This was my first video on dynamics, so I hope you enjoyed it! Let me know which topics you'd like me to cover next. Don't forget you can watch the companion video on the oscillation of pendulums on Nebula - nebula.tv/videos/the-efficient-engineer-the-oscillation-of-pendulums
Please consider a doing a video on Heat transfer and thermodynamics. I can provide you with many more real world applications and topics as well. Thanks.
I agree with @@babajungLA Heat transfer and thermodynamics would be great. @The Efficient Engineer Although finishing the materials series (polymers, ceramics, and composites) would be very nice. Thank you for all your hard work on these videos. I am always excited to see you post a new video. Creators like you among others are convincing me to sign up for Nebula and Curiosity Stream.
The impact you have on future/beginner engineers is the same as when the forcing and natural frequencies match. You are truly a hero, each of your videos sums a whole semester of useless old boring lectures.
Its absolutely CRAZY how good these videos are, a general university needs HOURS of lectures with static powerpoints to explain something which can be explained like this so efficiently. Its absolutely mindblowing, sadly these videos release a few months after i passed the exam. But that doesn't stop me from enjoying these videos! Thank you sir!
I've already finished my degree in engineering and I still find these videos helpful and amazing, can't believe he summed up in 5 mins what took me weeks to learn. Great work can't wait to watch the next video
Wow. You summarize the whole semester course in 20 min and you made vibration concepts crisp clear. I would definitely recommend your channel to all engineers.
Oh man, really?! I just finished the whole vibration Dynamics in last sem and this video explains all that stuff. One thing I wanna say, the topics you choose are directly connected to the academic syllabus. ◽Keep going!!!
your super educational videos are saving me from depression. i am studying earthquake engineering for master degree and fall behind the class for a few weeks. but your videos are making all missed lectures make sense to me now. thank you. thank you for thousand time.
The best explanation videos on youtube exist on this channel. I truly believe the community you have here is more than happy to watch an hour-long in-depth video series! It would be definitely the best.
This is the single best video which sums up half of mechanical engineering, controls, vibrations, and more. I took so many courses for years and struggle to link them together but this video seamlessly explains the importance of all this theory I've learned. Using this whole channel to prepare for technical engineering interviews, thank you so much for this amazing work!
I'm 3 weeks into a vibrations course and this guy has summarized all of the lecture material in 20 minutes, excluding practice problems and examples! Make sure you do your homework guys.
This video just summarized all of my Structural Dynamics and Earthquake Engineering Course of Master's in Structural Engineering in less than 20 minutes ,Well done.
Started working HELICOPTERS; quickly got to HATE the beasts!!! Ran on a couple mad scientists that used strobe lights, vibration sensors and tuning circuits!!!! One could have a “static balanced”rotor assembly or drive shafts but upon engine start it all goes to HELL ! After much tutorial and hands-on the HELICOPTER was my “bread and butter.” The practical application of this video is beyond great!!!!!
Thank You for posting this: I was an aircraft mechanic for 8 years in the US Navy and trained, schooled, worked on Aircraft Hydraulic Flight Controls Systems, Airframes and Structures, AND LATER, I went to work at Lockheed Space Systems Division Environmental Structural Laboratories where I worked with Vibration/Acoustic tests on spacecraft structures. This video extends my knowledge and understanding of the physics from that experience.
I am automotive, heavy engineering, power train structural designer and analysist and every time read and see related to vibration each time looks like new thing always... explanation and video makes simple and better to understand. Thanks!
2 things i really like about his videos 1. out of the world animations with bright and contrasting colour to understand things like graphs better. 2. his way of explaining a topic like a story
You literally explained such a huge concept with such ease!! People like you can save a lot of people. Your contribution is so vital and essential for the society sir. Keep continuing!!
When i changed my suspension in my car I basically saw this design. A spring holding the cube ( the car.) With a damper (shock absorberer) in the middle. Now i understand better how the vibration acts upon my suspension. Fascinating to se how vibration theory applies in the real world!
The entire basic concept starting from a simple mass spring system to resonance in 20 mins is just awesome. Very well explained with dynamic visuals. 10/10 bro 👍
It's really helpful. I can understand the vibration theory within 20 minutes instead of reading more than 300 pages of document. I can use your instruction to make the design of dynamic solution more effectively. Thank a lot!
