Finding Transfer Function of a Mass Spring Damper System

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This particular video is about how to find the transfer function of a mass-spring-damper system. This is is an extremely important mechanical control system. This is one of the fundamental transfer function exercises which everyone needs to understand in order to derive the transfer function of more complex systems. Mass, spring and dampers are basic components of almost every mechanical systems. This video is for graduate students who are taking a control system course. In this video, the instructor Dr Tahir Yaqub derives the transfer function of a control system that has a mass and spring and damper are attached to that mass.
The full course on control systems engineering of which this video is a part is for students of graduate and postgraduate level who are taking control systems as one of their subjects, or for someone who wants to pursue their career in electrical engineering, mechatronics engineering, mechanical engineering or telecommunication engineering.
This video shows some of the prerequisites and the contents of this upcoming course.
Some of the topics of this course include the following:
1. Open-loop and closed-loop control systems.
2.Time response of first-order control systems.
3. Time response of second-order control systems.
4. s-plane System Stability
5. Bode plots
6. Nyquist Criterion
7. Gain and phase margins
8. Nichols Charts
9. The State Space method
10. State equations
11. Signal Flow graphs
12. Compensation techniques
13. Controller Design
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#transferfunction #springmasssystem #controlsystemslectures

[@anjaligarg8940]

I never comment, but you literally taught me this in 10 minutes after I had spent countless hours trying to figure it out. Thank you SO much!

[@fareedsyed1869]

Sir, you explained it 10 times better than my professor. Thank you!!

[@digitidea]

Glad to hear that

[@sonictailsandsally]

Just what I needed! Straight to the point!

[@digitidea]

I am glad it helped

[@mergluca]

Excellent video, clear and exhaustive explanations, I have just discovered the channel, it is really great, I just wonder are there any arguments that you are not dealing with?

[@digitidea]

Thanks i appreciate that. No this is a complete video on its topic

[@scarlettmiskin9504]

This was so well explained!! THANK YOU!!

[@digitidea]

Glad you liked it!!

[@radityapermana4865]

Very clear explanation! Thanks Sir!

[@deshanbatagoda4629]

I really recommend this video. Simply a very nice and an efficient video.

[@digitidea]

Thanks

[@vitorsilva4106]

Really good video! Helped me a lot to understand such an important concept!

[@digitidea]

Thanks Vitor. have you subscribed to my channel, if not plz do so for future videos and that will help me grow my channel.

[@josphinegitia996]

Thank you sir,, Am almost doing my exams and it has been very helpful

[@digitidea]

Glad to hear that

[@chahmadabdullah]

Really loved the simple explanation.

[@digitidea]

thanks

[@febyanahmad6188]

Straight to the point! Thank you sir

[@digitidea]

thanks

[@chirinechidiac9408]

Thank you so much! This was so clear and helpful.

[@digitidea]

I am glad that it helped

[@digitidea]

Please consider subscribing to my channel.

[@tanvirkarim7188]

Very helpful video sir! I hope you will also make video on power simulink which is relevant to this control System basics in shaa Allah.

[@digitidea]

Thanks Tanvir Insha Allah

[@sandeepprasadyogi7498]

Perfection in explanation... hats off to sir...!!!

[@digitidea]

Thanks Sandeep

[@dr.engineering201]

Could you do example with initial conditions, a car is fixed by spring on left hand side and damper on right hand side with intial conditions.

[@digitidea]

Thanks Philip for transfer function, we "must" takr initial conditions zero but I have noted as a "video idea"...Thanks

[@Farseem_Riasat]

Sir, can you give more examples regarding transnational ?

[@digitidea]

do you mean translational? moving with same velocity as in mechanics?

[@Farseem_Riasat]

@@digitidea yes Sir, transnational related more complex examples

[@anikarichie]

thank you so much sir for such a helpful video!

[@digitidea]

You are welcome Anika...

[@MS-ld3jn]

Really simple and easy video, but I think it would be better if you wrote some things a little bigger. Other than that it was great! Thanks so much

[@digitidea]

Thanks MS

[@imamnegeri8825]

sir please explain balancing mass transfer fuction, btw your video very helped understand basic conceptual TF. thanks a lot sir.

[@digitidea]

Noted

[@satviksrivastava9504]

thank u sir . ur video helped a lot!!

[@digitidea]

Thanks Satvik, stay connected, Have you subscribed to my channel?

[@rohan_v5]

Thanks sir you are great

[@digitidea]

You are Welcome

[@Farseem_Riasat]

ma sha ALLAH , me from bangladesh

[@digitidea]

Masha Allah and Thanks

[@Farseem_Riasat]

@@digitidea Sir, can you give more examples regarding transnational ?

[@patrickknyg]

I liked the video ... but the course isn't complete as the introductory video shows ...

[@digitidea]

yes will make more videos when get time

[@chahmadabdullah]

Great Video :) Really informative and insightful :)

[@digitidea]

I am glad you liked

[@halidhassen2019]

jezakellahu kheyren

[@digitidea]

I am glad you liked thanks

[@danishkhan-pm8yg]

What if same damper is placed at 90 degree to the spring at y axis direction. Is that the first derivative will be zero?

[@immi.x]

How do I calculate the step input response 2nd order of this system

[@digitidea]

There is another video

[@IvanLuna]

Thanks!

[@digitidea]

Thanks Ivan have you subscribed for future videos?

[@khemjirah3854]

Thanks sir

[@digitidea]

Welcome!

[@SayatOskenov]

thank you BRO!

[@digitidea]

You're welcome!

[@mhppolash8117]

Excellent

[@digitidea]

thanks

[@anonymlife4361]

thanks

[@digitidea]

Welcome

[@knarfamoranemix6030]

I don't get it. As far as I understand, the equation of motion should be
K*x(t) + fv*dx/dt + f(t) = M*dx^2/dt^2
That would lead to a transfer function
TF = 1/ (-M*s^2 + fv*s + K)

[@digitidea]

Sorry I could not explain well!

[@knarfamoranemix6030]

In the mean time I understand through following the example with XCOS in the course about Scilab.
In my equation the constants K and fv are negative, while in the video they are assumed positive.

[@digitidea]

@@knarfamoranemix6030 I tried to explain why?

[@jesperwijma3601]

ma sha ALLAH

[@digitidea]

Thanks

[@ROSHANSHARMA-cs6cc]

Love u sir

[@digitidea]

Thanks Roshan

[@ROSHANSHARMA-cs6cc]

Maine ye lecture exam k morning me dekha tha , or exam me 5 marks ka aaya tha

[@digitidea]

@@ROSHANSHARMA-cs6cc I am glad it helped. Did you get full marks?

[@ROSHANSHARMA-cs6cc]

Sir semester exam hai , result 8 months k baad aata hai , but main confident hu poora marks milega us question me

[@digitidea]

Good Roshan..have you subscribed to my channel if not please do so.Thanks

[@JibinPRejiMAC]

nice

[@digitidea]

thanks

[@karimfaizy766]

May Allah bless u bro

[@digitidea]

Thanks bro same to you...

[@manusharma4755]

How we will calculate the value of S?

[@digitidea]

good question but cannot be explained in comment

[@pratikkadam2213]

How to find transfer function if damper is not present in system?

[@digitidea]

Cannot answer in comments

[@australia2142]

Wow.

[@digitidea]

Thanks

[@ajx9747]

Mst hai