Previous studies have shown that nonlinear inerters can achieve superior vibration suppression compared to linear inerters, such as broadening the effective frequency band of the vibration isolator. However, nonlinear inerters are typically implemented by incorporating linear inerters into nonlinear configurations, resulting in indirect configurations and extra connections. This study introduces a direct and simple way to realize a yoke-type nonlinear inerter by employing the Scotch yoke mechanism, which is named the Scotch yoke inerter (SYI). The primary contributions of this paper are introducing a concept about the physical realization of a nonlinear inerter capable of providing both apparent mass and nonlinear inertial effects and investigating the dynamic responses and isolation performances of a vibration isolator enhanced by the proposed nonlinear inerter. The working mechanism for how the proposed SYI generates the nonlinear inertia is introduced and a simple configuration that facilities the application of this nonlinear inerter is proposed. The mechanical model of the SYI is built to describe its inertial behavior using the Euler-Lagrange method. Then, the SYI is incorporated into a vibration isolator to improve its performances. The averaging method is adopted to obtain the analytical responses and dynamic characteristics of the isolator with SYI subjected to force excitation. The stability of this nonlinear isolator is analyzed, and numerical integration using the fourth-order Runge-Kutta method is employed to verify the analytical results. The isolation performance evaluation of the isolator with SYI is conducted through three indices including the peak dynamic displacement, peak force transmissibility and effective isolation frequency band. The mechanical behavior indicates that the SYI can successfully generate the apparent mass effect of an inerter and nonlinear inertial behavior. The analytical responses agree well with the numerical results for different parameters of the isolator with SYI, which verifies the analytical solutions. The use of SYI in the vibration isolator can bend the backbone curve to the low frequencies, which indicates the softening characteristic of the frequency response. The isolator with SYI demonstrates beneficial performances in terms of force transmissibility and effective isolation frequency band. It is concluded that the proposed SYI can be seen as an alternative nonlinear inerter and is beneficial for improving the performance of the vibration isolator.

先前的研究表明，与线性惯性装置相比，非线性惯性装置可以实现更出色的振动抑制，例如拓宽隔振器的有效频带。然而，非线性惯性装置通常通过将线性惯性装置结合到非线性配置中来实现，从而导致间接配置和额外连接。本研究介绍了一种直接而简单的方法，通过采用苏格兰轭机构实现轭式非线性惯性装置，称为苏格兰轭惯性装置（SYI）。本文的主要贡献是介绍了一种能够提供表观质量和非线性惯性效应的非线性惯性装置的物理实现概念，并研究了由所提出的非线性惯性装置增强的隔振器的动态响应和隔离性能。介绍了所提出的 SYI 如何产生非线性惯性的工作机制，并提出了一种便于应用该非线性惯性装置的简单配置。SYI 的机械模型是使用 Euler-Lagrange 方法来描述其惯性行为的。然后，将 SYI 集成到隔振器中以提高其性能。采用平均法获得具有 SYI 的隔离器在力激励下的解析响应和动态特性。分析了该非线性隔离器的稳定性，并采用四阶 Runge-Kutta 方法进行数值积分以验证分析结果。通过峰值动位移、峰值力传递率和有效隔振频带三个指标对采用SYI的隔振器进行隔振性能评价。机械行为表明 SYI 可以成功地产生惰性和非线性惯性行为的表观质量效应。分析响应与带有 SYI 的隔离器不同参数的数值结果非常吻合，验证了分析解。在隔振器中使用SYI可以使骨干曲线向低频弯曲，这表明频率响应具有软化特性。带有 SYI 的隔离器在力传递率和有效隔离频带方面表现出有益的性能。得出的结论是，所提出的 SYI 可以看作是一种替代的非线性惯性装置，有利于提高隔振器的性能。