19. Introduction to Mechanical Vibration

MIT 2.003SC Engineering Dynamics, Fall 2011
View the complete course: ocw.mit.edu/2-003SCF11
Instructor: J. Kim Vandiver
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
More courses at ocw.mit.edu

[@vladimirsviridov3329]

Respect to the camera/sound crew! Very well recorded and filmed!

[@TheDemonofallMusic]

Welcome everyone, the algorithm has brought us together once again

[@gunnwoo_]

이거 맞지

[@flex209]

Curiosity brought me here.

[@themarvellouschannel3032]

I searched for it.

[@SeaWiseBrain]

I just searched it but hi!

[@MasterCivilEngineering]

Welcome

[@thesingleszonechannel1413]

Thank God for people likethis lecturer!! Proud to be an Engineer! !

[@angelahall4402]

No God required! That is the beauty of it!

[@automd976]

kzbin.info/www/bejne/eYSUk2ekf9Rlfdk

[@psnb2573]

Elvis Charles kzbin.info/www/bejne/imOxqn2jnpqWbdU

[@leojoy9347]

@@angelahall4402 god req for everything

[@muhammadtariqomer4733]

Angela Hall God is required dear. Where the hell this complicated brain machine has come from? From nowhere if sorry you need to revisit your common sense.

[@dozog]

Watched the whole class, would like to applaud for great refresher of stuff learned 30 years ago. Thanks for uploading.

[@maxajames]

It is very satisfying to hear the sound the chalk piece makes with the blackboard.

[@discretelycontinuous2059]

A key part of what makes the MIT lectures so great to watch

[@Edmund007013]

What a great professor.......he uses examples to show natural frequencies of various objects and then mathematically explains it. Vibration expertise is very important to Engineering but is very difficult to learn. You must do many problems before it "clicks".

[@chinyerenwankwo1245]

I really needed this. I'm taking structural dynamics this semester and the first lecture I received was a 3hr class that lecturer didn't stand up once to explain anything. He sat through the whole class and read from his slides. Thank you for this

[@ricardo4fun922]

So far, one of the best lectures of the course, very good.

[@Phatheading]

Amazing lecture. Really explained the mathematical ground-work and the physical meaning behind it.

[@beichuanqi4508]

This is really a perfect introduction to vibration theory, Prof. Vandiver really made it easy to digest! Strongly recommend this to you all.

[@vikaskuntal7177]

Fuck this explanation bcoz this is not modify vibration

[@georgesadler7830]

Professor Vandiver, thank you for an incredible lecture on the Introduction to Mechanical Vibration. Mechanical Vibration is a very important third year class for Mechanical Engineering students. All students majoring in Mechanical Engineering should master these concepts before taking Mechanical Vibrations.

[@BoZhaoengineering]

When I was in college, my lecturer missed dynamic part. It is very important and hence useful topic for practice engineers alongside with Fourier transform. Excellent lecture ! I am learning this part.

[@vkpots]

Just stumbled on this while working on a dynamic balancer. I hadn't seen this good of a simple derivation of spring, mass, dashpot in years. It flowed nicely like an old song and warmed the cockles of my heart. Stu Fields BSEE

[@silentflexseismiccontrol228]

That is the better way to explain all Mechanical Vibration basics I've never seen. Fine, such a fantastic Lecture! Isn't it? Right now, seeking the complete course...

[@MrMcada]

thank you for the lectures! Really enjoyed this one, even though it took me about two hours to get through it greetings from TUL, Czech Republic

[@arnabbhattacharya1992]

Really nice explanation. Thanks, from India!

[@chaitanyasurepally8249]

Its really fantastic & i am very much convinced with the approach used to find out the critical damping. Thanks a lot for such a great lecture sir.

[@lorklorkman7937]

I agree with Dr. Vandiver up to a point. The kinetic vibration from a K1 and K2 facilitated solution has to be met with proper centrifugal force applied properly. I am excited with the new development of Euler's Formula to prove true kinetic energy displacement. MIT has allowed me to broaden Euler's Formula and has allowed me to truly invent the way kinetic motion through displacement exists. This will actually be covered in my theses. 7.5 years at MIT and I am finally starting to visualize the light at the end of the tunnel.

[@davidwroblewski7215]

I am currently studying a mechanical engineering course in the uk and this video saved me on my CW when it comes to damped vibration and the experimental data analysation. amazing video keep doing what you love

[@premreddy4800]

Hi

[@DanielRodrigues-wq1rl]

Que lindo, qualquer pessoa no mundo poder te a oportunidade de assistir aulas direto do MIT, como eu, aqui em uma pequena cidade do Brasil.

