NONLINEAR DYNAMICS OF A 2D ARRAY OF COUPLED PENDULUMS UNDER PARAMETRIC EXCITATION

In this paper, we investigate the frequency response of a 2D array of coupled pendulums under parametric excitation. We developed a computational model while considering the main source of nonlinearities. The nonlinear equations of motion are derived and solved using the Harmonic Balance Method (HBM) coupled with the Asymptotic Numerical Method (ANM). Numerical simulation are performed in the case of 3X3 array to investigate the effect of changing the coupling coefficients in the 2D direction and adding an imperfection on the collective dynamics of the array.