I am taking dynamics right now. I might watch this video more than one time just to be ahead of myself. Plus watching this is so satisfying beside that it’s my interest.
😳 All the basics explained in just a 20 minute short video!! And here I was studying it for a minimum of one week. Why didn't I discover this video earlier!! 🤦🏻♀️ You made my life so much easier.
Dude I am a 3rd year chemistry major, and never understood why more mass means less frequency. I googled, looked at textbook which assume the reader already knows, but this video cleared that up. Huge thumbs up from. Appreciate it my bro.
I literally started this course today shared the video with my fellow students and just amazed at the simplicity,visuals, and great content always a treat to get a new video keep up the good work!!
Beautifully explained and visualize Mechanical vibrations... Never thought someone explain these difficult Mathematics and Physics behind this... A VERY BIG THANKS TO YOU
This is how teaching should be done, i understand much better when what i learned is taught in an intuitive way, linked to real world cases and explained well, this so much better than staring at laws written in a textbook with 0 context and a bunch of exercises, thanks alot
You will be blessed forever…best explanations,animations,graphics,resolution of physics videos on internet. You deserve much more subscribers than 400k!
Time 16:10 convertion from algebraic equations to the matrix form is the core understanding of numerical techniques like FEM, CFD... Kudos to the channel for such a beautiful video...
I am a mechanical engineer and your content so incredibly good. This is what everybody shall hear before digging into details during the lectures. Wish you all the best in your life. Thank you.
I'm currently taking vibrations and its such a hard class! This video really helped in understanding the concept of vibrations and resonance. Thank you!!
The Best video explaining this topic i have ever seen , the 3D visuals you add incredible amount of times to understand it , loads and loads of 2D boring graphs that are not letting anyone to actually imagine what happens correctly . Thanks !
Such an amazing and concluding vedio. I am studying vibration course in university .. but this vedio has made a quick and useful state of most of the important topics in vibration. It is like studying for 3 months for just only watching this vedio. Thank you for these epic vedios!
omg… THANK YOU!!! i am doing a senior design project on vibration absorbers in tall buildings for my engineering degree and you literally made this just at the right pace for me.i will for sure be referring you in my paper! 😻
அதிர்வுகளைப் பற்றிய சிறந்ததோர் காணொளி! நீண்ட நாட்களாக இயக்கவிசையியல் பக்கம் வருவதற்கு ஆசை கொண்டிருந்தோம். இன்று நடந்தேறிவிட்டது. பற்பல காணொளிகளை பகிருங்கள். நன்றி!
Understanding vibration has always been challenging for me. Most teachers tend to focus solely on the mathematical aspects, which often disconnects me from the physical concepts. However, I found your video on this topic incredibly helpful and engaging. Could you please create more videos diving deeper into this subject or recommend some additional resources? Thank you once again, and best wishes👍🙂
Amazing Vid as I just finished vibrations for aerospace in master's program. A tip to all ME or AE students who are good at CAD or structure design, jump into modal analysis or linear buckling right away, even in undergrad. These are starting points for a lot of design. Learn how to simulate it before you even take a class, seems counterintuitive. The class shows you the numerical MATLAB/Python way, but you need to go out of your way to learn to simulate it on ANSYS/Abaqus/Solidwors/etc which is what usually shines for job interviews as well.
I really liked this course when I was in school, finally applying calculus and physics to solve time-based problems. Plus it felt so good to get the 2 page long homework problems correct after 30 minutes of writing. This is about one semester and over 200 hours of my life packed in one video haha
Amazing work!! Wish I had access to such a videos in my university times. I am not saying we don't need books anymore, but this proves that one carefully designed animation can help people to connect the dots much much faster.
One really needs to learn the forced damped oscillator, it covers a lot of physics. It's an algebraic equation in the frequency domain, it's totally diagonalizable in multiple dimensions, and it forms the basis of perturbation theory for non-linearities.
Thanks for creating this video. What a simple way to explain the concept which seems to be difficult after looking at text for hours. You saved the day 🙏
In 20 min you covered an engineering topic that took 6 hours to cover in class. Thank you so much! However, I want to thank you for the Curiosity Stream discount, it is my favorite❤❤❤.
You really need to be certified for your great efforts. Without this video, I would've never understood what is going on when a body vibrates! Thanks from my heart, you're a hero!
