Accommodating inevitable misalignment is one of the couplings main functions and, in order to predict theoretically the effects of this malfunction on machine behavior, it is essential to introduce the flexible coupling model in the system’s equation of motion. Structural analysis of metallic disc coupling is conducted by means of finite element method, in which the flexible disc component is modeled using thin shell formulation, yielding linear coefficients of stiffness due to misalignment. Afterwards, cyclic forces and moments due to restoring effects of the coupling are considered in rotating system steady state response. Couplings reactions inserted in misaligned shafts are assumed to behavior as a composition of harmonic components with frequencies of 1x up to 4x the rotor spin speed. The effect of the disc geometry in the transverse vibrations is investigated for angular and parallel misalignment, based on orbit shapes and full spectrum information. Ver menos