- #1

HimanshuM2376

What is the condition for resonance to occur in case of underdamped forced vibrations?

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- Thread starter HimanshuM2376
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- #1

HimanshuM2376

What is the condition for resonance to occur in case of underdamped forced vibrations?

- #2

anorlunda

Staff Emeritus

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lack of negative feedback

- #3

berkeman

Mentor

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And the frequency of the vibrations = ______ ?

- #4

HimanshuM2376

Can you please elaborate?lack of negative feedback

- #5

anorlunda

Staff Emeritus

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Can you please elaborate?

Negative feedback causes damping. Less feedback, less damping. The tricky part comes with the phase relationship of the feedback. It is bet described with mathematics, data and graphics.

Try reading this article.

https://en.m.wikipedia.org/wiki/Resonance

- #6

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- #7

HimanshuM2376

Thanks. What I want to know is that for an underdamped system undergoing forced vibration the maximum amplitude occurs when the excitation frequency is less than natural frequency when we increase the value of damping ratio.

- #8

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- #9

tech99

Gold Member

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I believe this is equivalent to the electrical analogy of a parallel resonant circuit. Resonance is sometimes defined as the frequency when current and voltage are in-phase. But for the heavily damped parallel circuit, this frequency does not coincide with maximum amplitude.Thanks. What I want to know is that for an underdamped system undergoing forced vibration the maximum amplitude occurs when the excitation frequency is less than natural frequency when we increase the value of damping ratio.

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