[@aerodynamico6427]

Pacho, Pacho!

[@stevenshum83]

I feel like the school should teach mechanical vibration before quantum mechanics, since it helps a lot in understanding the wavefunction

[@pranavjathrey9702]

💯

[@RuneScapeQuestMaster]

Your simplifying how far it goes on a grand scale

[@changethematrix]

This was awesome. Thank you. Very straightforward explanation of the basics.

[@nafe2437]

great resource keep it up MIT

[@RS9World]

I need more lectures on Mechanical Engineering. Eng. Dynamics are good but I need others too!

[@ayushgupta5061]

wow ...the basics have been taught very nicely

[@wandergrv]

Really nice videos! Congratulations!

[@bmphil3400]

Some of the greatest examples of vibration that people can relate to are tires out of balance and spinning washing machines out of balance..... Your shocks or struts in your car are dampers that absorb forcing functions such as potholes or seams on the freeway and hopefully keep you away from the natural frequency.

[@flavioing1]

Thank you very much Professor and MIT service.

[@leonardocai7394]

thanks for improving of engineering knowledge

[@benevantmathew]

Time delay is phi(phase angle) over omega n(natural frequency).

[@zywang2793]

this is why this school is called MIT, thanks professor

[@Civil.Structural3000]

This was absolutely wonderful and helpful. Many thanks for sharing this video.

[@ranteraptorkiller]

VERY GOOD VIDEO, MAKE ME CAN EASY TO CALCULATED Mechanical Vibration.

[@gauravpangarkar]

+Logxn 😂😂

[@psnb2573]

Jakobus Rante kzbin.info/www/bejne/imOxqn2jnpqWbdU

[@bobtannous6541]

wonderful presentation

[@aydagr3219]

This video is the reason that I finally learnt damping . Thank you so much!

[@christophermeyers1]

After seeing the quality of the instruction in these courses I understand why it means something different to go to these schools - compared to my 100% acceptance local engineering university... for a professor to exhibit this level of organization, eloquence, and lucidity is truly something special... would be fantasy at ATU...

[@williambradley835]

In reality there’s only one way mechanical vibration works. Sadly if you were taught otherwise it was just incorrect. Some people are better at explaining to the masses than others but the solutions should be exactly the same.

[@hebertocraftyt]

My third world university is shit, full of low IQ professors that don't know the subject. The difference of this class and my college is extremely big

[@steveyorke1230]

You mean Accra Technical University?

[@christophermeyers1]

@@steveyorke1230 Nope, Arkansas Tech University

[@christophermeyers1]

@williambradley835 Yes, I mean that the quality of this explanation is much higher than any that I ever received at my university. Of course, the engineering is the same, but instead of learning it from lectures we mostly had to teach ourselves!

[@gabrielbrasil7989]

Great explanation. thanks, from brazil!!!

[@Borntowin894]

Ich brauche mehr Vorträge zu vielen Themen, bitte

[@Carrillo17]

Damn...it's been like 20 minutes into the video and I'm completely lost but surely entertained. I am a mechanical drafter but I'm considering going back to school for mechanical engineering and this is like Chinese to me lol. The hardest level of math I completed was trig and algebra 3. I thank this man for sharing his knowledge, so awesome :)

[@MrBulat1990]

Algebra 3? Do you mean precalculus?

[@grijwoww]

Jesus Carrillo that is probably why you can't get it. Iam currently coursing mechanical engineering and this subject belongs to my sixth term. Of course you don't get it, hahaha.

[@zagrevyum08]

Excelente clase !!!! saludos

[@AvivMakesRobots]

Really great content. Thanks!

[@MasterCivilEngineering]

Step by step video solutions of civil engineering questions

[@malcolmanderson1279]

Having problems with vibration. Comes from downstairs a apartment below me. I dont know how or why and my manager of the apartment can't help unless I can prove my point. So I am interested in any thing have to with vibration and how its cause and why someone use it and how they can make vibrates/Vibrations upstairs. HELP PLEASE

[@bharath_rbp]

physical intuition of damping ratio (i.e. less the damping ratio doesnot mean it will vibrate for more time, it's actually take more number of cycles to decay the vibration amplitude) is lit

[@victorkkariuki]

Great lecture

[@ebiros2]

This knowledge must have been a holy grail to ancient people (and also to some of us). How do you compute Q from the damping ratio?

