Challenge

Problem set 2 -week 3 challenge : Anti-Characteristics

The excel sheet is made to calculate all the required parameters based on the given data and verification is provided in pdf

Following formulas are used

STEP 1

  1. Throttle acceleration per g = (throttle acc.)/(lacc. due to gravity)
  2. Load transfer [(total weight)*(throttle accn)*(CG height)]/(wheelbase)*g]
  3. Front axle weight (after throttle) = (static front axle weight) - (load transfer)
  4. Rear axle weight (after throttle) = (static rear axle weight)+ (load tansfer)
  5. Front wheel rate = (front spring rate)*(front motion ratio)^2
  6. Rear wheel rate = (rear spring rate)*(rear motion ratio)^2

STEP 2

Without Compensation

  1. Front end deflection = (load transfer)*0.5/(front wheel rate)
  2. Rear end deflection = (load transfer)*O.5/(rear wheel rate)
  3. Pitch angle = tan inv [(front defelction) + (rear deflection /wheelbase)*(180/pi)
  4. Pitch gradient = (pitch angle)/(throttle acc.(g))

STEP 3

With Compensation

  1. Front anti-lift angle = tan inv(((FICV) - (tire radius))/(FICH))*(180/pi)
  2. Rear anti-squat angle =tan inv((RICV) - (tire radius)]/(RICH))*(180/pi)
  3. Front swing arm angle = tan inv[(CG heigh )/wheelbase]*(180/pi)
  4. Rear swirng arm angle = tan inv[(CG height)/wheelbase]*(180/pi)
  5. Front anti-lift % = (front anti-lift angle)"(drive ratio}/(front swing arm angle)
  6. Rear anti-squat % = (rear anti-squat angle)"[100 - (drive ratio)]/rear swing arm angle)

STEP 4

After compensation

  1. Front end deflection = [front end deflection (w/o comp)]*[100- (front anti-lift %)]/100
  2. Rear end deflection = [rear end deflection (w/o comp)N*[100- (front anti-squat 6)]/100
  3. Pitch angle = tan inv (front defelction with comp) + (rear deflection with comp)]/wheelbase}*(180/pi)
  4. Pitch gradient (pitch angle)/{throttle acc.(g))

STEP 5

Keeping the rear SWing arm height fixed at 16 inches from the contact patch The rear IC horizaontal distance is varied until the pitch angle is found to be zero or approximately zero. The pitch angle is found to be minimised near zero at RICH=10.82inch

  1. trail1 for diffrent RICH(from base 42 with decrement for 2) values the calculation are done till the 90-100 range is found
  2. trail2 from the above range the diffrent RICH value are given has input with the decrement of 0.05 above two nearest value have taken for more accuracy.
  3. trail 3 from trail 2 trail the RICH values have been hiven has input with decrement of 0.01 and most accurate value is found

picth angle=0.0002116deg = 0

PFA the files in drive.

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