An energy-saving method based on dynamic vibration absorbers for eccentrically stiffened plates under non-ideal induction motor excitation

This paper develops an energy-saving control approach incorporating dynamic vibration absorbers, with the eccentric stiffened plate system under induction motor excitation serving as an illustrative example to demonstrate its effectiveness in overcoming resonance passage difficulties under non-ideal excitation. A unified coordinate system is adopted, where stiffener responses are expressed by the global plate displacement field. This avoids extra degrees of freedom, ensures compatibility, and enables accurate results with few truncated terms. An efficient model for arbitrary boundaries is then developed via the improved Fourier series and virtual boundary spring techniques. Based on this model, a non-ideal induction motor is introduced as the excitation source, and an electromechanical coupled system is constructed. The stability of the system is then analyzed using the perturbation method. Numerical simulation results validate the feasibility and accuracy of the proposed analytical method. The results indicate that, under non-ideal motor excitation, the system exhibits a typical Sommerfeld effect. To address this phenomenon, the proposed vibration absorption method effectively suppresses the resonance response. Compared to conventional approaches that rely on high-power motors, the proposed method reduces energy consumption by approximately 30 %. This study provides theoretical support for the modeling of stiffened plate structures and offers a practical solution for reducing dependence on high-power motors and achieving energy-efficient operation in engineering applications.