Nice introduction. What I always enjoy about this subject: it is the gateway drug to understanding electromagnetism and RF/microwave engineering. Many of my engineers have a structural or mechanical background and are usually mystified with RF. But once the synthesizing mathematics of differential equations (especially pde’s and complex analysis) is introduced in relation to modes of operation, damping and resonance, the connections to amplifiers, filters and transmission lines becomes real.
I'm ashamed to say that I had largely forgotten about this a few years after graduation.. but I stumbled upon your channel, and it's inspired me to learn again!
This is amazing. I can just imagine the amount of planning and work that goes into these videos. Great stuff. Fun fact: LRC filters follow the same principles. Great for controlling systems.
Bro what an amazing video you put a lot of work in your videos and that too for free i love it. Our college takes so much money from us but the teaching is incomparable to your videos. 🙏🙏
Excelent video again! I would add two more things: 1. The mode shape does not have an amplitude, there are many ways to normalise the modes (eigenvectors), so the essence of the mode is its shape (relative to the other modes too). 2. A mode of vibration is the very specific way of motion of the system that let the Mechanical Energy constant. A little bit faster/slower, or with other shape, and it will not conserve the energy. (easy to see in the 1dof model)
Many of the topics in this video also apply to circuits as well. I'll be sure to review this video again before taking vibrations next year. Thank you!
omg, you just made my day! the Mechanical Vibration is the most fascinating stuff on whole engineering field imo. ty so much for your work, your explanation are pure gold! from italy
This was my first video on dynamics, so I hope you enjoyed it! Let me know which topics you'd like me to cover next. Don't forget you can watch the companion video on the oscillation of pendulums on Nebula - nebula.tv/videos/the-efficient-engineer-the-oscillation-of-pendulums
Please consider a doing a video on Heat transfer and thermodynamics. I can provide you with many more real world applications and topics as well. Thanks.
I agree with @@babajungLA Heat transfer and thermodynamics would be great. @The Efficient Engineer Although finishing the materials series (polymers, ceramics, and composites) would be very nice. Thank you for all your hard work on these videos. I am always excited to see you post a new video.
Creators like you among others are convincing me to sign up for Nebula and Curiosity Stream.
Heat transfer is probably going to be next. Hoping to cover thermo at some point too, just not sure where to start!
@@TheEfficientEngineer awesome! Keep up the great work man!
Please make a video on acoustic emissions use in pressure tests of tanks covering sensors, preamps theory with animation
The impact you have on future/beginner engineers is the same as when the forcing and natural frequencies match. You are truly a hero, each of your videos sums a whole semester of useless old boring lectures.
I like how you match his efforts with the natural frequency 🫡
This man's channel needs a lot more viewers. His work is exceptional. Thanks much for always giving us quality content.
Absolutely right bro
Agreed
Damn right, this video is absolutely excellent !! :)
I concur
Ikr? Why is this channel not famous? I love every single one of his videos
Its absolutely CRAZY how good these videos are, a general university needs HOURS of lectures with static powerpoints to explain something which can be explained like this so efficiently. Its absolutely mindblowing, sadly these videos release a few months after i passed the exam. But that doesn't stop me from enjoying these videos! Thank you sir!
This dude covers 70% of the semester in just one video
Modern university courses are built to turn morons into specialists, so they tend to be pretty plodding
I agree 😂
I've already finished my degree in engineering and I still find these videos helpful and amazing, can't believe he summed up in 5 mins what took me weeks to learn. Great work can't wait to watch the next video
Wow. You summarize the whole semester course in 20 min and you made vibration concepts crisp clear. I would definitely recommend your channel to all engineers.
That's why his channel includes the term ''effecient''.
Oh man, really?!
I just finished the whole vibration Dynamics in last sem and this video explains all that stuff.
One thing I wanna say, the topics you choose are directly connected to the academic syllabus.
◽Keep going!!!
Recapitulates?
@@PetraKann hey I just wanted to type anything because I was eagerly waiting to see the video that's why!
@@priyansutank understandable! The excitement when we finally understand a difficult concept is a totally different feeling! Cheers!
Same here xP and I can agree on academic point!
@@roshanantony7467 yeah...
your super educational videos are saving me from depression. i am studying earthquake engineering for master degree and fall behind the class for a few weeks. but your videos are making all missed lectures make sense to me now. thank you. thank you for thousand time.
