Nonlinear dynamic characteristics of the multistable wakegalloping energy harvester

In order to improve the energy harvesting efficiency of flow-induced vibration energy harvesters, a design of a nonlinear multistable galloping vibration energy harvester is developed. The corresponding lumped parameter model is established for use in theoretical analysis.

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The homoclinic and heteroclinic orbits of nonlinear bistable and tristable galloping vibration energy harvesters are theoretically calculated using the Pade approximation method, which is the basis for applying the Melnikov method. Thus, the chaotic motion threshold values for the harvester are calculated using the Melnikov method, and the results are verified by numerical simulations. This study provides the basis for theoretical prediction of the chaotic motion of nonlinear flow-induced vibration energy harvesters and provides guidance for the design of the structure.