单阻尼与对称双阻尼弦系统减振特性对比
首发时间:2023-10-20
摘要:为了探究双阻尼弦系统的减振特性,推导其频率方程,对可解析求解的情况--对称三分位阻尼弦系统的频率方程进行代数化,得到其本征值的闭合解,并与单三分位阻尼弦系统的闭合解进行对比。基于2个系统闭合解的复域特征,分小阻尼和大阻尼2个区间讨论其减振特性。结果表明:1)在不同的阻尼区间,2个系统的本征值表现出相同的共轭特性;2)对称三分位阻尼弦系统的减振效果是单三分位阻尼系统的2倍;3)在小阻尼区间,无论2个系统处于哪一阶运动状态,均不会出现相同的频率,且2个系统的频率构成全体实数域,可为阻尼弦系统的频率共振问题提供潜在的0008全讯注册的解决方案。
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comparison of the attenuation characteristics of a taut string system with single damper and two symmetrical dampers
abstract:to explore the vibration reduction characteristics of a taut string with two dampers, derive the frequency equation, the frequency equation in which dampers are located at symmetric one third of the string length that can be analytically solved is algebraized. the analytical solution of its eigenvalues is obtained, which is further compared with the analytical solution of a taut string with a damper in one third length. based on the complex domain characteristics of the analytical solutions of the two systems, the vibration reduction characteristics are discussed in two intervals: small damping and large damping. the results indicate that: 1) in different damping intervals, the eigenvalues of the two systems exhibit the same conjugate characteristics. 2) the damping effect of a taut string with two dampers located at symmetric one third of the string length is twice as strict as a taut string with one damper located at one third of the string length. 3) in the small damping interval, the same frequency will not occur no matter in which order of motion the two systems are, and the frequencies of the two systems form the entire real number domain, which can provide potential solutions for the frequency resonance problem of damping string systems.
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单阻尼与对称双阻尼弦系统减振特性对比
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