Parametric resonance is a type of nonlinear vibration phenomenon ,  induced from the periodic modulation of at least one of the system parameters and has the potential to exhibit interesting higher order nonlinear behaviour . Parametrically excited vibration energy harvesters have been previously shown to enhance both the power amplitude  and the frequency bandwidth  when compared to the conventional direct resonant approach. However, to practically activate the more profitable regions of parametric resonance, additional design mechanisms ,  are required to overcome a critical initiation threshold amplitude. One route is to establish an autoparametric system where external direct excitation is internally coupled to parametric excitation . For a coupled two degrees of freedom (DoF) oscillatory system, principal autoparametric resonance can be achieved when the natural frequency of the first DoF f1 is twice that of the second DoF f2 and the external excitation is in the vicinity of f1. This paper looks at combining rotary and translatory motion and use autoparametric resonance phenomena.
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Kurmann, L., Jia, Y., Hoffmann, D., Manoli, Y., & Woias, P. (2016). Rotary bistable and Parametrically Excited Vibration Energy Harvesting. Journal of Physics: Conference Series, 773(1), . https://doi.org/10.1088/1742-6596/773/1/012007