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This research deals with nonlinear dynamics of an elastic bar supported at both its ends by electromagnetic forces from high-Tc superconducting bulks, under vertical excitation. Experimental results show parametric resonance of an asymmetric mode consisting of pitching motion and deflection in a symmetric system. This resonance has nonlinear characteristics such as soft-spring response and hysteresis. It was also confirmed by numerical analysis. Nonlinearity originated in electromagnetic forces caused this resonance.