i have learned more about Systems Dynamics, and differential equations in watching a few of you videos than i have learned from professors over the last 1.5 years
What a wonderful way of explaining. This prof takes into account the impact of the topic on the student and takes his time slowly transmit knowledge. If he does explain this way in the classroom, then his students are fortunate to have him as professor.
This is a great video! Unfortunately my dynamic modeling professor doesn't explain things too well and speaks with a thick accent. I see you put a lot of work into this video, I hope more people will watch it and will learn something like I did! Thanks Rick!
Amazing Rick, the way you simplify the complicated mechanical system .. I would request could you please explain similar fashion how to design the structures.
Thank you so much I love how you make things simple and easy I love your explanation and the useful useful information that you tells us professor you encourage me to learn and watch all your videos a single videos is like a whole course but in one hour I really loved you professor real professor
Rick, thank you for making this extremely clear. However, I am confused at 19:30 when you begin to draw the FBD for m1 you specify two methods for determining the direction of the forces acting of said mass. In the first method, where you fix m2 and move m1 in the positive x-direction, the spring and damper elements (k2 and b) would be compressed upwards so the direction of the generated force should be downwards to oppose or restore. This would mean that method #1 and method #2 (where you flip the direction of the force in m2's FBD) would have forces acting in different directions. Can you clarify why choosing one method over the other would result to different orientations of the forces in FBD and how this would affect the solution? Thank you!
Whether you stretch or compress a spring, the restoring force on the two ends will be opposite as long as you are consistent in the direction and sign of your displacements. If for example, you stretch the spring between m1 and m2 such that y is larger than x, then the two ends of the spring will pull the masses back toward the spring resuming its free-length. If you compress the spring, such that x is larger than y, then the expression for Fs2 = k2(y-x) will be negative and the forces will be opposite the directions drawn. If you express the force as Fs2 = k2(x-y), then the force is positive when x is larger than y and the directions of the force in the free-body diagram should be opposite the way they are drawn in the example. I hope that helps.
You can use the same analogy, but when the forces on the upper side of m1 are acting downward, you are assuming that x > y (and xdot > ydot). Therefore, the expression for the spring force would be Fs2 = k2(x-y) so that the expression is positive when the force is in the direction drawn. When the expression is negative, the force is opposite the direction drawn. The same logic holds for the damper force.
Thank you. I have begun trying to upload some cleaner versions of some of my lectures broken down into smaller chunks. You can see one example here: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-o853pc_LuHM.html
very good your video and its explanation, although it is in English and I do not understand rsrsrs I am student of engineering of automation and I am having a lot of difficulties in modeling of dynamic systems quarter car system, you could make an example of this with values of the masses and constants of k, and c. Thank you very much in advance
hlo sir, nice explanation. Sir can you plz make a video on how to make FBD of 2-dof quarter car model and how to write governing equations with piezoelectric material in series with suspension spring and also consider the damping of a tire. Plz reply
Very nice and clear explanation. please let me know if we want to put a controller, It should be one controller between body of car and Tire, I want to know do we will have just one u(t) in our equation (in our state space vector) as output?
If you added an actuator, for example something that generates a force between the car and tire, then your system would really have two inputs. One input from the actuator and another input from the road. The number of outputs would depend on what you were interested in.
I have some other videos that follow the Conceptual Dynamics textbook, but this series follows System Dynamics by Ogata, though you could really refer to any introductory Controls textbook.
Thank you for this video, it's very helpful. I have a question though, how do you find the state space representation for a circuit with, say on displacement X there's a mass and maybe 2 springs(one in displacement X and the other between X and Y) and at displacement Y there's a damper (and the spring between both displacements) but with no mass? I don't know if I make sense, but what I'm trying to ask is how do we find a statespace representation for a circuit with 2 displacements but only one of them has mass
There's a constant low frequency humming in your videos that is really uncomfortable on the ears. Had to adjust my equalizer to remove all lower frequencies to be able to listen to this video.
excellent sir how to apply this control theory on practice basis.. I mean, how can I control any physical system by any microcontroller or microprocessor
I have created some web-based instruction on using the Arduino Microcontroller (through Simulink) for controlling some simple systems such as a DC motor, a DC-DC converter, and a lightbulb. The pages can be found under the "Hardware" tab at the top of the page whose address is given below: ctms.engin.umich.edu
+Rick Hill the rotational example you go through, could that be termed as a feedback control system (ie a closed loop system) ?? Also, love the videos they are such a huge help!
No, that is not an example of a feedback control system. The input is a torque applied to the shaft and the output is the angular twist of the shaft, but how the torque is determined (and generated) is not included in the model.
Modules 14, 18, 22, and 23 do controller design (algebraic, root locus, freq response), but they are more focused on the process, rather than on practical real-world applications.
@aboyousef2010 You can access the PowerPoint slides that accompany the videos from the following link: www.dropbox.com/s/u7k7cf24md4zx1r/Slides.zip?dl=0
+Ruddog12 I use a variety of sources, but a book that follows most of the material I present pretty closely is System Dynamics by Ogata. Thank you for your interest.
