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On the dynamic behavior of the Zener model with nonlinear stiffness for harmonic vibration isolation

机译：非线性刚度用于振动隔振的齐纳模型的动力学行为

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摘要

In this paper, the dynamic behaviour of a mechanical isolator known as the Zener model is considered. This model consists of a mass supported by a spring that is in parallel with two further elements in series; a damper and a second spring. Previous work had already demonstrated that this system has benefits for the transmissibility above the resonance frequency, when compared with the traditional spring-damper isolator. In this work we study the influence of replacing the main spring with a nonlinear cubic spring. In fact, we show that use of a cubic stiffness can provide improvement in the transmissibility for frequencies around and above the resonance if the stiffness is of the softening type. Results are based on the analytical development of the equation of motion using the harmonic balance method.
机译：在本文中，考虑了称为Zener模型的机械隔离器的动态行为。该模型包括一个由弹簧支撑的质量，该质量与两个其他串联的元件并联。阻尼器和第二个弹簧。先前的工作已经证明，与传统的弹簧-阻尼器隔离器相比，该系统对于高于共振频率的透射率具有优势。在这项工作中，我们研究了用非线性立方弹簧代替主弹簧的影响。实际上，我们表明，如果刚度属于软化类型，则三次刚度的使用可以改善谐振周围和上方频率的透射率。结果基于使用谐波平衡法的运动方程的解析发展。

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