In this article, bistable laminates are statically and dynamically studied under the existence of nonlinear magnetic force. The bistable laminates with magnetic forces are considered as a nonlinear system for vibration energy harvesting. First, a semi-analytical model was established based on the energy approach for the bistable plate together with magnets. The magnetic force versus distance was measured, and then, an equation was fitted to the experimental data. The damping of the whole system was determined experimentally, and Rayleigh damping coefficients were extracted and used in all models. Next, a finite element model of the whole system was developed to compute the dynamic response of the system under different base excitations. Finally, a test rig was constructed, and the system responses were measured under various base excitations. The dynamic snap-through of the bistable laminate under magnetic forces was also measured and compared with the results obtained from the semi-analytical and finite element model. The analysis shows that adding a magnetic force will reduce the amplitude of base excitation that is needed for dynamic snap-through for %28.6. The analysis shows that the bistable plate with a magnetic force can be a good candidate for energy harvesting because the nonlinear magnetic forces under certain conditions reduce the snap-through force and consequently increase the harvested energy. This is because of the fact that the presence of the magnetic forces allows the system to vibrate between its two stable configurations under lower base excitation amplitudes.

在本文中，在存在非线性磁力的情况下静态地和动态地研究了双稳态层压板。具有磁力的双稳态层压板被认为是用于收集振动能量的非线性系统。首先，基于能量方法对双稳态板和磁体建立了半分析模型。测量磁力与距离的关系，然后将方程拟合到实验数据。通过实验确定整个系统的阻尼，并提取瑞利阻尼系数并将其用于所有模型。接下来，开发了整个系统的有限元模型以计算系统在不同基础激励下的动态响应。最后，建造了一个试验台，并在各种基础激励下测量了系统响应。还测量了双稳态层压板在磁力作用下的动态捕捉，并与从半分析和有限元模型获得的结果进行了比较。分析表明，添加磁力会减小％28.6动态捕捉所需的基本激励幅度。分析表明，具有双磁力的双稳态板可以很好地用于能量收集，因为在某些条件下，非线性磁力会减小咬合力，从而增加收集的能量。这是因为这样的事实，即磁力的存在使系统在较低的基本激励振幅下在其两个稳定配置之间振动。