Logarithmic decrement: Difference between revisions

Revision as of 23:15, 4 May 2020

Revision as of 23:15, 4 May 2020

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The damping ratio can be found for any two adjacent peaks. This method is used when {{nowrap|1=''n'' = 1}} and is derived from the general method above:

: <math> \zeta = \frac{1}{\sqrt{1 + \left(\frac{2\pi}{\ln (\frac{x_0}{x_1})}}\right)^2} </math>

where ''x''₀ and ''x''₁ are amplitudes of any two successive peaks.