I don't understand how I understood this from the first try lol hahaha I guess you truly are a good teacher :p
@VahidHamdipoorАй бұрын
Thank you for sharing and great explanation. I have a question regarding plugging the deviation control inside the deviation dynamics. It seems that you assume the same deviation (x_tilde) in both side and then solve it to find x_tilde at (39:34). Is this OK to neglect different times x_tilde(k+1) and x_tilde(k)?
@joshuapilipovsky471024 күн бұрын
It is not that I assume the same deviation on both sides of that equation, that is just the equation itself. Note that x_tilde is the *augmented* deviation vector, which has all of the state deviations along the horizon, i.e., x_tilde = [x_tilde^0, x_tilde^1, ..., x_tilde^N].
@charlesfield92863 ай бұрын
Big help. Thanks
@alexdarne6 ай бұрын
Amazing explanation !
@pardhasaichadalavada55886 ай бұрын
Hey Josh, thank you for the great video. I have a question. Are the dynamics respected by the augmented state and the terminal constraints? Can you clarify how dynamics are respected within the optimization problem?
@joshuapilipovsky471024 күн бұрын
Yes, the dynamics are represented by the augmented state equation, which are in turn used to represent the mean and covariance of the state along the horizon. These elements are then what are encoded in the terminal constraints.
@chamithmihiran319011 ай бұрын
Thank you
@Phoenixfyre728 Жыл бұрын
Absolute Lifesaver. I was missing a few concepts that my teacher didn't explain and you hit them all.
@insightful.engineer Жыл бұрын
Unit-load first mentioned at 09:28
@danielrich8440 Жыл бұрын
Wow, great! Please can you make a video, solving for reactions in indeterminate beam of degree 2, using the castigliano's theorem? Please.
@hakandede8588 Жыл бұрын
Best 'YEEEAAAAAHH' I have ever heard 11.51
@amanmenath8098 Жыл бұрын
i really needed this video
@srinivassidharthasarmareva8371 Жыл бұрын
Hey , one quick doubt. Is min PE = U+W or -W ? There are manu places that say its + W
@saulmartinezcastaneda8507 Жыл бұрын
Thank you very much Josh. I didn't catch what u & EI means. Would you tell me their meaning?.
@cahelk Жыл бұрын
Чел ты гений
@timecop1983Two Жыл бұрын
I am also 14 and can do calculus
@jinsunglee36812 жыл бұрын
great video. Thank you for your kind introduction to covariance steering. your papers are very interesting.
@xino9512 жыл бұрын
Dude I needed this SO BADLY 3 weeks back for my final exam, I really should have done a KZbin search!
@pranjalverma35012 жыл бұрын
that was really helpfull !
@emirbfitness2 жыл бұрын
sigma male
@asuthoshcr95812 жыл бұрын
Thanks, this video was so quick to understand RITZ...
@ananyatrivedi12892 жыл бұрын
Great explanation.Thanks!! Seems like we are missing EN(transpose) at the end of sigmaf constraint (56:40). Qn : Does the noise have to have unit covariance? Looks like we can encapsulate its covariance inside the 'S' matrix you define. Am I missing something there? Thanks again!
@Gu1TaMastaJ2 жыл бұрын
The noise doesn't have to be unit covariance. You can always do a change of variables (dw -> dz = Sigma^{1/2} * dw) to put it in standard normal form.
@jonathanfernandez46622 жыл бұрын
Can you please solve it complete What is your patreon?
@TheUtsavv2 жыл бұрын
We need more structural videos from you
@alet14902 жыл бұрын
Do you have a video on Castigliano’s theorem with curved beams?
@jonathanfernandez46622 жыл бұрын
+1
@nicolafoudre3 жыл бұрын
Thank you so much ! You really made me understand !
@darleenhallerbach66173 жыл бұрын
Hi :-) I am wondering if it shouldn't it be "greater than or equal to" in 24:05? Kind Regards
@Gu1TaMastaJ3 жыл бұрын
Yes inequality sign should be flipped. The probability that the state remain in the polytope should be GREATER than 1 - delta
@darleenhallerbach66173 жыл бұрын
@@Gu1TaMastaJ Thanks:) Nice video!
@shashvataghosh85493 жыл бұрын
Very lucid explanation!
@macamamamama3 жыл бұрын
Great explanation!! =D
@piyushkg13 жыл бұрын
Great content !! To the point Explanation. Thanks a ton. (Looking for more such lectures :))
@vishwanathsingh98433 жыл бұрын
the explanation is fantastic, but i didnt get why the method is called approximate.
@ayoubkaddar76223 жыл бұрын
thank you
@comradelum51083 жыл бұрын
Great video. I like how you broken done the process into easy and understandable steps. I would love to see more videos like this from you.
@myke01014 жыл бұрын
based on rayleigh ritz method, how to get the maximum and minimum bending moment and shear force? Pls advise and elaborate Josh. Thank you
@vikramsaini50614 жыл бұрын
Good work man
@talhaz54034 жыл бұрын
11:06 you drew the moment for the cut in wrong direction. It should be in clock wise direction by general convention. Great video nonetheless. I been studying castiglianos theorem through your videos. Your explanation is pretty simple. Good stuff!
@apoorvsom.56564 жыл бұрын
Wow! Very well explained! Josh! 🙏
@shanewilson11604 жыл бұрын
Can you go through the derivation or provide a link for the derivation of how you get to the Euler Lagrange equation?
@Gu1TaMastaJ4 жыл бұрын
Sure!
@shanewilson11604 жыл бұрын
Josh Pilipovsky thanks bro
@nagarajugorrela6684 жыл бұрын
Very neat and nice explanation, Thanks for the session.
@letsdiscuss32394 жыл бұрын
best way of explaination
@anybodycandofea59534 жыл бұрын
kzbin.info/www/bejne/mmnWe6eVgLKdhLM
@vikashpratap98604 жыл бұрын
Before watching this video ....I went through several videos on this topic and I couldn't understand anything ...now I can say ...I grasped this method
@JohnDoe-qg1pj4 жыл бұрын
Could you explain why isn't the potential energy equal to zero, like some energy conservation? The energy done by external forces should be equal to energy "received" by the system, no?
@JIAW214 жыл бұрын
I love you
@engetekengenheirosassociad22394 жыл бұрын
Prof. I have lots doubts about where the moment of inertia is not constant in same case (cantilever beam) and method (Rayleigh-Ritz) could you help me. Tks from brazilian students ! keep it up !
@anaslahrichi4 жыл бұрын
Very helpful, thanks a lot.
@brentrill4 жыл бұрын
This is one-dimensional.
@MJs-854 жыл бұрын
Hi ! good example Some people use the term P(xi)u(xi) in the total potential energy formula .. why is that and what is it ? thanks
@rachelsample94795 жыл бұрын
wooowww first 3 minutes i already understand so much more than i did in my lecture !!! thank you sir