This research is on the nonlinear dynamics of a two-sided electrostaticallyactuated capacitive micro-beam. The microresonator is composed of silicon andPZT as a piezoelectric material. PZT is functionally distributed along theheight of the micro-beam according to the power law distribution. Themicro-resonator is simultaneously subjected to DC piezoelectric and two-sidedelectrostatic actuations. The DC piezoelectric actuation leads to thegeneration of an axial force along the length of the micro-beam and this isused as a tuning tool to shift the primary resonance of the micro-resonator.The governing equation of the motion is derived by the minimization of theHamiltonian and generalized to the viscously damped systems. The periodicsolutions in the vicinity of the primary resonance are detected by means of theshooting method and their stability is investigated by determining theso-called Floquet exponents of the perturbed motions. The basins of attractioncorresponding to three individual periodic orbits are determined. The resultsdepict that the higher the amplitude of the periodic orbit, the smaller is thearea of the attractor
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