Dynamic forces acting on a rolling wheel/sphere

[James_Frogan]

Good afternoon,

I've tried to find a simplified model for the dynamic forces acting on a rolling wheel, but have had very limited success. I'm looking for a force that is proportional (or related to) the rotational velocity of the wheel (rotational damping) because of the contact point of the wheel.

Would anyone be able to shed light on this?

Thanks.

 

[Spinnor]

Half way down the following article they give the formula you are looking for, hope it helps.

http://en.wikipedia.org/wiki/Rolling_resistance

Found via:

http://www.google.com/webhp?hl=en&t..._gc.r_pw.&fp=1fa7c254c97e187f&biw=800&bih=417

 

[James_Frogan]

Thanks Spinnor,
I am aware of rolling resistance, but I believe that angular velocity of the wheel is a function of only the power required to overcome rolling resistance; whereas I am looking for a force (not power) that has velocity as a dependent. More specifically I am looking for a real-life force that acts as a rotational viscous damper, except that viscosity by air friction is not a consideration.

I had a look at Hertz contact forces but I can only see non-velocity dependent terms.

 

[Spinnor]

Found some stuff that might be relevant, do you have access to a good engineering library? The following book and ones like it should have what you need. Google let's me see several pages,

http://books.google.com/books?id=NS...tance of auto tire&pg=PA36#v=onepage&q&f=true

Found via Google book search,

http://www.google.com/search?hl=en&...&ie=UTF-8&tbo=u&tbm=bks&source=og&sa=N&tab=wp

Go down 1/4 of the following page and see figures 4 and 5 along with their explanation, Rolling speed,

http://www.tut.fi/plastics/tyreschool/moduulit/moduuli_8/hypertext_1/3/3_3.html

Good luck!

 

[PJC01]

Hello,

I can provide some insight into the dynamic forces acting on a rolling wheel or sphere. First, it is important to understand that there are two main types of forces involved in this scenario: contact forces and non-contact forces.

Contact forces include the normal force, which is the force exerted by the ground on the wheel to support its weight, and the frictional force, which opposes the motion of the wheel and is responsible for the wheel's ability to roll without slipping. These forces are dependent on the properties of the surface and the wheel, such as the coefficient of friction and the shape of the wheel.

Non-contact forces include gravity, which pulls the wheel towards the ground, and air resistance, which acts against the motion of the wheel. These forces are not directly related to the rotational velocity of the wheel, but can affect it indirectly by changing the overall motion of the wheel.

In terms of rotational damping, this is typically caused by friction between the wheel and its axle or bearings. This friction can decrease the rotational velocity of the wheel over time, leading to a decrease in the wheel's overall speed.

I hope this helps to shed some light on the dynamic forces acting on a rolling wheel. Let me know if you have any further questions or if I can provide more specific information.