Quadcopter flight equations

Discussion in 'Misc. Quadcopter & Multirotor discussions' started by youness fouqani, Sep 9, 2014.

  1. youness fouqani

    youness fouqani New Member

    Hi there !

    I am trying to build my own quadcopter from A to Z. I mean I will build everything myself except for the engines.[​IMG]

    So far, by using newton laws, I got these equations :
    (notice : I am totally neglecting air drag but not sure if that right at quad speed range).
    By plugging these equations into an arduino, we could control each engine force (Fe) , then converting that force into required RPM [​IMG]??

    1. reach a vertical speed :
    Fe = m/4((v-v0)/t) + g)
    m: quad mass
    v : actual speed
    v0 : velocity to reach
    t : time to reach v0

    2. Hover
    Fe = 1/4 * (m . g)
    g : gravity

    3. Displacement
    Fe = 0.25 * (m/sin(O)) *((v-v0)/t + g)

    where O = tan-1(( ((v-v0)/t) + g) / ((v-vs)/t2 + g) )

    v : actual speed
    v0 : vertical velocity to reach
    vs : speed to reach
    t : time to reach v0
    t2 : time to reach vs
    O : angle of tilt


    I have the following questions [​IMG] :
    Is these equations right ?
    Could I control engines without ESC ?
    Should I neglect air drag ?
    How to convert Fe to RPM based on engine and props specs ?

    thanks for reading and replying.
     
  2. webman

    webman Administrator Staff Member

    Welcome - but you are definitely in the wrong forum (site).

    This is a site for beginning and intermediate pilots - and mostly for RFT (ready to fly) quadcopters. You will likely do much better at dyidrones.com where you can talk with fellow engineers, etc.
     
  3. IceFyre13th

    IceFyre13th Guest

    Is these equations right ? I hate math, but the easier answer to your base question is below........its the Ecal website link. If you know the motor / Prop performance, total UAS weight....you can change the formulas to arrive at the answer easier. And as Webman said..... www.dyidrones.com will fill in the blanks.

    Could I control engines without ESC ? No, ESC is needed to run the brushless motor, but you could make your own that the Arduino could run.


    Should I neglect air drag ? On a multi-rotor, no use worrying about it, they are flying bricks no matter what.


    How to convert Fe to RPM based on engine and props specs ? Web site for you............. http://www.ecalc.ch/ Use the multi rotor calculator and it will tell you if the motor / prop you chose will work, and what size (power rating) ESC you need to buy or build for.
     
  4. youness fouqani

    youness fouqani New Member

    Thank you IceFyre13th. I would try those websites and search how to use arduino as an ESC.
     

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