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调谐惯容X型减振器
Tuned Inerter X-Shaped Vibration Damper

DOI: 10.12677/ojav.2024.122004, PP. 43-52

Keywords: X型结构,调谐惯容减振器,谐波平衡法,减振
X-Shaped Structure
, Tuned Inerter Damper, Harmonic Balance Method, Vibration Reduction

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Abstract:

工程环境中,振动大多是有害的。为更好地抑制振动,本文将X型结构框架与调谐惯容减振器相结合,提出一种新型调谐惯容X型减振器。基于拉格朗日方程建立单自由度线性振子耦合调谐惯容X型减振器系统的动力学方程。应用谐波平衡法结合伪弧长延伸法求得系统化的幅频响应曲线,并由龙格库塔方法进行了数值验证。通过与传统X型结构减振器对比展示了调谐惯容X型减振器的减振性能。而后讨论了调谐惯容X型减振器的参数对其减振性能的影响。研究结果表明,新型调谐惯容X型减振器有着优异的减振性能。本文的研究可以进一步促进X型结构和惯容器的工程实际应用。
In engineering environments, vibration is mostly harmful. For better vibration suppression, a new tuned inerter X-shaped vibration damper is designed, which consists of an X-shaped structural frame and a tuned inerter damper. Based on the Lagrange equations, the dynamical equations of a single-degree-of-freedom linear oscillator coupled with a tuned inertial X-shape damper are established. The amplitude-frequency response curves of the system are obtained by the harmonic balance method combined with the pseudo arc-length extension method. And the results are verified numerically by the Runge Kutta method. The vibration reduction performance of the tuned inerter X-shaped vibration damper is demonstrated by comparing it with a traditional X-shaped structural vibration damper. And then the effects of the parameters of the tuned inerter X-shaped vibration damper on its vibration reduction performance are discussed. The results show the tuned inerter X-shaped vibration damper has excellent vibration reduction performance. The research in this paper can further promote the engineering applications of X-shaped structure and inerter.

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