A novel cam-typed bistable nonlinear energy sink (CBNES) is first proposed in this paper. The CBNES achieves a customized design of the ideal configuration of BNES by introducing a cam-roller-spring negative stiffness mechanism (CRS-NSM). The design criteria for continuous and smooth bistable cam profiles are studied, and the extreme values of dimensionless stiffness and pre-compression are predicted. Furthermore, the periodic and quasi-periodic dynamics of the system are studied by using the complexification-averaging (CA-X) method. By combining Slow Invariant Manifold (SIM) and phase trajectory, the energy dissipations of different response types of the CBNES are predicted. The SMR and chaotic response have the best and lowest targeted energy transfer (TET) efficiency, respectively. The saddle-node (S-N) and Holf bifurcation characteristics of the periodic fixed points are analyzed to predict the possibility of SMR occurrence. The analysis of the amplitude frequency curve with the variation of system parameters indicates that weak negative stiffness and intermediate cubic stiffness are more beneficial to vibration suppression. The highlight is that the excitation thresholds of SMR are predicted by using analytical and numerical methods, and the influences of system parameters on the thresholds are analyzed. The deviation between the analytical and numerical results will decrease with increasing damping. Finally, the correctness of the analytical results is verified through a series of fixed-frequency experiments. The proposed CBNES provides a valuable potential solution for designing efficient and robust mechanical BNES physical implementations.

中文翻译：

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可定制的凸轮型双稳态非线性吸能器

本文首次提出了一种新型凸轮型双稳态非线性吸能器（CBNES）。 CBNES通过引入凸轮-滚柱-弹簧负刚度机构（CRS-NSM）实现了BNES理想构型的定制设计。研究了连续光滑双稳态凸轮轮廓的设计准则，并预测了无量纲刚度和预压缩的极值。此外，利用复数平均（CA-X）方法研究了系统的周期和准周期动力学。通过结合慢不变流形（SIM）和相轨迹，预测了CBNES不同响应类型的能量耗散。 SMR 和混沌响应分别具有最佳和最低的目标能量转移 (TET) 效率。通过分析周期性不动点的鞍结点（SN）和Holf分岔特性来预测SMR发生的可能性。幅频随系统参数变化曲线分析表明，弱负刚度和中等立方刚度更有利于振动抑制。重点是利用解析和数值方法预测了SMR的激励阈值，并分析了系统参数对阈值的影响。解析结果与数值结果之间的偏差将随着阻尼的增加而减小。最后通过一系列定频实验验证了分析结果的正确性。所提出的 CBNES 为设计高效且稳健的机械 BNES 物理实现提供了有价值的潜在解决方案。