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1.2 Second-order systems - MIT OpenCourseWare

1.2 Second-order systems - MIT OpenCourseWare

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oscillate if the damping b were zero. The damping ratio ζ is the ratio of the actual damping b to the critical damping bc = 2 √ km. You should see that the critical damping value is the value for which the poles are coincident. In terms of these parameters, the differential equation (1.33) takes the form 1 d 2x 2ζ dx + + x = 0. (1.41) ω2 ...

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