20-MDOF system- Normalization of mode shapes.

Contents:
04:21 Normalization using first amplitude
05:36 Normalization using maximum amplitude
07:44 Normalization using a normalization factor
13:55 Normalized modal matrix
15:10 Orthogonality condition using normalized modal matrix
22:18 Summary of Orthogonality condition using normalized modal matrix
26:33 Example

[@salahsalahhamadi5626]

Thank you very much Dr.Mohamed for the informative video

[@user-ml3cu8gs8n]

Thank you so much, Dr. Mohamed! It is my pleasure to watch your lectures. Looking forward to the continuation :)

[@anthonybotting9799]

Thank you Dr. I have been seeking the methodology for creating the Mass-Normalized Eigenvectors! Very, very helpful.

[@kemuelrapisora2920]

Thank you for the lectures, Dr. Mohamed. In the Philippines, I'm a university student. Your directions and videos are really easy to understand. I somehow check your videos, virtually all of them in the Dynamics of Structures playlist, before going to class, so that while I'm in class, I at least have a broad concept of the material. Thank you!

[@hsaghbari]

Thanks very clear doctor

[@user-fm7ru3kr5j]

Thank you very much

[@AJ-et3vf]

Great video sir! Thank you! I would like to ask what would be the interpretation of the mode shape if it is a complex mode shape, like in when it is not proportionally damped?

[@victorgranlund2333]

What do we do if the eigenvector of the mode contains negative values and we want to mass normalize the mode? Do we take the absolute of the eigenvector or not?

[@evansherlock6330]

How do you add normalized vectors?

[@Engr-Hassanshehwarshah]

Dear Sir
Could you tell me this topic "Linear Oscillators with Multiple Degrees of Freedom Free Undamped Vibrations" is same you gave on lecture sir i'm confusing on "linear oscillators" if you will give me reply i'm very grateful

[@ahmedreshi5697]

1/0/6 is not 1.62 its 1.67. Little correction 30:22