Modern Robotics, Chapter 8.1: Lagrangian Formulation of Dynamics (Part 1 of 2)

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  • Опубликовано: 10 сен 2024
  • This is a video supplement to the book "Modern Robotics: Mechanics, Planning, and Control," by Kevin Lynch and Frank Park, Cambridge University Press 2017. See modernrobotics.org for information on the book, free software, and other materials.
    This video introduces the Lagrangian approach to finding the dynamic equations of motion of robot and describes the structure of the dynamic equations, including the mass matrix, velocity-product terms (Coriolis and centripetal terms), and potential terms (e.g., gravity).
    This video is a brief summary of material from the book, and it is not meant to stand alone. For more details, such as an explanation of the notation, please consult the book and the other videos.
    Playlist for Chapter 8: • Modern Robotics, Chapt...
    Playlist for all book videos: www.youtube.co....
    RUclips channel with all playlists: / kevinl2145
    Wiki for the book, including software and other supplements: modernrobotics.org
    Modern Robotics is now a series of online courses on Coursera! www.coursera.o...

Комментарии • 38

  • @SpaceStickwithSpaceTick
    @SpaceStickwithSpaceTick Год назад +4

    These videos have given me a lot more respect for mechanical engineers as an electrical engineering student. This math is pretty tough!

  • @17Koche
    @17Koche 4 года назад +6

    excellent video. I checked the math and it makes a lot more sense to me than some of the other papers I have read.

    • @user-wo6sr2xr3p
      @user-wo6sr2xr3p 2 года назад +1

      Maybe you read the derivation of the langrange equations, i mean, understanding why this formulas must be true. That part is not really intuitive i think.

  • @niallwalsh8754
    @niallwalsh8754 Год назад +2

    Excellent explanation, thank you!

  • @mattbiss6414
    @mattbiss6414 4 года назад +8

    An amazing explanation, thank you!!!

  • @HombreFromNorthAfrica
    @HombreFromNorthAfrica Год назад +1

    Thank you so much for your Effort!! YOUR VIDEOS helped me a lot

  • @hariharanramamurthy9946
    @hariharanramamurthy9946 4 года назад +3

    how did you get L comp sir (referred book still not clear)

  • @mahmoudabdallah910
    @mahmoudabdallah910 5 лет назад +3

    if we have a 3d articulated robot, v=(xdot+ydot+zdot)???

  • @sudhanshuvaishampayan8971
    @sudhanshuvaishampayan8971 6 месяцев назад

    In the torque equation at 5:05 it should be c(theta)*theta dot instead of c(theta, theta dot) right?

  • @himanshushekhar4590
    @himanshushekhar4590 6 лет назад +15

    can you please explain ? why didnt you consider kinetic energy of mass due to rotation ? thank you

    • @mohamedbadra295
      @mohamedbadra295 6 лет назад +1

      +1

    • @surajsapkal1293
      @surajsapkal1293 5 лет назад +1

      +1

    • @cemalpturk9097
      @cemalpturk9097 5 лет назад +10

      I'm not entirely sure but the reason may be that since all the mass is concentrated on a single point for each link, the inertia tensor will have a 0 value thus cancelling out the rotational part. Correct me if I'm wrong.

  • @kamleshshan4158
    @kamleshshan4158 2 года назад +1

    What are the advantages of DH convention over analytical method of frame transformation matrix and transformation? Sir , please solve this question?

  • @barssoyer5404
    @barssoyer5404 4 года назад +7

    mass center points m1 & m2 are wrongly picked. they supposed to be in the very middle of the each link if material of the link is homogenous, if not, it is still impossible to pick those points w.r.t. laws of physics.

    • @jadoei13
      @jadoei13 4 года назад +3

      Or you just assume the links to massless with a mass on the very end of it, similar to a frictionless pendulum with a massless rod

    • @hazemahmed8333
      @hazemahmed8333 3 года назад

      Yes Thank you, I was confused too

    • @badnoodlez
      @badnoodlez Год назад

      Love when novices chime in

  • @eliecerecology
    @eliecerecology 6 лет назад +4

    this super clear, thanks

  • @hoangleminhhoang101
    @hoangleminhhoang101 Год назад

    Where do you get the Lcomp from? please be more specific

  • @danielmaier6665
    @danielmaier6665 Год назад +1

    At the slide showing the taus there is a mistake
    The 2nd row of tau2 should be
    -m2*L1*L2*sin(theta2)*theta2_dot*theta1_dot

  • @rituranjan2821
    @rituranjan2821 2 года назад +1

    Sir,kindly upload the Lagrangian formulation of two leg robot

  • @RoboTechJet
    @RoboTechJet 3 года назад

    Sir can you drive the same for three link

  • @MAJIDKHAN-pn5ew
    @MAJIDKHAN-pn5ew 2 года назад

    Thank you sir

  • @쌀떡국
    @쌀떡국 Год назад +5

    로봇제어 과목 수강생은 이 영상을 보러 올것이다

    • @user-bu3ys9xn2w
      @user-bu3ys9xn2w 10 месяцев назад +3

      어이 ㄱㅇㅎ이~~
      ㄹㅂㅎㅂ 정모ㅋㅋ

    • @kwon_line
      @kwon_line 10 месяцев назад +2

      개추

    • @Happyman30
      @Happyman30 10 месяцев назад +2

      오늘따라 떡국이 먹고싶군요...
      왔다 갑니다.

    • @kwon_line
      @kwon_line 10 месяцев назад

      @@Happyman30 떡국 좋지요 ㅎㅎ 사천식 떡국 기대하겠습니다

    • @Happyman30
      @Happyman30 10 месяцев назад

      @@kwon_line 다시다 넣습니다.

  • @vishwanathbijalwan5172
    @vishwanathbijalwan5172 Год назад

    Best

  • @yinebebtariku1617
    @yinebebtariku1617 2 года назад

    👍

  • @ahmedkdk
    @ahmedkdk 6 лет назад +2

    I swear this thing is giving me the creeps

    • @ay-automation
      @ay-automation 4 года назад

      ruclips.net/video/c2qHQqM1tfU/видео.html

    • @phdben2523
      @phdben2523 3 года назад

      hey dont disrespect the supreme leader called Mr Le Grange from dmc ait class, come on!! he has a PTSD in random technology crap and he has a million dollars in debt i mean assets! 💩

  • @ratshitpartners5757
    @ratshitpartners5757 6 лет назад +1

    oh poo.... aerodynamics simulation....