[@pegahbh8550]

thank you so much, you make more easier for me

[@user-cm3ep8kg7q]

رَبّيَ يَوَفَقً الُجْمٌيَْع

[@patricknday833]

I really enjoyed the lessons thanks teacher and I'll like to get your books and i don't know what to do so i can get them

[@chengzeng4978]

great reminiscent

[@ShabbirHussainy]

just awesome..

[@mdaftabuddin3130]

Thank you sir for your lecture

[@horstselzer8867]

this is very good and super course of Basics Vibration.top prof.

[@jonathanlanders9406]

Very helpful.

[@siviwemrausi9758]

great video

[@opsorryyt]

please solve this Mcqs Thank you. 1) All vibrating bodies have following Degree of Freedom: a)1 b)2 c)3 d)4 . 2) The frequency of vibrations with increase of damping in the case of free vibrations with coulomb damping will A.Remain the same B.Increase C.Decrease D.May increase or decrease depending upon the damping coefficient

[@Anomander888]

Haven't a clue what he's talking about , But he makes it sound interesting 🤔

[@engineeringtrainingideas2334]

EXCELLENT TOPIC WHAT IS RECOMENDED VIBRATION LEVEL FOR A PUMPS ,

[@Cagyfhnyo]

Thank you ..Bless you

[@JosueA_455]

How could I obtain the relevant acceleration by taking into account the Fourier transform? Because if you use the Simple Harmonic Motion, acceleration will always increase as frequency increases. In reality, structures are affected by certain frequency. So, how can I consider both the peak acceleration and the frequency in which my structure will have resonance effects?

[@hamadaguemar6006]

merci monsieur pour ces cours

[@NisseOhlsen]

Thank you very much for providng us with such a great lecture.

[@ahmedalgarray8333]

nice job. Thanks

[@JuanManuelGarcia_machine]

I am really grateful for this content. It allows me to learn so much. Thanks you so much, MIT. I really appreciate it. I believe there's a "issue" in one of the equations. When the professor analyses the value of s for values of etha bigger than 1. I believe he misses a factor of w in the second term of s. 47:33

[@psnb2573]

Juan Manuel Garcia kzbin.info/www/bejne/imOxqn2jnpqWbdU

[@ancientbehemoth6448]

Thank You! :)

[@cisuris]

You are amazing, thank you

[@qreeves]

Thanks, I try

[@jackdeago3639]

Thank you so so so much

[@kabandajamir9844]

So nice thanks sir

[@ziecbizi2975]

This is a essential lessions for students from 16-18 years old in VietNam. Too hard to study in that age

[@youssefmahmoud7605]

Do you take in that much detail of calculus, I doubt it!

[@guduriharsha2534]

Hi Professor thank you for the information, I didn't get the clarity on Phase angle

[@JohnFHendry]

Why'd he use a dice? There are no dice.... e{a}/t=hv. A 5th above is a 4th below. So... can I put a KK2 controller board right next to the motor if I balance my prop with the motor? That's what I need to know before the operation..... Mass spring dashpot... I'll try to remember that term. Sounds important;-)

[@abhishekgaur7141]

Is there some lactures on governor on mit? Pls share link...

[@user-hu4ir4gc4s]

It is good lesson for me.

[@sohibalokosh]

what is the reasons of natural freq. ? and what is the energy is produce this freq. ??

[@zayeemshafiq1887]

1:07:59 should have been (n)(zeta)(omega n)(tou d) Rest the video is awesome, this is not much of an error, just in case someone finds it confusing

[@Luiferhoyos]

16:48 Why are they equal?

[@MrRomulocunha]

cuz in a static analysis there is no motion, therefore no velocity and no acceleration so both x double dot and x dot are zero. which means (k1+k1)xs=l/2(k1-k2)

[@jorgesolorio620]

plug in ks

[@damianblandi4294]

@@MrRomulocunha but why is it cero? I mean why do they cancel each other in that ecuation?

[@chrissjoroos9884]

​@@damianblandi4294 When ignoring the dynamic forces, (k1+k2)xs=l/2(k1-k2), which means when plugged back into the equation involving dynamic forces, you can cancel like terms. Think of "(k1+k2)xs" and "l/2(k1-k2)" in terms of a variable "x". if you were to rewrite the equation in terms of this new variable "x", you could subtract x from both sides and cancel them out resulting in cero.

[@gersongabriel3984]

He calculated Xs one step before, then you just substitute Xs now for the static case and you will see

[@amalsuresh1783]

excellent

[@jackdeago3639]

Lectures about Lagrangian &Hamilton mechanics

[@RuneScapeQuestMaster]

I gave up on this but what i know from the past this needs more work sir

[@johnstfleur3987]

HEAVEN.