The best explanation videos on youtube exist on this channel. I truly believe the community you have here is more than happy to watch an hour-long in-depth video series!
It would be definitely the best.
This is the single best video which sums up half of mechanical engineering, controls, vibrations, and more. I took so many courses for years and struggle to link them together but this video seamlessly explains the importance of all this theory I've learned. Using this whole channel to prepare for technical engineering interviews, thank you so much for this amazing work!
This is a whole semester worth of dynamical mechanics in under 20 min... Hats off to the efforts in making these visual teaching material!
I'm 3 weeks into a vibrations course and this guy has summarized all of the lecture material in 20 minutes, excluding practice problems and examples! Make sure you do your homework guys.
This video just summarized all of my Structural Dynamics and Earthquake Engineering Course of Master's in Structural Engineering in less than 20 minutes ,Well done.
Started working HELICOPTERS; quickly got to HATE the beasts!!! Ran on a couple mad scientists that used strobe lights, vibration sensors and tuning circuits!!!!
One could have a “static balanced”rotor assembly or drive shafts but upon engine start it all goes to HELL !
After much tutorial and hands-on the HELICOPTER was my “bread and butter.”
The practical application of this video is beyond great!!!!!
Thank You for posting this: I was an aircraft mechanic for 8 years in the US Navy and trained, schooled, worked on Aircraft Hydraulic Flight Controls Systems, Airframes and Structures, AND LATER, I went to work at Lockheed Space Systems Division Environmental Structural Laboratories where I worked with Vibration/Acoustic tests on spacecraft structures. This video extends my knowledge and understanding of the physics from that experience.
Man, as a mechanical engineer who studied vibration dynamics, I really really appreciate your efforts and this fabulous explanation bout vibration
I am automotive, heavy engineering, power train structural designer and analysist and every time read and see related to vibration each time looks like new thing always... explanation and video makes simple and better to understand. Thanks!
2 things i really like about his videos
1. out of the world animations with bright and contrasting colour to understand things like graphs better.
2. his way of explaining a topic like a story
You literally explained such a huge concept with such ease!! People like you can save a lot of people. Your contribution is so vital and essential for the society sir. Keep continuing!!
I didn’t fully understand the damping mechanism in AC circuit analysis until I watched this video in a completely different field, I feel blessed!
When i changed my suspension in my car I basically saw this design.
A spring holding the cube ( the car.) With a damper (shock absorberer) in the middle.
Now i understand better how the vibration acts upon my suspension.
Fascinating to se how vibration theory applies in the real world!
The entire basic concept starting from a simple mass spring system to resonance in 20 mins is just awesome. Very well explained with dynamic visuals. 10/10 bro 👍
As a manager of an R&D department, who hasn't gotten into the weeds in some while, this is EXTREMELY useful and much appreciated.
It's really helpful. I can understand the vibration theory within 20 minutes instead of reading more than 300 pages of document. I can use your instruction to make the design of dynamic solution more effectively. Thank a lot!
I am taking dynamics right now.
I might watch this video more than one time just to be ahead of myself.
Plus watching this is so satisfying beside that it’s my interest.
Do you know any RUclips channels that explain exercices in dynamics ?
@@enami_0136
Yessir
Try (questions and answers)
That channel is awesome
Or just write dynamics in RUclips
You’re gonna get variety options.
@@qudhachure9598 thank you
Oh boy can't wait to take vibration class in a few semester, surely this will help. The QUALITY!!!
Just rewatched failure theories
This is going to be great.
Your videos are carrying future engineers single handedly.
😳 All the basics explained in just a 20 minute short video!! And here I was studying it for a minimum of one week. Why didn't I discover this video earlier!! 🤦🏻♀️ You made my life so much easier.
Dude I am a 3rd year chemistry major, and never understood why more mass means less frequency. I googled, looked at textbook which assume the reader already knows, but this video cleared that up. Huge thumbs up from. Appreciate it my bro.
Geez, the guy made all topics from my mechanical vibration class clear now
I literally started this course today shared the video with my fellow students and just amazed at the simplicity,visuals, and great content always a treat to get a new video keep up the good work!!
The amount of studying you have to do to make this kind of videos must be huge, thank you!!!
