation analysis is performed in which interaction between spatial modes is examined. A number of diagrams of resonance curves and bifurcation are presented.