The vibration control performance of a combined vibration isolation (CVI) system consists of a quasi-zero stiffness (QZS) system and a linear dynamic vibration absorber (DVA) is investigated. Firstly, the dynamic equation is established and the amplitude-frequency response of the CVI system is deduced by the harmonic balance method, and the analytical result is verified by numerical simulation. Secondly, the mechanism of CVI system is revealed from the perspectives of vibration amplitude, energy, and force transmission: The vibration isolation performance of the QZS system can be improved by reducing the vibration amplitude. Thirdly, the control performance of the CVI system is analyzed in terms of the effects of the stiffness, damping, mass ratio of DVA, and the damping of the primary system, as well as the robustness of the system. The findings lead to the development of an explicit tuning rule for the DVA attached to the QZS system. Lastly, a comparison of control performance with other three models is conducted. The results demonstrate that the CVI system can effectively suppress the vibration amplitude and broaden the isolation frequency band. The mechanism and tuning rule for the CVI system presented in this paper provides a useful reference for improving the control performance of the QZS system.

研究了由准零刚度 (QZS) 系统和线性动态吸振器 (DVA) 组成的组合隔振 (CVI) 系统的振动控制性能。首先建立动力学方程，采用谐波平衡法推导CVI系统的幅频响应，并通过数值仿真验证解析结果。其次，从振幅、能量和力传递的角度揭示了CVI系统的机理：通过降低振幅可以提高QZS系统的隔振性能。第三，从刚度、阻尼、DVA质量比、主系统阻尼的影响以及系统的鲁棒性等方面分析了CVI系统的控制性能。这些发现导致为附加到 QZS 系统的 DVA 制定了明确的调整规则。最后，进行了与其他三种模型的控制性能比较。结果表明，CVI系统能够有效抑制振幅，拓宽隔离频带。本文提出的CVI系统的机理和整定规则为提高QZS系统的控制性能提供了有益的参考。