Resonant Frequency of a Dynamic System

[@ChristopherLum]

In case it is helpful, here are all my Control Theory videos in a single playlist kzbin.info/aero/PLxdnSsBqCrrF9KOQRB9ByfB0EUMwnLO9o. Please let me know what you think in the comments. Thanks for watching!

[@capitansheriff7426]

hello. I can't seem to locate the video on Frequency domain analysis. kindly help me find it

[@AimeePak]

AE511: Thanks for the great lecture! It's very helpful to see the three different frequencies (natural, resonant, damped) talked about together. I liked the plot of the radial differences between the resonant and damped frequencies (22:50). Helped me visualize the impact of zeta.

[@ahungryflyer]

AE511: Thanks for touching on the definitions and potential confusion of resonance frequency vs undamped/damped natural frequency as well as the critically damped definition. After utilizing these terms in previous coursework - it is good to finally get the definitions from a pure controls perspective. I enjoyed the local example of the Tacoma narrows bridge.

[@christofferfink5049]

A little warning for anyone following along at home: at 5:30 the numerator for beta should have omega_n cubed, not squared. (The correct expression for beta is shown in Mathematica at 7:23)

[@franckso5894]

Good lecture, Cristal clear. Thanks.

[@ChristopherLum]

I'm glad it was helpful thanks for watching!

[@bhawya2564]

Simple and easy explanation thank you

[@ChristopherLum]

Hi, Thanks for the kind words, I'm glad you enjoyed the video. If you find these videos helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. I can also answer any questions, provide code, notes, downloads, etc. on Patreon. Thanks for watching! -Chris

[@mattschierholtz2554]

Thanks for so clearly differentiating between resonance frequency and natural frequency

[@quantabot1165]

yea let's go, so excited always to hear a lecture from you Professor! This is getting better and better

[@thuvuong3144]

Thanks for the lecture. That's exactly what I need.

[@ChristopherLum]

I'm glad it was helpful thanks for watching!

[@Gholdoian]

AE 511: Cool video, I've always used resonant and natural frequency interchangeably but now realize they are different. It's also nice seeing some origin of the 0.707 zeta value. I don't think I've had someone explain to me why that value is common.

[@nathanlipshutz3140]

AE511: Very interesting discussion. I didn't realize there was a difference between natural and resonant frequencies. I also didn't know there were two interpretations of critically damped.

[@krystoflis7157]

Great overview! Thanks Chris

[@sethwhittington28]

AE511: Thanks for the lecture. For a real world system it seems like it would be really helpful to determine the resonant frequency via this simple equation.

[@bradleyparks1982]

Great video!

[@selamhendrix5252]

thank you for the lecture

[@wes1588]

Good lecture.

[@quantabot1165]

A doubt, at 23:00 the graph drawn, what happened to the 1/wn factor...im just curious. so the graph is basically 1/wn[wd-wr] against damping ratio right?

[@King-Professional]

They are plotting the difference approximately. Even if we multiply any number to the difference the graph would just scale up/down. No change to critical point 0.7

[@nathanlipshutz3140]

AE511: Physically speaking, what causes the natural frequency, damped natural frequency, and resonant frequency to be closer or farther apart?

[@ChristopherLum]

It is usually a combinations of factors but at the end of the day, it is whatever goes into the calculation of wn and zeta in your 2nd order equations. For a mass/spring/damper this might be a combination of mass, spring constant, and damping constant.

[@gamaksaraswat7589]

I have 1 doubt please clarify it. I don't get the point when you explain 0 < 0.707 < 1, it means that 0 < zeta < 1 but the system is critically damped. Please help me to understand this point. The content delivery is awesome, I appreciate the efforts put by you in making this concept clear. Please reach out to my query, as it will prove of great help. Thank you

[@kristenleenerman1351]

Overview of resonant frequency

[@edwardsanchez2331]

ae511 good lecture

[@justinhendrick3743]

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[@darylfishback-duran3580]

Ae511

[@_r1nky]

Left handed boizzz

[@jawh1553]

I just can not thank you much more

[@gitarplayer13]

AE511

[@kaisemuw7074]

AE 511

[@alanlee4326]

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[@brianhumphreys5161]

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[@MattAero]

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[@christophersanchez2256]

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