Beautifully explained and visualize Mechanical vibrations... Never thought someone explain these difficult Mathematics and Physics behind this... A VERY BIG THANKS TO YOU
This is how teaching should be done, i understand much better when what i learned is taught in an intuitive way, linked to real world cases and explained well, this so much better than staring at laws written in a textbook with 0 context and a bunch of exercises, thanks alot
I wish this channel existed when I was in college but still great refresher. Thank you and keep up the great work!
This is one of the bet videos on vibration I have never watched explaining all the equations and their realtion in one go..
You will be blessed forever…best explanations,animations,graphics,resolution of physics videos on internet. You deserve much more subscribers than 400k!
Time 16:10 convertion from algebraic equations to the matrix form is the core understanding of numerical techniques like FEM, CFD...
Kudos to the channel for such a beautiful video...
I am a mechanical engineer and your content so incredibly good. This is what everybody shall hear before digging into details during the lectures. Wish you all the best in your life. Thank you.
I'm currently taking vibrations and its such a hard class! This video really helped in understanding the concept of vibrations and resonance. Thank you!!
The Best video explaining this topic i have ever seen , the 3D visuals you add incredible amount of times to understand it , loads and loads of 2D boring graphs that are not letting anyone to actually imagine what happens correctly . Thanks !
Such an amazing and concluding vedio.
I am studying vibration course in university .. but this vedio has made a quick and useful state of most of the important topics in vibration. It is like studying for 3 months for just only watching this vedio.
Thank you for these epic vedios!
Great work, very eye opening as civil engineering student having hard time understanding seismic activities (ES EN 1998).
Your videos have given me a better deep conceptual understanding than nearly all the lectures I've had in 4 years of Mech Eng, thanks dude
This was for me, the hardest class in the whole Mechanical Engineering syllabus.
Its close between this and control systems engineering.
omg… THANK YOU!!! i am doing a senior design project on vibration absorbers in tall buildings for my engineering degree and you literally made this just at the right pace for me.i will for sure be referring you in my paper! 😻
அதிர்வுகளைப் பற்றிய சிறந்ததோர் காணொளி! நீண்ட நாட்களாக இயக்கவிசையியல் பக்கம் வருவதற்கு ஆசை கொண்டிருந்தோம். இன்று நடந்தேறிவிட்டது. பற்பல காணொளிகளை பகிருங்கள். நன்றி!
This is almost a bachelor's semester course. That too precise to the point . Thanks man, you are doing god's work.
Understanding vibration has always been challenging for me. Most teachers tend to focus solely on the mathematical aspects, which often disconnects me from the physical concepts. However, I found your video on this topic incredibly helpful and engaging. Could you please create more videos diving deeper into this subject or recommend some additional resources? Thank you once again, and best wishes👍🙂
I knew all of this but the way you explained it makes me wish you uploaded this earlier, so well put together its amazing thank you
same lol, i had vibrations the previous semester.
Amazing Vid as I just finished vibrations for aerospace in master's program. A tip to all ME or AE students who are good at CAD or structure design, jump into modal analysis or linear buckling right away, even in undergrad. These are starting points for a lot of design. Learn how to simulate it before you even take a class, seems counterintuitive. The class shows you the numerical MATLAB/Python way, but you need to go out of your way to learn to simulate it on ANSYS/Abaqus/Solidwors/etc which is what usually shines for job interviews as well.
I really liked this course when I was in school, finally applying calculus and physics to solve time-based problems. Plus it felt so good to get the 2 page long homework problems correct after 30 minutes of writing.
This is about one semester and over 200 hours of my life packed in one video haha
These videos are simply amazing. They should be a mandatory part of all university curricula.
Amazing work!! Wish I had access to such a videos in my university times. I am not saying we don't need books anymore, but this proves that one carefully designed animation can help people to connect the dots much much faster.
This video is such densely packed with information, I learned more in this video than my 2hr lecture in University/zoom.
The cover visual for this video is very engaging and never would I expect to want to relearn this topic again
One really needs to learn the forced damped oscillator, it covers a lot of physics. It's an algebraic equation in the frequency domain, it's totally diagonalizable in multiple dimensions, and it forms the basis of perturbation theory for non-linearities.
Awesome... As an automotive design Engineer. I bow to you for your excellent explaining video. ❤️ To support you!
one of the greatest channels of all time. engineering wouldn't be the same without you
It's one of the most important concepts in my field, above all in electroacoustic analogies for systems as: microphones, loudspeakers, etc.
