This study investigates the dynamic responses of a two-degree-of-freedom (2DOF) nonlinear bistable electromagnetic energy harvester under filtered band-limited stochastic excitation. The mathematical model of the 2DOF bistable energy harvester is derived, and its fidelity is experimentally verified. A comprehensive numerical investigation is conducted under filtered band-limited stochastic excitation (which is the white Gaussian noise filtered by a second-order filter). Comparative studies are performed between the 2DOF bistable energy harvester, the 2DOF equivalent linear energy harvester, and the single-degree-of-freedom (SDOF) linear energy harvester when subjected to white Gaussian noise and the exampled band-limited stochastic excitation. The comparative results show that the 2DOF bistable energy harvester can significantly improve the average power compared to the equivalent 2DOF and SDOF linear energy harvesters. The study reveals the insights of the excitation strength, bandwidth, and center frequency into the system performance. Finally, structural parametric studies demonstrate that the bigger frame mass and the larger spring stiffness coefficient will increase the oscillation velocity which has great significance for energy harvester.

本研究调查了过滤带限随机激励下的二自由度 (2DOF) 非线性双稳态电磁能量收集器的动态响应。推导了2DOF双稳态能量采集器的数学模型，并通过实验验证了其保真度。在过滤的带限随机激励（即由二阶滤波器过滤的高斯白噪声）下进行全面的数值研究。对 2DOF 双稳态能量采集器、2DOF 等效线性能量采集器和单自由度 (SDOF) 线性能量采集器在高斯白噪声和示例带限随机激励下进行比较研究。对比结果表明，与等效的 2DOF 和 SDOF 线性能量采集器相比，2DOF 双稳态能量采集器可以显着提高平均功率。该研究揭示了激励强度、带宽和中心频率对系统性能的影响。最后，结构参数研究表明，较大的框架质量和较大的弹簧刚度系数会增加振荡速度，这对能量收集器具有重要意义。