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

Leung, Andrew Yee TakAndrew Yee TakLeungChui, S. K.2022-05-072022-05-071997https://repository.sfu.edu.hk/handle/sfu/3111Non-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.enOn the non-linear vibration of the von Karman’s square plate by the IHB methodjournal article10.1006/jsvi.1997.0934