Nonlinear vibration isolation systems with both stiffness and damping nonlinearities are promising for a broad-band and high-efficient isolation performance. In this research, a novel nonlinear isolator is proposed via a compliant mechanism with negative stiffness and wire ropes with hysteretic damping. The compliant mechanism consists of two pairs of tilted flexure beams, and the nonlinear restoring force is modelled based on a beam constraint model. The hysteretic restoring force of the wire ropes is characterized by a Bouc–Wen model. A dynamic model of the nonlinear isolator is established, and a semi-analytical method is adopted to analyze the model. Generalized equivalent stiffness and a generalized equivalent damping ratio are defined, respectively, for dynamic systems with multiple nonlinearities. The compliant mechanism exhibits negative stiffness in a limited stroke and endows the isolator with a lower resonant frequency and a smaller resonant amplitude. The complaint mechanism with a symmetric restoring force is more preferred for a broader band of vibration isolation and fewer harmonics in the responses. The wire ropes improve the high-frequency isolation efficiency at the cost of a higher resonant frequency. The incorporation of the compliant mechanism and the wire ropes is beneficial for vibration isolation. Furthermore, the influences of the dimensions of the complaint mechanism on the negative-stiffness stroke, load capacity and vibration isolation performances of the nonlinear isolator are revealed.

具有刚度和阻尼非线性的非线性隔振系统有望实现宽带和高效的隔振性能。在这项研究中，通过具有负刚度的柔顺机构和具有滞后阻尼的钢丝绳提出了一种新型非线性隔离器。柔顺机构由两对倾斜的挠性梁组成，非线性恢复力基于梁约束模型进行建模。钢丝绳的滞后恢复力由 Bouc-Wen 模型表征。建立了非线性隔离器的动力学模型，并采用半解析方法对模型进行了分析。对于具有多重非线性的动态系统，分别定义了广义等效刚度和广义等效阻尼比。柔性机构在有限的行程中表现出负刚度，并使隔离器具有较低的谐振频率和较小的谐振幅度。对于更宽的隔振范围和响应中的更少谐波，更优选具有对称恢复力的投诉机制。钢丝绳以更高的谐振频率为代价提高了高频隔离效率。柔顺机构和钢丝绳的结合有利于隔振。进一步揭示了抱怨机构的尺寸对非线性隔振器负刚度行程、承载能力和隔振性能的影响。对于更宽的隔振范围和响应中的更少谐波，更优选具有对称恢复力的投诉机制。钢丝绳以更高的谐振频率为代价提高了高频隔离效率。柔顺机构和钢丝绳的结合有利于隔振。进一步揭示了抱怨机构的尺寸对非线性隔振器负刚度行程、承载能力和隔振性能的影响。对于更宽的隔振范围和响应中的更少谐波，更优选具有对称恢复力的投诉机制。钢丝绳以更高的谐振频率为代价提高了高频隔离效率。柔顺机构和钢丝绳的结合有利于隔振。进一步揭示了抱怨机构的尺寸对非线性隔振器负刚度行程、承载能力和隔振性能的影响。柔顺机构和钢丝绳的结合有利于隔振。进一步揭示了抱怨机构的尺寸对非线性隔振器负刚度行程、承载能力和隔振性能的影响。柔顺机构和钢丝绳的结合有利于隔振。进一步揭示了抱怨机构的尺寸对非线性隔振器负刚度行程、承载能力和隔振性能的影响。