Why are the stiffness matrices K symmetric exactly..? Did I miss the part where he explains or is it because it comes from physics and hard to explain in a short video?
It wasn't really clearly explained how there is 6 solutions. Shouldn't there be 3 for the 3-mass problem? Since there are 3 eigenvectors. I know he should be right. But what is the logic?
because 3 eigenvectors correspond to 3 omega, whether you use cos/sin or exponential, there's always amplitude and phase angle to be determined (that's why two initial conditions needed), which means two coefficients for each
OMG! this is again a SUPER example of system dynamics modelling by differential EQNS… but it’s scary too!😊if you put it how some human races are organised exactly into fragmental pieces of their doomsday !!👀
Oh, Gilbert Strang is such a smart guy. No, This video is totally unclear. Where the K/S matrix come from? How do I get those numbers inside the matrix?
This is another fantastic lecture on second order systems.
how he get the matrix K from the mass spring system? A1, A2 are scalars or vectors, or matrices?
Why are the stiffness matrices K symmetric exactly..? Did I miss the part where he explains or is it because it comes from physics and hard to explain in a short video?
It comes from Physics actually. For more details on how those matrices are constructed, you should view MIT OCW series on Mechanical Vibrations
What happens when it's a damped system?
Had the pleasure of sitting in his lecture ... smart as hell and super funny. Rip gil!
It's 2019 now and he's still alive! He's 84.
It wasn't really clearly explained how there is 6 solutions.
Shouldn't there be 3 for the 3-mass problem? Since there are 3 eigenvectors.
I know he should be right. But what is the logic?
because 3 eigenvectors correspond to 3 omega, whether you use cos/sin or exponential, there's always amplitude and phase angle to be determined (that's why two initial conditions needed), which means two coefficients for each
Why did Strang not include the b(sin(ω)) components in the answer for the example?
Because Bs are zeros. Check 13:45
OMG! this is again a SUPER example of system dynamics modelling by differential EQNS… but it’s scary too!😊if you put it how some human races are organised exactly into fragmental pieces of their doomsday !!👀
Oh, Gilbert Strang is such a smart guy. No, This video is totally unclear. Where the K/S matrix come from? How do I get those numbers inside the matrix?