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首页> 外文期刊>Mathematical Problems in Engineering >Design and Characteristics Analysis of a Nonlinear Isolator Using a Curved-Mount-Spring-Roller Mechanism as Negative Stiffness Element
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Design and Characteristics Analysis of a Nonlinear Isolator Using a Curved-Mount-Spring-Roller Mechanism as Negative Stiffness Element

机译：弯形弹簧-滚子-机构为负刚度的非线性隔离器的设计与特性分析

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摘要

The characteristics of a passive nonlinear isolator are developed by combining a curved-mount-spring-roller mechanism as a negative stiffness corrector in parallel with a vertical linear spring. The static characteristics of the isolator are presented, and the configurative parameters are optimized to achieve a wider displacement range at the equilibrium position where the isolator has a low stiffness and the stiffness changes slightly. The restoring force of the isolator is approximated using a Taylor expansion to a cubic stiffness. Considering the overload and underload conditions, a dynamic equation is established as a Helmholtz-Duffing equation, and the resonance response of the nonlinear system is determined by employing the harmonic balance method (HBM). The frequency response curves (FRCs) are obtained for displacement excitations. The absolute displacement and acceleration transmissibility are defined and investigated to evaluate the performance of the nonlinear isolator, and they are compared with an equivalent linear isolator that can support the same mass with the same static deflection as the proposed isolator. The effects of the amplitude of the excitation, the offset displacement, and the damping ratio on the dynamic characteristics and the transmissibility performance are considered, and experiments are carried out to verify the above analysis. The results show that the overload and underload system can outperform the counterparts with the linear stiffness, softening stiffness, softening-hardening stiffness, and hardening stiffness with the magnitude of the excitation amplitude, and that its isolation performance is generally better than that of a linear system. The transmissibility, response, and resonance frequency of the system are affected by the excitation amplitude, offset displacement, cubic stiffness, and damping ratio. To obtain a better isolation performance, an appropriatemass, not-too-large amplitude, and larger damper are necessary for the proposed isolator.
机译：通过将弯曲安装弹簧滚轮机构作为负刚度校正器与垂直线性弹簧并联，可以开发无源非线性隔离器的特性。介绍了隔离器的静态特性，并优化了配置参数，以在隔离器具有较低刚度且刚度略有变化的平衡位置实现更大的位移范围。隔离器的恢复力使用泰勒展开近似为立方刚度。考虑到过载和欠载条件，建立了一个动力学方程作为Helmholtz-Duffing方程，并采用谐波平衡法（HBM）确定了非线性系统的共振响应。获得位移激励的频率响应曲线（FRC）。定义并研究了绝对位移和加速度传递率，以评估非线性隔离器的性能，并将它们与等效线性隔离器进行比较，该线性隔离器可以支持与拟议隔离器相同质量且具有相同静态挠度的隔离器。考虑了激励幅度，偏移位移和阻尼比对动力特性和传输性能的影响，并进行了实验以验证上述分析。结果表明，在激励振幅的大小下，过载和欠载系统的线性刚度，软化刚度，软化硬化刚度和硬化刚度都优于同类系统，其隔离性能通常优于线性系统。系统。系统的传输率，响应和共振频率受激励幅度，偏移位移，立方刚度和阻尼比的影响。为了获得更好的隔离性能，建议的隔离器必须具有适当的质量，不太大的振幅和更大的阻尼器。

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  • 来源
    《Mathematical Problems in Engineering》 |2018年第6期|1359461.1-1359461.15|共15页
  • 作者

    Han Junshu; Meng Lingshuai; Sun Jinggong;

  • 作者单位

    Acad Mil Med Sci, Inst Med Equipment, Tianjin 300161, Peoples R China;

    Acad Mil Med Sci, Inst Med Equipment, Tianjin 300161, Peoples R China;

    Acad Mil Med Sci, Inst Med Equipment, Tianjin 300161, Peoples R China;

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