Shock Absorber Problem
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- Опубликовано: 25 авг 2024
- Solution to the damped free-vibration problem of a cart with an initial velocity being arrested by hitting a spring-damper system.
The code from this video can be downloaded from :
github.com/apf...
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Love your videos mann... Very nice way of teaching. ❤️
Really enjoy your videos ☺
Very educational great video
love your videos!
The Tmax should be computed when the displacement is maximum, meaning when the derivative is zero. Is that the same when time is pi/2?
Yes.
you are right...only when the damping ratio is much less than 1 the maximum displacement is approximately at the time equal to pi/(2*omega_d) (for this initial condition), but not exactly at that time, and for damping ratio, e.g., 0.5 or higher (but less than 1), this approximation is not good...
hello, about the time values, it's omega_d*t_max for this system, was that going to be omega_n*t_max if there were no damper in the system?
Yes.
@@Freeball99 Thank you. This was a simple question for this video but learning doesnt occur in a linear way so, :) Thank you again
Can you please make a video for a system of a hamonic oscillator which includes angular oscillations as well as linear oscillations? :3
Not quite sure I understand your request...what is meant by by "includes angular as well as linear oscillations"? Are you referring to something like these problems?: ruclips.net/video/Wbj0Sat8pbY/видео.html ruclips.net/video/eZYQm-xPKSY/видео.html ruclips.net/video/PPN6SJhWAOU/видео.html or is it something different?
Oh I'm sorry) I meant ,let's say , if we have a beam and it rests with its edges upon two supports with its dampers and springs, and we apply some force for a period of time somewhere on top of the beam (or bottom) so the vector of the force is not crossing the center of gravity of the beam and it causes some inclination(angle theta for exmpl) of the beam as well as vibration. And the question is: how do I describe vibrations of such system with just its theta and x oscillations? I know that i could apply rotational version of Newton's second law for this angular oscillation, but not sure that it's correct to do such things and the center of rotation will vibrate too in that case, so it gives even more struggling)
Sure. Probably a good example of this would be a car or a motorcycle. It bounces on its shock absorbers which causes its C.G. to move up and down (translation). At the same time, it bounces differently on each shock absorber which causes rotation about its C.G. I'd be happy to work such a problem. Give me a week or two.
Oh, great! I'll be waiting)
Hi I really like your video. Can you explain how quickly execute the code? Every time I have to find the location of the directory file and run the code. And it doesn't show the plot. Any advice? Thank you!
I use Sublime Text as my text editor and that has a shortcut CMD+B (Build & Run) - probably CTRL+B on Windows. This is a very quick and useful way to execute the code. Depending on how your version is Python setup, it might require you to add the path to Python in your preferences - but you only need to do this once. My preference is to use the command line.
The plot should show in a different window. Sometimes this is hidden behind your current window - you might need to move it in order to see it.
@@Freeball99 Well, I tried it and the plot is shown very quickly. And I used some time to fix the Module numpy and matplotlib problem. Your video and answer are very enlightening~ Hope to see more.
at 4:06 how is x(0)=0 ,but v(0) has a value????
Immediately after impact between the cart and the shock absorber, there is no displacement (yet) of the shock absorber, so X(0) = 0. However, as a result of the collision, the cart imparts an initial velocity, V0, to the shock absorber. So, initially this looks like a mass-spring system will no displacement and an initial velocity.