Question About Heave Calculations

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Question About Heave Calculations

Postby marc » Thu 12. Feb 2015, 22:08

Hello Everyone,

I'm trying to calculate the acceleration duration for a certain heave displacement in order to generation 0.5G (4.905 m/s²) of accelearation.

I'm using CKAS U5 3DOF Motion Syteme to double check my calculations and cannot seem to be able to reproduce their results which are:
    displacement =0.140 m
    velocity=0.280 m/s
    acceleration=4.905 m/s²

I know that:
    The Time t taken for an object to fall distance d is t=SQRT(2d/g)
    Instantaneous velocity vi of a falling object after elapsed time t is vi = gt
    The Instantaneous velocity vi of a falling object that has traveled distance d is vi = SQRT(2gd)

My guest is that we need one half of the displacement to accelerate to speed and the other half in reserve to stop moving.

This would mean that (0.14/2)=0.07 would be the actual length available for the acceleration meaning that:
    t = SQRT(2x0.070/4.905) = 0.169 s

Trying to get back to the CKAS velocity of 0.280 m/s I'm getting
    vi = gt = 4.905x0.169 = 0.829 m/s
    vi = SQRT(2gd) = SQRT(2x4.905x0.07) = 0.829 m/s

0.829 m/s is far for been equal to 0.280 m/s

This is so frustrating. :(

I must be missing something so basic. :oops:

Could someone tell me what I'm doing wrong.
Marc T.
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