Solve Air Spring Equations for Walking System

[ajal]

Hi,

I am modeling some king of walking system, and I need to use air spring. The one that is conventionally used (I think so) has an energy equation like:

U(x) = K/2 * (1/x^2 - 1/x0^2)

I am trying do derive the "force" equation for this air spring so I can use if with Newton's second law equations of motion.

Would you please help me with this. Thanks.

 

[timthereaper]

Please explain this "king of walking system". Is it a system that allows you to walk like a king or is it the king of all "walking systems" (whatever a walking system is)?

 

[ajal]

typo:

king of --> kind of

 

[meldraft]

Force is connected with potential energy with this formula:

F(x)=-dU/dx

 

[ajal]

Thanks! Helped!