This paper presents a comprehensive study on lumped parameter systems with internally coupled resonators, emphasizing stability analysis and energy harvesting potential. Both mechanical and electromechanical coupling mechanisms are explored, revealing the critical role of the resonator's spring constant and feedback shunt capacitance stiffness. Simulation analyses demonstrate the significant advantages of electrical internal coupling, such as enhanced tunability and superior energy harvesting capabilities. By harnessing negative stiffness through electromechanical coupling, the paper highlights possibilities for precise control over system dynamics and the creation of band gaps at lower frequencies. The findings underscore the potential of internally coupled resonators in metamaterial systems, particularly for vibration control and energy harvesting applications.
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Alimohammadi et al. (2024) studied this question.
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