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Wheel climbing a ramp

XDN
13-Aquamarine
13-Aquamarine

Wheel climbing a ramp

Hello to all Mathcad professionnals

I need your help again.

 

I need to calculate a drive torque for a wheel climbing a ramp.

i can calculate this,  but my worksheet is not elegant and is heavy 😥 (probably, i'a m using matchad programmation not correctly)

 

Annotation 2020-07-23 135517.jpg

 

Here is now i do

The ramp is cylindrical profil

in first time

Annotation 2020-07-23 114502.jpg

 

now, i dicotomize a ramp ( arc lenght)

Annotation 2020-07-23 114729.jpg

 

In second time. At this step, this is a mechanical problem

I assume the ramp angle is simply a/2 .

In fact, the ramp (red line, on the picture) is the tangent equation at the circle. the first point where we calculate a tangent is calculate with polar coordinates from dicotomized values.

 

Annotation 2020-07-23 115400.jpg

 

I think my result its Ok

but i want more 😁

 

I want calculate all Traction forces and all associated torques for all dicotomized value.

in one program ?

and i want to draw all result

at this moment i am lost, can you help me

thank

 

attacher P6 file

 

32 REPLIES 32
XDN
13-Aquamarine
13-Aquamarine
(To:Werner_E)

Thanks!

it's good !

Annotation 2020-07-24 192159.jpg

 C is Torque (Couple, in my language, because is Forces x lenght is a couple of values)

the red curve must be negative , because the wheel 1 ( blue curve) climb the ramp

and the wheel 2 ( red curve)  go down the ramp

the force has left the wheel 1 at 22.5deg , even if it continues to climb, the torque decrease.

 

fabulous , i learn Mathcad slowly ... Thanks Werner 👍

XDN
13-Aquamarine
13-Aquamarine
(To:XDN)

the file 😏

Werner_E
24-Ruby V
(To:XDN)

The maximum is not exactly at 22.5°:

Werner_E_0-1595612802353.png

Good thing that we have functions 🙂

 

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