Design of piezo-electric actuated cutting tools requires carefully controlling the response characteristics while minimizing the energy input for an efficient design. Many times, nonlinearities are seen as a burden in cutting tool design process as they can result in unpredictable and extremely sensitive response. As such, engineers make design changes to effectively minimize or completely eliminate the nonlinear behavior and that has been a practice in biomedical device design industry. In this paper, the periodic response of buckled beams under piezo-excitation is considered. An optimization approach, as first demonstrated in Refs.  and , is utilized that achieves maximum amplitude, periodic, and stable responses of the beam systems. Case studies are presented that demonstrate the utility of this optimization approach to exploit the nonlinear dynamics to achieve desired responses. This work presents a new, global optimization driven, computational design approach for medical devices while exploiting nonlinearity in response dynamics.