[@jeffreyschmiedeck4254]

Being a Machinist my experience with vibrations was with chatter on a part !

[@user-fv7ki2yz6h]

Hello Could I get the book title used to support the course please

[@mitocw]

There are no required textbooks for this course, but suggested readings are drawn from the following texts: [Hibbeler]= Hibbeler, Russell C. Engineering Mechanics: Dynamics. 12th ed. Prentice Hall, 2009. ISBN: 9780136077916. [Williams]= Williams, J. Fundamentals of Applied Dynamics. John Wiley & Sons, 1995. ISBN: 9780471109372. See the course on MIT OpenCourseWare for more info and materials at: ocw.mit.edu/2-003SCF11. Best wishes on your studies!

[@sahilrajeshgajbhiye4968]

ty very much sir

[@jamesglimco4371]

Are all mechanical engineering courses this hard or is it just MIT?

[@veereshg3761]

som super explain

[@billskinny7639]

“This is just the basic intro to 2004” Omfg.

[@benisdumb]

he also teaches a class on comb overs.

[@erinsam7821]

Why aren't there lectures for 2.004, Dynamics & Control II, MIT OCW? So many course on OCW for Mechanical Engineering lack lectures...many courses lack lectures. Wish it would get filled up.

[@mitocw]

The main reason is money. MIT contributes 1M+ every year to MIT OpenCourseWare. Even with that funding, we are only able to record a limited number of full courses each year (~12 courses). We try and prioritize which courses we can publish by a number of factors. Unfortunately, 2.004 has not made the video lists. Maybe sometime in the future we will get funding and time to recording 2.004. We do have materials for 2.004, just not videos: ocw.mit.edu/courses/mechanical-engineering/2-004-dynamics-and-control-ii-spring-2008/. Best wishes on your studies!

[@pallavipallavi8560]

thank u sar

[@dank2265]

I can finally afford to go to MIT

[@benberlowitz6381]

Anyone else still in high school just midway through AP calculus and AP physics 1 and have no idea what he’s talking about?

[@michaelterrell5061]

8th grade hoping to get there.

[@WarsameCabdillahi]

Great lecture but at minute 48:38, there is an omega term missing after the plus and minus. isn't it?

[@youmah25]

+Warsame Cabdillahi he's human after all and we do mistakes

[@Quickscopesproz]

+Youcef Mahdadi Not really acceptable when ur a teacher of the field... Especially if ur a prof at the worlds best university...

[@NLUSJPFRCH]

How can you hold the professor up to impossible high standards? He makes a small mistake and you think it is unacceptable? You may want to change your attitude and accept everyone makes mistakes no matter who they are.

[@RuneScapeQuestMaster]

Wow I can't find a video now thay I can't find on sysmic vibrations and in hand with mechanical vibration but I'd like to hear your side on the matter I please sir

[@hosseinmansouri5226]

nice .perfectly.

[@HughJorgan1]

I always imagine young Sheldon sitting in the front row for these lectures.

[@clairespeight4143]

hugh jorgan haha lol he will be like “ but sir the resonance is false using my knowledge as I’m truly smart I know that you are wrong as using my scientific mathematical brain I have created a new form of a new species using electronically structured material to then drown in a heated lake until I have made an alien from mars” I don’t know what I said but merry Christmas man

[@bmphil3400]

Sheldons are there.....I met a few in Engineering classes......I was an A- B student in these level of classes.....some guys could work months ahead in the book.....prodigies.

[@iftekharulislam5857]

X refers to displacement

[@waronsisuA4]

東大と問題はどっちの方が難しいのかな

[@gopikrishnabachina9232]

at 1:02:09 added mass is not the correct reason for that because gravity works independent of mass.specially in case of simple harmonic motion. it may be resistance offered by water that is may be drag force. i think so

[@vikaskuntal7177]

Mass depends on gravity not vibration...ur explation is worng ...so u not perfect

[@JJ721999]

Imagine paying half a million dollars to go to one of the best schools in the world, then they post all your lectures on youtube.

[@tumdeax]

Will Hunting "You dropped a hundred and fifty grand on a education you could've gotten for a dollar fifty in late charges at the public library."

[@y.z.6517]

They are all free anyway. You just need to borrow text books which explain in more detail from libraries.

[@y.z.6517]

It's the informatic age. Knowledge is no longer power. It's your brain and time that are valueable.

[@7177YT]

you pay for the certificate not the stuff ypu learn.

[@user-vi3pi9rf7w]

@@tumdeax Yup that's the movie