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Everything posted by DrD

  1. Two Short Math Problems

    I really don't think I can help you. I don't know much about robots. DrD
  2. Two Short Math Problems

    Mechanics Corner A Journal of Applied Mechanics and Mathematics by DrD, #40 July, 2017 Two Short Math Problems Do you ever read the ads that appear on ME Forum? I try to avoid them as much as possible, but an organization called BRILLIANT has put up some interesting math problems of late that have caught my eye. Two of them are the subject of today's post. The first problem that I want to discuss is actually more recent than the other, but it gives us a good place to start. Following that, we'll go on to the second problem. Along the way, I want to talk about philosophy as well as simply how to solve tow specific problems. The main lessons to be learned here are in regard to how we use mathematics in the practice of Mechanical Engineering. 40 Two Short Math Problems.pdf
  3. Why in the world do you want to put a flywheel on a DC motor? The purposes of a flywheel are (1) to smooth out irregularities in the rotational motion of the shaft (torsional vibration), and (2) to store energy in order to continue operation though a power interruption. You did not mention either of these, so I ask again, "why do you want to put a flywheel on a DC motor?"
  4. "It gives balance to engine and load is uniformly distributed in crankshaft." This statement is totally incorrect. Torque is delivered to the crankshaft as a series of pulses, in no way uniform. In a multicylinder engine, torque will be positive at one location while it may be negative at another. What is a "four stage engine"? Do you mean four cylinder, or perhaps four stroke, or something else? All the pretty animations in the world are not worth much if the accompanying statements are nonsense. DrD
  5. As an older engineer, I am rather dismayed by what I see as the results of engineering education today. I have seen most young engineers come out of their college degree programs with a modest familiarity with come CAD program and a related Finite Element program, and an almost complete lack of capability to analyze machine components without the use of FEA. Thus they are unfamilliar with basic design calculations relating shear stress in a shaft to the power being transmitted, the shaft sped and the shaft diameter. Instead, they want to create an FEA model and run the numbers that way which is simply not the way you make any progress in designing a machine. It is certainly true that FEA allows for a good detailed stress analysis of complex geometries, something that was not possible in general by the older methods. But the results obtained are highly dependent on the skill of the user in applying the correct boundary conditions, something that is a bit of an art in itself. I have observed a tendency to even want to use FEA to do kinematics, rather than using simple, rigid body kinematic relations. This seems like pure foolishness in almost all cases. Are we not developing a tendency to lean too heavily on the computer, rather than to learn to think as engineers? I would be happy to hear some comments and discussion from others on these matters.
  6. The PDF file below will show you how to solve this problem. DrDPlanetaryProb.pdf
  7. As a starting point, you must know the MMOI for each individual component; without that, you cannot begin. Assuming that the individual component MMOI values are known, do a kinematic analysis of the planetary train to determine the velocity of the CM of each component. The use that information to formulate the kinetic energy of the entire system, all moving according to the kinematic relations. You will have to choose some rotation as a reference value, usually either the input or output rotation. The kinetic energy will have the form T = (1/2) theta-dot^2 (term1+term2+...+termlast) where theta is the reference rotation. The sum of terms indicated is the effective MMOI for the gear train. DrD
  8. Two stroke &four stroke

    So, what else is new? DrD

    Wow!! That was super exciting!! DrD
  10. The material you posted (from a book?) is only partially visible, and cannot be completely read. The various symbols are not defined, such as Ftc, Rc,T, Wc, and alpha_c. There is no way anyone can help you with so little information. Rather than ask for help, I suggest you draw the picture and work it out for yourself. You will learn much more that way. DrD
  11. The one thing that is very clear from your two URLs is that there is no uniform, well defined definition of "rifle barrel harmonics." There seems to be a mix of ideas about compression waves traveling down the length of the barrel and reflecting back combined with a dilatational wave propagating out from the charge ignition. The word "harmonics" seems to be more of a buzz term, to dignify the confusion. Altogether, this is simply an elastic wave propagation problem, albeit a complicated on due to the geometry involved.There are lost of people around the world who have studied wave propagation problems, and I'm sure that with the necessary experimental facilities, all of this could be studied experimentally. It may already be under investigation, either by the US Army (such as Picatinny Arsenal), or one of the rifle manufacturers (Remington, Winchester, etc). You will find the necessary mathematics quite sophisticated and well beyond the typical college graduate (lots of partial differential equations). Have fun with your inquiry. DrD
  12. The term "rifle barrel harmonics" is not one that I recognize, and could be used to describe several possible phenomena. In order to help you, I have to ask you to describe just what sort of motions you are concerned with, what phenomena it is you wish to describe. Please write out (in words) what you think happens that interest you, and then we may be able to offer some help with the mathematical description. DrD
  13. The term "Pan and Tilt Control System" does not have a universal definition, so no one can be sure what you are talking about. If you want help, give a detailed description of what you need to build, including one or more sketches of the proposed system. Only than can anyone give you a meaningful answer. DrD
  14. Without more details, it is difficult to say very much. One thought that comes to mind is that you have probably neglected friction which can be very significant in a system such as this. If you want more help, please post a sketch of your system with dimensional details. DrD
  15. Gears

    Wow!! That was absolutely fascinating!! A blank page! Who can possibly top that? DrD
  16. How To Become An Expert

