I am a practicing civil engineer and have not been taught dynamic engineering during my college. Since 2017, I have been watching your 38 tutorial videos numerous times and I am glad to say I have a pretty good idea how dynamic structure is analysed, especially the effect earthquake. Thank you professor for your selfless contribution to the wealth of information.
He defined S as being iw just by reordering the eqn ms^2 +k = 0. If you solve for s^2 you will have -k/m and since you must solve for S then you gotta take the square root of that quantity and it's a negative quantity so it has to be imaginary and then remember that sqr(k/m) is known as the natural or cicular frecuency, therefore the same thing but negative will just be the negtive of the natural frecuency w(omega) in other words -w. Then just remeber he's talking about an oscillatory function which must have a postive and negtive component where A1 must be the amplitud of the positve component and A2 the amplitud of negative component and since it's free vibration those Amplitudes remain constant over time and the exponential terms just difined the shape of the function for both the postive and the negative part, that's why you have a negative component (e^-iwt). I hope that helps.
I am a practicing civil engineer and have not been taught dynamic engineering during my college. Since 2017, I have been watching your 38 tutorial videos numerous times and I am glad to say I have a pretty good idea how dynamic structure is analysed, especially the effect earthquake. Thank you professor for your selfless contribution to the wealth of information.
Structural Dynamics "Made Easy" ! Thankyou sir for the nice explaination!
Thank you so much for your generosity in sharing the knowledge
Thank you very much sir
I became your fan of your teaching from now
That was a very helpful lecture. Thank you for the explanation Sir.
Thank you for videos, professor.
Excellent lectures! Thank you so much...
Hi! Ruchi are u a civil engineer?
HOLD IT RAHMANJI.....
Ishan WADHWA
Hi rucho
Hii ruchi
nice lecture from Ethiopia.
really this lectures are very useful for me.....so thankyu for posting.....
Thanks from china, Dear Prof'!!!
thanks a lot for sharing the knowledge
Thank for showing the world,
Thank you, professor.
very good video ! congratulations !
Thank you very much Sir. Pronam Neben 🙏🙏🙏
very good, it's very useful to me, thank you very much!
Thank you very much professor.
Very helpful 👍
Thank you so much prof.
Sir please tell me if i have to do the dynamic analysis of the truss and what is the procedure,
very nice excellent subject simplified.......
Hearty thanks to you...
superbb sir👍🎉🎉🎉
why u=e^st?
u assume a function in order to solve the differential equation, so he assumed an exponential function.
Good lecture.... thanks
how can i contact Professor Dr. P. Banerji to ask about some confusing aspects. can i get any email address?
excellent courses
where can we find the pdf ?
Didn't under what happened at 41:33
He defined S as being iw just by reordering the eqn ms^2 +k = 0. If you solve for s^2 you will have -k/m and since you must solve for S then you gotta take the square root of that quantity and it's a negative quantity so it has to be imaginary and then remember that sqr(k/m) is known as the natural or cicular frecuency, therefore the same thing but negative will just be the negtive of the natural frecuency w(omega) in other words -w. Then just remeber he's talking about an oscillatory function which must have a postive and negtive component where A1 must be the amplitud of the positve component and A2 the amplitud of negative component and since it's free vibration those Amplitudes remain constant over time and the exponential terms just difined the shape of the function for both the postive and the negative part, that's why you have a negative component (e^-iwt). I hope that helps.
@@ing.erickosorio2887 from where does the theta came?? Can you tell?
what is refernce of book ?
Is this a class for undergraduate or masters?
Masters
tu es des livres en français?
il fault traduire la lecture. ca c'est pas en france.
thanks a lot Sir.
you are awsome
Thank you sir
thnx alot ...:)
More on structural dynamics
th-cam.com/video/oRoyljxqoz8/w-d-xo.html
Thank you very much sir.