Recent shock-protection technologies have leveraged elastic instability in nonlinear bistable mechanisms. These innovations include a bistable shock isolator (BSI), which uses a zero-frequency singularity to delay and mitigate force transmission. However, a well-escape accompanying the singularity of the BSI has a critical drawback as the well-escape alters the initial conditions, which precludes repetitive applications of the singularity for subsequent shock loading. To address this issue, we propose a transitional shock isolator (TSI; from asymmetric bistability to asymmetric monostability) designed to possess a saddle–node ghost (TSI-snG) remnant after the saddle–node bifurcation. A symmetry-breaking parameter is introduced into the shock isolator model and designed such that the initial conditions for every shock loading are maintained at one fixed point, and the other two fixed points are mutually annihilated. After the annihilation, the TSI-snG ensures that the payload — oscillating mass exposed to shock loading — reliably returns to the original position after every shock loading, which indicates that the limitation of the BSI is resolved. For engineering practicality, we also consider the inevitable fabrication errors by using an imperfection parameter, which is a perturbation of the symmetry-breaking parameter. We demonstrate that TSI-snG with imperfections exhibits a bottleneck near the ghost and exploits the bottleneck to delay and nullify the force-transmission pathway. Therefore, the TSI-snG produces similar benefits from the BSI (delay and mitigation of force transmission), while resolving the drawback of the BSI (well-escape). Parametric studies reveal the dynamics of the TSI model, and experimental verifications corroborate the benefits of the TSI-snG.

中文翻译：

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使用鞍节点鬼附近的瓶颈现象进行非线性冲击隔离


最近的冲击保护技术利用了非线性双稳态机构中的弹性不稳定性。这些创新包括双稳态冲击隔离器 (BSI)，它使用零频率奇点来延迟和减轻力传递。然而，伴随 BSI 奇点的井逃生具有一个严重的缺点，因为井逃生改变了初始条件，这排除了后续冲击载荷中奇点的重复应用。为了解决这个问题，我们提出了一种过渡隔震器（TSI；从非对称双稳态到非对称单稳态），旨在在鞍节点分叉后拥有鞍节点幽灵（TSI-snG）残余物。在隔震器模型中引入对称破缺参数，并设计为使每个冲击载荷的初始条件保持在一个固定点，而另外两个固定点相互抵消。湮灭后，TSI-snG 确保有效载荷（受到冲击载荷的振荡质量）在每次冲击载荷后可靠地返回到原始位置，这表明 BSI 的限制得到了解决。为了工程实用性，我们还通过使用缺陷参数来考虑不可避免的制造误差，这是对称性破缺参数的扰动。我们证明，有缺陷的 TSI-snG 在幽灵附近表现出瓶颈，并利用瓶颈来延迟和消除力传递路径。因此，TSI-snG 产生了与 BSI（力传递的延迟和减轻）类似的优点，同时解决了 BSI（井逃逸）的缺点。参数研究揭示了 TSI 模型的动力学，实验验证证实了 TSI-snG 的优势。