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公式ζ=Δf/2f_(dm)[见公式(11)]是工程上最常用的用图解法估计单自由度振动系统粘性阻尼比的近似公式。但是,该式在阻尼较大时过于粗糙;在阻尼过小时,测量误差则随着增大。这些误差随系统阻尼变化的关系曲线,可以由计算机作出,考察这些曲线,可以看出该式合理的应用范围。本文还在进行误差比较的基础上,建议在系统阻尼较大时,采用精确公式ζ=(2~(1/2))/2)、1-f_(dm)/f_(am)~(1/2)[见公式(25)]来测量系统阻尼。
The formula ζ = Δf / 2f_ (dm) [see Eq. (11)] is the most commonly used approximation formula for graphically estimating the viscous damping ratio of a single degree of freedom vibration system. However, this equation is too rough when the damping is large, and when the damping is too small, the measurement error increases. These errors with the system damping changes in the relationship curve can be made by the computer, examining these curves, we can see that the type of reasonable range of applications. Based on the error comparison, it is suggested to use the accurate formula ζ = (2 ~ (1/2)) / 2), 1-f_ (dm) / f_ (am) / 2) [see equation (25)] to measure the system damping.