Extremely helpful to a chemical engineer trying to understand the dynamic systems I am now working on.
Dude, I don’t know who you are, but this was the best educational format I’ve ever seen. Great job. Thank you.
Omg, I wish I’ve watched this video during my Mechanical System Dynamics and Vibration mechanics classes…Amazing job lads!
You are a 1000X better at example fundamental than the majority university professors!!!! Keep making videos!!! Thank you!!
Truly incredible work. Took statics and dynamics 3 years ago and need it for a class now. This was a great refresher
Thanks for creating this video. What a simple way to explain the concept which seems to be difficult after looking at text for hours. You saved the day 🙏
In 20 min you covered an engineering topic that took 6 hours to cover in class. Thank you so much! However, I want to thank you for the Curiosity Stream discount, it is my favorite❤❤❤.
You really need to be certified for your great efforts. Without this video, I would've never understood what is going on when a body vibrates! Thanks from my heart, you're a hero!
After completion of my master, I got more clearer idea of theoretical notes. Thank you.❤
Nice introduction. What I always enjoy about this subject: it is the gateway drug to understanding electromagnetism and RF/microwave engineering. Many of my engineers have a structural or mechanical background and are usually mystified with RF. But once the synthesizing mathematics of differential equations (especially pde’s and complex analysis) is introduced in relation to modes of operation, damping and resonance, the connections to amplifiers, filters and transmission lines becomes real.
I learnt more in this video than in 2 months worth of lectures.
Best of all engineering story telling video editor, indeed the proficient engineer.
I'm a student of physics, this is so awesome. Thank you.
I'm ashamed to say that I had largely forgotten about this a few years after graduation.. but I stumbled upon your channel, and it's inspired me to learn again!
Ultra-high quality videos. It provides the content for a semester.
Have an exam on this topic two days after he is posting this. This man has a sixth sense for video timing!
This is amazing. I can just imagine the amount of planning and work that goes into these videos. Great stuff.
Fun fact: LRC filters follow the same principles. Great for controlling systems.
Good to know
i came for that, and still got the whole concept.
Great job sir. It took 15 days to understand the theories in college. But you have cleared theory as well as visualisation too with 20 minutes.
My fav subject in undergrad and studied it in grad for my masters. Awsome presentation.
Bro what an amazing video you put a lot of work in your videos and that too for free i love it. Our college takes so much money from us but the teaching is incomparable to your videos. 🙏🙏
The quality of this channel is over the top
Very clear and simple, helped me to remove rust from what i have learned in the college
Excelent video again! I would add two more things:
1. The mode shape does not have an amplitude, there are many ways to normalise the modes (eigenvectors), so the essence of the mode is its shape (relative to the other modes too).
2. A mode of vibration is the very specific way of motion of the system that let the Mechanical Energy constant. A little bit faster/slower, or with other shape, and it will not conserve the energy. (easy to see in the 1dof model)
This is the highest quality engineering video I've ever seen
Got it on immediate time for my vibrations class thank you!!!!!!!
SAME HERE !
Principles of physics 1 online?
Same. Exam this Thursday
Same haha 😂
I even learnt this today morning thank you!!!
How this guy explains things is just exceptional !
I just started my vibration class so this came at a perfect time. Thanks!!
Mode 3 is my dance technique...
What slick video. I looove a soundly formed explanation.
Your explanation is simply beautiful: cleaver, precise, comprehensive and elegant. Science is a beauty reunion of inteligence and perception.
One of the finest explanations floating all over internet. Thanks and all the best!!
Now *this* is some real engineering, presented very efficiently when played at 1.5 speed :). Very well done!
You deserve a lot more subs. Please continue uploading. Your content is exceptional
20 min on this channel is more efficient than 5 hours trying to translate my teacher's note
What a beautiful lecture,it conclude the whole vibration in just 20 minutes,your all videos are really really helpful.thanks
This guy always knows when to come through
I do civil/structural work but I think a video on thrust/propulsion would be awesome and good compliment to your current aerospace vids.
Many of the topics in this video also apply to circuits as well. I'll be sure to review this video again before taking vibrations next year. Thank you!
omg, you just made my day! the Mechanical Vibration is the most fascinating stuff on whole engineering field imo. ty so much for your work, your explanation are pure gold!
from italy
i just discovered this channel...bro this is like the eden for me... what a beatiful job you have done props to you