    I'm glad you thought so. DrD
  17. How To Become An Expert

    Mechanics Corner A Journal of Applied Mechanics and Mathematics by DrD © Machinery Dynamics Research, 2016 How To Become An Expert Introduction This is going to be another of those personal experience/opinion pieces, so if these bore you, be warned! This may be the time to click on something else. A reader recently wrote to me asking how to become an expert. I have to tell you, I don't spend much time thinking about being an expert, but I suppose on some reflection, the shoe probably fits. (Most of the time, I see myself as simply a tired old man, still enjoying the things I have done almost all my working life.) In the discussion below, I will describe a few events and observations that seem to relate to the question at hand. Find Your Place Nobody can hope to be an expert on everything, there is simply too much to know. You have to find the area that excites you, the area that really makes you want to dig in more. If you do not really enjoy it, you will never be an expert! I was very fortunate in this regard. When I was in High School, I was rather good in Mathematics, and my school advisers all told me, "You should become an engineer." Sadly, I really had no idea what that meant, and neither did they. The town where I grew up had rather little industry, and no one in my family knew an engineer of any sort. I did a little bit of research on engineering (this was thousands of years before the Internet), and it sounded interesting in a very vague way; there seemed to be little specific information available to me. But I went off to college, intending to study mechanical engineering, whatever that was. In my first semester of college, I took a Physics course in classical mechanics, and I really enjoyed it. This was exactly what I wanted to do, I just did not know the right name for it. I thought Newton's Second Law was the greatest thing ever discovered, and when implemented with Calculus, it was really fun. I was astounded at the power of it all, the questions that could be answered. If I could just get a job doing mechanics problems, I was sure I would be happy. HowToBecomeAnExpert.pdf
  18. https://mail-attachment.googleusercontent.com/attachment/u/0/?ui=2&ik=4d910f0c03&view=att&th=15cef623deff2d23&attid=0.1&disp=safe&zw&sadnir=1&saddbat=ANGjdJ-YCVyI1Fbt0ODz0haTG6Mpr8ytr-JvMfpB0BRymjaxekgNJ-SwY-YJE9fyvrmGcrT2Oj29vWY2PbfZmxQ9tYSDhLX93PsKcH_O2S-vVrH4ohadiRm6jRguBmswvRVB8xByQIIffbA-vOXof23AEJg1thC1UlGMi79Kp97PRQwXYK58NVaCpQIZeq2Gnz8lrwTgeElFHn-n0mwr3sLm0hl--COq8nnzEOmKJgJusyJ60IgwJ5wiGnDtU727bliecYGRFnrbchIXgsEpoZWSvCHSoU8Ra_fWHcnTsuvw-CPeRtyveUcWHpUfC7CIZUl_NZ59xPl4F3AQyFnOHh4TiNHEaGblMsLLUGkzrW0rehiZ1JL8JB9JiHIC3aK_vvNjIKkQZlcBoDj4E49UORxp7QaGpQQZuH03HoPbLK7c4i_EHp8L0CSZRSY7B8BsZC6eMG_WzG3ZuINgz89Ec_KIfunx73I54i2L7MDhHM947L9WIRhKNthrplxKpKo8mmEKbxFOVlgVFhRsbQ0EQbfhoIOUD4N-jNsIl4tMlwJsJgUmCnk8BQdxU2droCghPnckT_Ga9oG6hkmbn68xgUc_VqouED64Nvo4u1jaE9zb3IMdH5qj5yUfXAIqEA4 Yes, that is all one big URL, but it links to a video of some really impressive automation. DrD
  19. Your drawing in and of itself will not cause or prevent vibration. Its all in the way the rotor is built. You have stated a desire, but you have not asked a question. Is there anything preventing you from accomplishing that which you desire? DrD
  20. I think a person would have to be NUTS to take this position. The money, $5300/mo. sounds like a lot, but look what you would have to give up and where you would have to live. NO THANK YOU!! The money comes out to $63600 per year (tax free they say), but that is far less than most MEs are making in the USA. DrD
  21. Wind Tirbune Vibration Problems

    The question is so broad as to be unanswerable. Yes, there can be vibration problems in wind turbines. But there are so many possibilities that it would require a whole library to address them all. Please be much, much more specific. DrD
  22. Really, Henry!! Brain cells boiling ... over a simply little mouse trap? You must have a very low boiling point! No, this is not the same mechanism as a trebuchet, although that too is an interesting problem. Cool down a bit and give this a try. It really is not so impossible. DrD
  23. Mechanics Corner A Journal of Applied Mechanics and Mathematics by DrD, # 44 Machinery Dynamics Research, 2017 Mouse Trap / Pendulum Dynamics Challenge - Part I Introduction Mice are a problem all over the world, and as a result, I'm sure that there are mouse traps of various sorts found everywhere. It would be utterly amazing if this were not true! In the USA, there is a very common type of mouse trap that I have seen used all my life, the sort of system shown below in Figure 1. I want to spend a few minutes discussing this mouse trap, to be certain that all readers understand how it works, before moving on to the main part of the post. MouseTrapPendulumDynamics-1.pdf
  24. Be sure to check out the new post at Mechanics Corner. It poses a challenge problem for each of you to work on. Do you really know kinematics of machines? Find out!! Try the simple problem posted over at Mechanics Corner now. DrD
  25. #43 Four-Bar / Toggle Linkage Mechanism

    Wow, Henry!! I freely admit to being older than dirt, but these books are old even for me! You are correct; they are very interesting. Sadly, many of the figures don't really tell enough to make clear how the things work. But some do, and that makes for fun browsing. Thanks, DrD