Study on Snap-Through-Type Nonlinear Dynamic Damper

咬合式非线性动态阻尼器的研究

• 批准号: 07650281
• 负责人: SATO Hidenori
• 金额: $ 1.09万
• 依托单位: Kanazawa University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1995
• 资助国家: 日本
• 起止时间: 1995 至 1996
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07650281/
• 关键词: Dynamic Damper; Nonlinear System; Chaos; Vibration Suppression; 振動; 非線形

Characteristics of suppressing vibration of a dynamic damper with snap-through-type nonlinear spring are investigated theoretically and experimentally. The result is described as follows :1.Theoretical analysisA damper model of a single-degree-of freedom system which consists of a viscous damping and a nonlinear spring is considered. Nonlinearity of the spring is represented with cubic polynomial and has two stable equilibrium states.(1) Impact free vibration response of the system where the nonlinear damper is attached to an undamped single-degree-of-freedom system to which is numerically analyzed. It is found that there are systems with the better effect of vibration suppression than linear systems.(2) The optimized solutions in forced vibration was a little better than those of the linear system by PQ theory. Chaotic vibration can be often seen, but it doesn't always lead to large suppression of the vibration.2.Experimental analysisA snap-through-type damper which consisted of laminated buckled thin plates with clearance ends and a mass at a center of the span was made. The damper was set up on a cantilever beam considered as a single-degree-of-freedom system.(1) It is found that the vibration response by impulsive force is in general agreement with the numerical result and that the vibration of the system can be suppressed by the damper.(2) It is confirmed that the forced vibration response due to unbalance can be also suppressed by the damper and that the chaotic vibration occurs over the frequency range with the vibration suppression effect.It is concluded that the dynamic damper proposed is effective for impulsive force. For practical application, an improvement in the damper structure is necessary.

从理论和实验两个方面研究了具有突穿式非线性弹簧的动力阻尼器的减振特性。研究结果如下：1.研究了一个由粘滞阻尼器和非线性弹簧组成的单自由度系统的阻尼器模型。弹簧的非线性用三次多项式表示，存在两种稳定的平衡状态：(1)非线性阻尼器附加于无阻尼单自由度系统的冲击自由振动响应的数值分析。发现存在比线性系统更好的减振效果。(2)基于PQ理论的受迫振动最优解略好于线性系统。混沌振动是常见的，但它并不总是导致振动的大范围抑制。2.实验分析制作了一种由两端有间隙的层合屈曲薄板和跨度中心处的质量块组成的扣件式阻尼器。将阻尼器设置在悬臂梁上，将其视为单自由度系统。(1)脉冲力作用下的振动响应与数值结果基本一致，阻尼器可以抑制系统的振动。(2)证实了阻尼器也能抑制由于不平衡引起的强迫振动响应，并且在具有减振效果的频率范围内发生混沌振动，从而得出所提出的动力阻尼器对脉冲力的抑制是有效的。在实际应用中，对阻尼器的结构进行改进是必要的。

项目成果

佐藤 秀紀: "飛び移り型非線形ダンパの制振特性" 日本機械学会,機械力学・計測制御講演論文集. 160-162 (1995)

Hideki Sato：“跳跃式非线性阻尼器的阻尼特性”日本机械工程师学会，机械动力学和仪表控制讲座论文集 160-162 (1995)。