Tri-stable magneto-piezoelastic oscillators exhibit superior performance in terms of broadband resonance frequency and lower excitation threshold, compared to linear and bi-stable systems. Furthermore, inclusion of magnets renders them applicable, tunable, and simple designs. However, the potential of this oscillators for the purpose of simultaneous vibration suppression and energy harvesting has not been investigated. This study aims to investigate simultaneous energy harvesting and vibration isolation through a tri-stable magneto-piezoelastic absorber (TMPA). The absorber comprises a bimorph cantilever beam carrying a magnetic tip mass and two external magnets. The interplay between magnets generates a nonlinear restoring force in the TMPA structure. This absorber is attached to a host vibrating beam, which is under a transient or periodic forcing, in order to reduce its vibrations and harvest electrical energy. The nonlinear magneto-electromechanical equations governing the coupled system are obtained by employing the Hamilton's principle, Euler-Bernoulli beam theory, and a recently proposed magnetic force relationship. First, the mechanisms of tri-stability formation are investigated via bifurcation diagrams. Next the potency of the TMPA in the transient excitation scenario is examined. Furthermore, the performance of the TMPA in the presence of the periodic excitation with different forcing levels is investigated. Specifically, frequency and time domain analyses are carried out to characterize the response of the system and efficiency of the absorber when TMPA performs periodic in-well, aperiodic inter-well and periodic inter-well oscillations. In addition, to provide a better insight regarding the TMPA performance, the kinetic energies, harvested power, and dissipated power for the region of strongly modulated response are also studied. Moreover, the efficacy of the TMPA in periodic snap-through oscillations is examined by the means of the harmonic balance method in conjunction with pseudo-arclength continuation scheme. Finally, the results disclosed that the proposed tri-stable absorber outperforms a linear absorber in vibration annihilation and energy harvesting.

与线性和双稳态系统相比，三稳态磁压弹性振荡器在宽带谐振频率和较低的激励阈值方面表现出优异的性能。此外，包含磁铁使它们适用、可调和简单的设计。然而，尚未研究这种振荡器用于同时抑制振动和能量收集的潜力。本研究旨在通过三稳态磁压弹性吸收器 (TMPA) 研究同时进行能量收集和隔振。吸收器包括一个双压电晶片悬臂梁，该悬臂梁带有一个磁性尖端质量和两个外部磁铁。磁铁之间的相互作用在 TMPA 结构中产生非线性恢复力。该吸收器连接到主振动梁上，这是在瞬态或周期性强迫下，以减少其振动并收集电能。控制耦合系统的非线性磁机电方程是通过采用哈密顿原理、欧拉-伯努利梁理论和最近提出的磁力关系获得的。首先，通过分叉图研究了三稳态形成的机制。接下来检查瞬态激励场景中 TMPA 的效力。此外，研究了 TMPA 在具有不同强迫水平的周期性激发的情况下的性能。具体而言，当 TMPA 进行周期性井内时，进行频域和时域分析以表征系统的响应和吸收器的效率，非周期性井间振荡和周期性井间振荡。此外，为了更好地了解 TMPA 性能，还研究了强调制响应区域的动能、收集功率和耗散功率。此外，通过谐波平衡方法结合伪弧长延续方案，检验了 TMPA 在周期性突触振荡中的功效。最后，结果表明，所提出的三稳态吸收器在振动消除和能量收集方面优于线性吸收器。通过谐波平衡方法结合伪弧长延续方案来检查 TMPA 在周期性快速通过振荡中的功效。最后，结果表明，所提出的三稳态吸收器在振动消除和能量收集方面优于线性吸收器。通过谐波平衡方法结合伪弧长延续方案来检查 TMPA 在周期性快速通过振荡中的功效。最后，结果表明，所提出的三稳态吸收器在振动消除和能量收集方面优于线性吸收器。